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187 results on '"Cédric Join"'

101. Stability analysis for unknown delayed systems controlled by model-free control

Author: Frederic Hamelin, Maxime Doublet, Cédric Join, Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, and Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Subjects: Difficult problem, Physics, 0209 industrial biotechnology, Stability (learning theory), Pole–zero plot, 02 engineering and technology, Model-free control, Model free, stability analysis, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, 020401 chemical engineering, Control theory, Control system, unknown delayed system, 0204 chemical engineering, Control (linguistics), Numerical stability
Abstract: International audience; Unknown delayed systems are present in many domains and control this kind of systems remains a difficult problem. Indeed, we can find theses systems in physics, chemistry, aeronautics, etc. The main problem is that the delay is unknown, and so the model is not exactly well-known. By the way, the use of model-free control (MFC) remains a suitable solution to tackle this problem. This paper deals with a stability analysis to show the influence of a parameter on the stability of the systems regarding to the delay.
Published: 2017
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102. A simple and efficient feedback control strategy for wastewater denitrification

Author: Stéphane Mottelet, Sabrina Rechdaoui-Guérin, V. Rocher, Cédric Join, Sam Azimi, Jean Bernier, Michel Fliess, Centre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), SIAAP - Direction du Développement et de la Prospective, SIAAP, Transformation Intégrée de la Matière Renouvelable (TIMR), Université de Technologie de Compiègne (UTC), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Engineering, Denitrification, Calibration (statistics), biofiltration, Control (management), knowledge-based control, Systems and Control (eess.SY), 02 engineering and technology, 010501 environmental sciences, model-free control, 01 natural sciences, [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], [SPI.AUTO]Engineering Sciences [physics]/Automatic, intelligent P controllers, 020401 chemical engineering, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], [SPI.GPROC]Engineering Sciences [physics]/Chemical and Process Engineering, 0204 chemical engineering, Mathematics - Optimization and Control, robustness performance, 0105 earth and related environmental sciences, feedback control design, wastewater - treatment - treatment biological, [SDV.EE]Life Sciences [q-bio]/Ecology, environment, denitrification, business.industry, [SDE.IE]Environmental Sciences/Environmental Engineering, Feed forward, Control engineering, artificial intelligence, 6. Clean water, Variable (computer science), algebraic estimation techniques, Wastewater, Optimization and Control (math.OC), Control and Systems Engineering, Key (cryptography), Computer Science - Systems and Control, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], business
Abstract: Due to severe mathematical modeling and calibration difficulties open-loop feedforward control is mainly employed today for wastewater denitrification, which is a key ecological issue. In order to improve the resulting poor performances a new model-free control setting and its corresponding "intelligent" controller are introduced. The pitfall of regulating two output variables via a single input variable is overcome by introducing also an open-loop knowledge-based control deduced from the plant behavior. Several convincing computer simulations are presented and discussed., Comment: IFAC 2017 World Congress, Toulouse, France
Published: 2017
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103. Active fault-tolerant control system design with trajectory re-planning against actuator faults and saturation: Application to a quadrotor unmanned aerial vehicle

Author: Didier Theilliol, Abbas Chamseddine, Camille Alain Rabbath, Cédric Join, and Youmin Zhang
Subjects: Engineering, business.industry, Flatness (systems theory), Open problem, Testbed, Control engineering, Kalman filter, Active fault, Fault detection and isolation, Setpoint, Control and Systems Engineering, Control theory, Signal Processing, Electrical and Electronic Engineering, business, Actuator
Abstract: During the past 30 years, various fault-tolerant control (FTC) methods have been developed to address actuator or component faults for various systems with or without tracking control objectives. However, very few FTC strategies establish a relation between the post-fault reference trajectory to track and the remaining resources in the system after fault occurrence. This is an open problem that is not well considered in the literature. The main contribution of this paper is in the design of a reconfigurable FTC and trajectory planning scheme with emphasis on online decision making using differential flatness. In the fault-free case and on the basis of the available actuator resources, the reference trajectories are synthesized so as to drive the system as fast as possible to its desired setpoint without violating system constraints. In the fault case, the proposed active FTC system (AFTCS) consists in synthesizing a reconfigurable feedback control along with a modified reference trajectories once an actuator fault has been diagnosed by a fault detection and diagnosis scheme, which uses a parameter-estimation-based unscented Kalman filter. Benefited with the integration of trajectory re-planning using the flatness concept and the compensation-based reconfigurable controller, both faults and saturation in actuators can be handled effectively with the proposed AFTCS design. Advantages and limitations of the proposed AFTCS are illustrated using an experimental quadrotor unmanned aerial vehicle testbed
Published: 2013
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104. Trajectory planning/re-planning for satellite systems in rendezvous mission in the presence of actuator faults based on attainable efforts analysis

Author: Cédric Join, Didier Theilliol, Abbas Chamseddine, Centre de Recherche en Automatique de Nancy (CRAN), and Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Engineering, Fault occurrence, business.industry, Trajectory planning/re-planning, Flatness (systems theory), Rendezvous, Control engineering, 02 engineering and technology, Satellite systems, Computer Science Applications, Theoretical Computer Science, Actuator saturation, Actuator faults, 020901 industrial engineering & automation, Control and Systems Engineering, Control theory, Trajectory planning, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Flatness, 020201 artificial intelligence & image processing, business, Actuator, Attainable efforts
Abstract: International audience; The objective of Fault-tolerant Control (FTC) is to minimize the effect of faults on systems performance (stability, trajectory tracking, etc.). However, the majority of the existing FTC methods continue to force the system to follow the pre-fault trajectories without considering the reduction in available control resources caused by actuator faults. Forcing the system to follow the same trajectories as before fault occurrence may result in actuator saturation and system's instability. Thus, pre-fault objectives should be redefined in function of the remaining resources to avoid potential saturation. The main contribution of this paper is a flatness-based trajectory planning/re-planning method that can be combined with any active FTC approach. The work considers the case of over-actuated systems where a new idea is proposed to evaluate the severity of faults occurred. In addition, the trajectory planning/re-planning approach is formulated as an optimization problem based on the analysis of attainable efforts domain in fault-free and fault cases. The proposed approach is applied to two satellite systems in \textit{rendezvous} mission
Published: 2013
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105. Model-free control for unknown delayed systems

Author: M. Doublet, Cédric Join, Frederic Hamelin, Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, and Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)
Subjects: 0209 industrial biotechnology, Engineering, business.industry, Estimation theory, Open problem, unknown delay, Context (language use), 02 engineering and technology, Model free, model-free control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, Control theory, Control system, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, Control (linguistics), business, parameter estimation, delayed systems
Abstract: International audience; The use of model-free control (MFC) spreads now more and more in industry. Nevertheless, control unknown delayed systems with this method remains an open problem. In this contribution, we present the use of model-free control in this context and we propose a solution to improve the effectiveness of this approach using a parameter estimation.
Published: 2016

106. Model-free immune therapy: A control approach to acute inflammation

Author: Cédric Join, Seddik M. Djouadi, Michel Fliess, Ouassim Bara, Judy Day, Department of Electrical Engineering and Computer Science [Knoxville], The University of Tennessee [Knoxville], Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Department of Mathematics University of Tennessee Knoxville, Department of Mathematics [Tennessee], The University of Tennessee [Knoxville]-The University of Tennessee [Knoxville], Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), and Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)
Subjects: 0301 basic medicine, 0209 industrial biotechnology, Computer science, Inflammatory response, intelligent proportional controller, 02 engineering and technology, Variation (game tree), model-free control, Quantitative Biology - Quantitative Methods, [INFO.INFO-AI]Computer Science [cs]/Artificial Intelligence [cs.AI], [SPI.AUTO]Engineering Sciences [physics]/Automatic, 03 medical and health sciences, Drug treatment, 020901 industrial engineering & automation, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, FOS: Mathematics, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], [INFO.INFO-BT]Computer Science [cs]/Biotechnology, Control (linguistics), Mathematics - Optimization and Control, Quantitative Methods (q-bio.QM), Control engineering, inflammatory response, Model free, 3. Good health, Immune therapy, immune system, 030104 developmental biology, Optimization and Control (math.OC), Feature (computer vision), FOS: Biological sciences, [SDV.IMM]Life Sciences [q-bio]/Immunology, [SDV.IB]Life Sciences [q-bio]/Bioengineering, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Abstract: Control of an inflammatory immune response is still an ongoing research. Here, a strategy consisting of manipulating a pro and anti-inflammatory mediator is considered. Already existing and promising model-based techniques suffer unfortunately from a most difficult calibration. This is due to the different types of inflammations and to the strong parameter variation between patients. This communication explores another route via the new model-free control and its corresponding "intelligent" controllers. A "virtual" patient, i.e., a mathematical model, is only employed for digital simulations. A most interesting feature of our control strategy is the fact that the two outputs which must be driven are sensorless. This difficulty is overcome by assigning suitable reference trajectories to two other outputs with sensors. Several most encouraging computer simulations, corresponding to different drug treatment strategies, are displayed and discussed., European Control Conference, Aalborg, Denmark, June 29 - July 1, 2016
Published: 2016

107. Solar energy production: Short-term forecasting and risk management

Author: Frédéric Chaxel, Cyril Voyant, Cédric Join, Michel Fliess, Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Sciences pour l'environnement (SPE), Université Pascal Paoli (UPP)-Centre National de la Recherche Scientifique (CNRS), Centre hospitalier d'Ajaccio, Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), and Centre National de la Recherche Scientifique (CNRS)-Université Pascal Paoli (UPP)
Subjects: FOS: Computer and information sciences, Operations research, Computer science, 020209 energy, Gaussian, solar energy, volatility, 02 engineering and technology, [QFIN.RM]Quantitative Finance [q-fin]/Risk Management [q-fin.RM], 7. Clean energy, ACM: G.: Mathematics of Computing, [SPI.AUTO]Engineering Sciences [physics]/Automatic, FOS: Economics and business, symbols.namesake, [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], Computer Science - Data Structures and Algorithms, 0202 electrical engineering, electronic engineering, information engineering, Econometrics, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], Production (economics), Data Structures and Algorithms (cs.DS), Risk management, confidence bands, risk, intelligent knowledge-based systems, Series (mathematics), business.industry, normality tests, [SDE.IE]Environmental Sciences/Environmental Engineering, [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], persistence, Solar energy, Term (time), Electricity generation, Control and Systems Engineering, forecasts, JEL: Q - Agricultural and Natural Resource Economics • Environmental and Ecological Economics, symbols, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Volatility (finance), time series, General Finance (q-fin.GN), Quantitative Finance - General Finance, business
Abstract: Electricity production via solar energy is tackled via short-term forecasts and risk management. Our main tool is a new setting on time series. It allows the definition of "confidence bands" where the Gaussian assumption, which is not satisfied by our concrete data, may be abandoned. Those bands are quite convenient and easily implementable. Numerous computer simulations are presented., 8th IFAC Conference on Manufacturing Modelling, Management & Control (Troyes, France, June 2016)
Published: 2016
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108. Model-based versus model-free control designs for improving microalgae growth in a closed photobioreactor: Some preliminary comparisons

Author: Mariana Titica, Didier Dumur, Michel Fliess, Cédric Join, Sihem Tebbani, Laboratoire des signaux et systèmes (L2S), Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Paris-Sud - Paris 11 (UP11), Supélec Sciences des Systèmes [Gif-sur-Yvette] (E3S), SUPELEC, Bioprocédés Appliqués aux Microalgues (GEPEA-BAM), Laboratoire de génie des procédés - environnement - agroalimentaire (GEPEA), Ecole Nationale Vétérinaire, Agroalimentaire et de l'alimentation Nantes-Atlantique (ONIRIS)-Université Bretagne Loire (UBL)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS)-Ecole Nationale Vétérinaire, Agroalimentaire et de l'alimentation Nantes-Atlantique (ONIRIS)-Université Bretagne Loire (UBL)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189 (CRIStAL), Ecole Centrale de Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Ecole Centrale de Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Université Paris-Sud - Paris 11 (UP11)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS), Supélec Sciences des Systèmes (E3S), Ecole Supérieure d'Electricité - SUPELEC (FRANCE), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-IMT Atlantique Bretagne-Pays de la Loire (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Centre National de la Recherche Scientifique (CNRS)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Université de Nantes (UN)-Institut Universitaire de Technologie - Nantes (IUT Nantes), Université de Nantes (UN)-Institut Universitaire de Technologie Saint-Nazaire (IUT Saint-Nazaire), Université de Nantes (UN)-Institut Universitaire de Technologie - La Roche-sur-Yon (IUT La Roche-sur-Yon), Université de Nantes (UN)-Ecole Nationale Vétérinaire, Agroalimentaire et de l'alimentation Nantes-Atlantique (ONIRIS)-Université Bretagne Loire (UBL)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Ecole Nationale Vétérinaire, Agroalimentaire et de l'alimentation Nantes-Atlantique (ONIRIS)-Université Bretagne Loire (UBL), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), Institut Universitaire de Technologie - Nantes (IUT Nantes), Université de Nantes (UN)-Université de Nantes (UN)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-Institut Universitaire de Technologie Saint-Nazaire (IUT Saint-Nazaire), Université de Nantes (UN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-École nationale vétérinaire, agroalimentaire et de l'alimentation Nantes-Atlantique (ONIRIS)-Centre National de la Recherche Scientifique (CNRS)-Université Bretagne Loire (UBL)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT)-Institut Universitaire de Technologie - La Roche-sur-Yon (IUT La Roche-sur-Yon), Université de Nantes (UN)-Institut Universitaire de Technologie - Nantes (IUT Nantes), Université de Nantes (UN), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, [SDV.BIO]Life Sciences [q-bio]/Biotechnology, Computer science, 020209 energy, Control (management), Photobioreactor, intelligent proportional controller, 02 engineering and technology, Systems and Control (eess.SY), model-free control, 7. Clean energy, Electrical Engineering and Systems Science - Systems and Control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, photobioreactor, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, FOS: Electrical engineering, electronic engineering, information engineering, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], Microalgae growth, [SPI.GPROC]Engineering Sciences [physics]/Chemical and Process Engineering, [INFO.INFO-BT]Computer Science [cs]/Biotechnology, microalgae, Model free, input-output feedback linearizing controller, Biochemical engineering, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Abstract: Controlling microalgae cultivation, i.e., a crucial industrial topic today, is a challenging task since the corresponding modeling is complex, highly uncertain and time-varying. A model-free control setting is therefore introduced in order to ensure a high growth of microalgae in a continuous closed photobioreactor. Computer simulations are displayed in order to compare this design to an input-output feedback linearizing control strategy, which is widely used in the academic literature on photobioreactors. They assess the superiority of the model-free standpoint both in terms of performances and implementation simplicity., Comment: The 24th Mediterranean Conference on Control and Automation (MED'16), Athens, Greece (June 21-24, 2016)
Published: 2016
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109. Real-time estimation of the switching signal for perturbed switched linear systems

Author: Wilfrid Perruquetti, Cédric Join, Michel Fliess, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Systèmes Non Linéaires et à Retards (SyNeR), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
Subjects: 0209 industrial biotechnology, Differential equation, Linear system, Perturbation (astronomy), 02 engineering and technology, General Medicine, 020901 industrial engineering & automation, Switching signal, Time estimation, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Hybrid system, 0202 electrical engineering, electronic engineering, information engineering, Numerical differentiation, Applied mathematics, 020201 artificial intelligence & image processing, Mathematics
Abstract: International audience; We extend previous works of Fliess et al. [2008] on the estimation of the switching signal and of the state for switching linear systems to the perturbed case when the perturbation is structured that is when the perturbation is unknown but known to satisfy a certain differential equation (for example if the perturbation is constant then its time-derivative is zero). We characterize also singular inputs and/or perturbations for which the switched systems become undistinguishable. Several convincing numerical experiments are illustrating our techniques which are easily implementable.
Published: 2009
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110. Fault diagnosis of uncertain linear system using structural knowledge

Author: Cédric Join, A. Moussa Ali, and Frédéric Hamelin
Subjects: Engineering, business.industry, Linear system, Control engineering, Hardware_PERFORMANCEANDRELIABILITY, General Medicine, Residual, Fault (power engineering), Linear dynamical system, Stuck-at fault, Computer Science::Hardware Architecture, Identification (information), Control theory, Algebraic number, Actuator, business, Computer Science::Operating Systems, Computer Science::Distributed, Parallel, and Cluster Computing
Abstract: This paper presents an algebraic approach of fault diagnosis in linear dynamical system. Additive actuator and sensor faults are considered. Using tools and results of algebraic identification and pseudospectra analysis, a method is proposed for the generation of a residual sensitive to faults. The main advantage of this new approach is to realize fault diagnosis only from knowledge of input and output measurements and without identifying explicitly model parameters. A numerical example is provided and discussed to illustrate the efficiency of the proposed fault diagnosis method.
Published: 2009
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111. MODEL-FREE CONTROL AND INTELLIGENT PID CONTROLLERS: TOWARDS A POSSIBLE TRIVIALIZATION OF NONLINEAR CONTROL?

Author: Cédric Join, Michel Fliess, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), IFAC, and Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
Subjects: 0209 industrial biotechnology, diagnosis, Computer science, [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC], control with a restricted model, PID controller, robustness, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], 02 engineering and technology, anti-windup, Nonlinear control, model-free control, universal control, 020901 industrial engineering & automation, Robustness (computer science), Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, differential algebra, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, Differential algebra, delay systems, Mathematics - Optimization and Control, large-scale systems, PID, Linear system, linear systems, Computer Science - Numerical Analysis, non-minimum phase systems, Numerical Analysis (math.NA), General Medicine, [INFO.INFO-NA]Computer Science [cs]/Numerical Analysis [cs.NA], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, Nonlinear system, Model predictive control, numerical differentiators, Optimization and Control (math.OC), Mathematics - Classical Analysis and ODEs, 020201 artificial intelligence & image processing, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], nonlinear systems, predictive control, intelligent PID controllers, frictions
Abstract: We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent" PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiation. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments., This communication is a slightly modified and updated version of a paper by the same authors (Commande sans mod\`ele et commande \`a mod\`ele restreint, e-STA, vol. 5 (\degree 4), pp. 1-23, 2008. Available at http://hal.inria.fr/inria-00288107/en/), which is written in French
Published: 2009
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112. Model-Free Control of Shape Memory Alloys Antagonistic Actuators

Author: Cédric Join, Pierre-Antoine Gédouin, Shabnam Arbab Chirani, Emmanuel Delaleau, Sylvain Calloch, and Jean-Matthieu Bourgeot
Subjects: Engineering, Control theory, business.industry, Perspective (graphical), Control engineering, Shape-memory alloy, Model free, Control (linguistics), Actuator, Nonlinear control design, business
Abstract: This paper deals with a first application of the new framework of model-free control to the promising technology of shape memory alloys actuators. In particular antagonistic shape memory alloys actuator. These devices are known to be difficult to model in a control perspective. Simulations results are exposed and some preliminary experimental results illustrates the paper.
Published: 2008
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113. FLATNESS-BASED FAULT TOLERANT CONTROL OF A NONLINEAR MIMO SYSTEM USING ALGEBRAIC DERIVATIVE ESTIMATION

Author: Philipp Mai, Johan Reger, Cédric Join, Institute of Automation and Control (EIT 8.1), Universität der Bundeswehr München [Neubiberg], Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Control Laboratory (EECS), University of Michigan [Ann Arbor], and University of Michigan System-University of Michigan System
Subjects: Fault tolerant systems, 020301 aerospace & aeronautics, 0209 industrial biotechnology, Engineering, estimation, business.industry, Underactuation, Flatness (systems theory), MIMO, Fault tolerance, 02 engineering and technology, Rigid body, nonlinear control systems, Stuck-at fault, Nonlinear system, 020901 industrial engineering & automation, 0203 mechanical engineering, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Actuator, business
Abstract: A flatness-based approach to fault tolerant control is proposed. The approach uses the recently published algebraic derivative estimation method for the estimation of those output derivatives that are necessary for determining intermittent actuator faults. The rapid performance of the estimation allows for an accommodation of the control to the fault. Additionally, taking into account the control saturations a novel classification scheme for actuator faults is introduced that exhibits a comprehensible graphical representation in terms of reachable sets. Dependent on the respective class of fault, an online adaptation of the reference trajectory is carried out. The ideas are demonstrated on a nonlinear MIMO system, which corresponds to an underactuated rigid body.
Published: 2007
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114. TOWARDS A MODEL-FREE OUTPUT TRACKING OF SWITCHED NONLINEAR SYSTEMS

Author: Wilfrid Perruquetti, Cédric Join, Romain Bourdais, Michel Fliess, Laboratoire d'Automatique, Génie Informatique et Signal (LAGIS), Université de Lille, Sciences et Technologies-Centrale Lille-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Nonlinear SISO systems, Computer science, Stability (learning theory), 02 engineering and technology, model-free control, Tracking (particle physics), numerical differentiation, 020901 industrial engineering & automation, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Algebraic number, [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], 020208 electrical & electronic engineering, Control engineering, General Medicine, Model free, hybrid systems, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, Nonlinear system, Hybrid system, Numerical differentiation, switched systems, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
Abstract: We extend previous works on model-free control to switched nonlinear SISO systems. Our contribution, which is utilizing new algebraic methods for numerical differentiations, yields PID-like regulators which ensure practical stability. Several academic examples, with convincing computer simulations, are illustrating our approach.
Published: 2007
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115. On meteorological forecasts for energy management and large historical data: A first look

Author: Cédric Join, Marc Muselli, Michel Fliess, Marie Laure Nivet, Cyril Voyant, Christophe Paoli, Centre de Radiothérapie, Sciences pour l'environnement (SPE), Centre National de la Recherche Scientifique (CNRS)-Université Pascal Paoli (UPP), Non-Asymptotic estimation for online systems (NON-A), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), ALIEN, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Université Galatasaray (GSU), Université Pascal Paoli (UPP)-Centre National de la Recherche Scientifique (CNRS), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Computer science, Energy management, 020209 energy, Big data, Energy Engineering and Power Technology, Computational intelligence, forecasting, 02 engineering and technology, [INFO.INFO-NE]Computer Science [cs]/Neural and Evolutionary Computing [cs.NE], computer.software_genre, 7. Clean energy, [SPI.AUTO]Engineering Sciences [physics]/Automatic, [INFO.INFO-IU]Computer Science [cs]/Ubiquitous Computing, 020901 industrial engineering & automation, [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], big data, 0202 electrical engineering, electronic engineering, information engineering, multilayer perceptron, Electrical and Electronic Engineering, meteorology, [INFO.INFO-DB]Computer Science [cs]/Databases [cs.DB], Series (mathematics), Artificial neural network, Renewable Energy, Sustainability and the Environment, business.industry, [SDE.IE]Environmental Sciences/Environmental Engineering, quick fluctuations, persistence, Industrial engineering, [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], trend, Multilayer perceptron, scaled persistence, Data mining, time series, business, computer
Abstract: Published in Renewable Energy and Power Quality Journal, n°13, mars 2015; International audience; This communication is devoted to a comparison between various meteorological forecasts, for the purpose of energy management, via different time series techniques. The first group of methods necessitates a large number of historical data. The second one does not and is much easier to implement, although its performances are today only slightly inferior. Theoretical justifications are related to methods stemming from a new approach to time series, artificial neural networks, computational intelligence and machine learning. Several numerical simulations are provided and discussed.
Published: 2015

116. MULTI-RED CONTROLLER FOR ROUTER FAULT ACCOMMODATION

Author: Christophe Aubrun, Cédric Join, and Kamel Menighed
Subjects: Router, Engineering, business.industry, Control theory, Transmission Control Protocol, Control system, ComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKS, Random early detection, Active queue management, business, Communications system, Fault detection and isolation
Abstract: In this work a classical model-based controllers for Active Queue Management(AQM) routers supporting dynamic model of Transmission Control protocol (TCP) flows is developed. Using this model, an AQM control system using Random Early Detection (RED) controller is designed. In first part, the interc0onnection terms of TCP are simplified. Second part, the stability of the closed loop system is studied on the basis of a simplified Internet router model (Misra et al. , 2000). In the proposed approach classical RED controller is adapted in order to take into account the network parameters variations. In the last part of the paper, the approach is validated using Matlab Simulation.
Published: 2006
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117. AN INTEGRATED WAY TO DESIGN FD/FTC MODULES VIA PARITY SPACE AND MODEL FOLLOWING

Author: Frédéric Hamelin, Hicham Jamouli, Cédric Join, Taha Boukhobza, Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, and Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Scheme (programming language), 0209 industrial biotechnology, Engineering, Computer science, 02 engineering and technology, Residual, Fault (power engineering), Fault detection and isolation, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, 0203 mechanical engineering, Control theory, computer.programming_language, 020301 aerospace & aeronautics, business.industry, Control reconfiguration, Control engineering, Fault tolerance, Optimal control, Fault indicator, Stuck-at fault, Heating system, Fault coverage, Benchmark (computing), Fault model, business, computer
Abstract: International audience; This paper deals with the problem of integration of fault diagnosis and fault tolerant control modules. The main objective is to ensure a good behavior of the closed-loop system in the presence of faults and disturbances. To this aim, a global active methodology is defined in order to synthesize an additive optimal control input from fault detection and isolation results. More precisely, a robust residual is firstly generated by means of usual parity relations to detect and isolate faults on the system. Next, a fault accommodation procedure, based model following control scheme, is used to generate an additive control input according to the residual characteristics. The efficiency of this methodology is illustrated through an heating system benchmark.
Published: 2006
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118. COMPLEX CONTINUOUS NONLINEAR SYSTEMS: THEIR BLACK BOX IDENTIFICATION AND THEIR CONTROL

Author: Cédric Join, Michel Fliess, and Hebertt Sira-Ramírez
Subjects: Nonlinear system, Scale (ratio), Control theory, Black box, Linear system, Phenomenological model, Differential algebra, General Medicine, Ball and beam, Reduction (mathematics), Mathematics
Abstract: Recent advances in estimation theory permit a new approach to nonlinear black box identification, where a phenomenological model is replacing a precise mathematical description. Convincing simulations are provided for two examples: 1) the classic ball and beam system, 2) a large scale linear system, where our setting may be regarded as a powerful alternative to model reduction.
Published: 2006
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119. INPUT AND STATE FUNCTIONAL OBSERVABILITY FOR DESCRIPTOR SYSTEMS

Author: Dominique Sauter, Frédéric Hamelin, Taha Boukhobza, and Cédric Join
Subjects: Control theory, Descriptor systems, Linear system, General Medicine, Observability, State (functional analysis), Subspace topology, Linear function, Mathematics
Abstract: This paper deals with the right-hand side observability of a linear function of the state and the unknown inputs for linear systems in descriptor form. For such systems, necessary and sufficient conditions ensuring the ability of reconstructing any given functional of the state and unknown inputs are determined by means of geometrical tools like subspace sequences.
Published: 2005
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120. Nonlinear filter design for fault diagnosis: application to the three-tank system

Author: Dominique Sauter, Didier Theilliol, Jean-Christophe Ponsart, and Cédric Join
Subjects: Nonlinear system, Engineering, Control and Systems Engineering, Control theory, business.industry, Nonlinear filter, Electrical and Electronic Engineering, Fault (power engineering), Residual, business, Instrumentation, Fault detection and isolation
Abstract: The problem of fault detection and isolation in a nonlinear framework is addressed. A systematic method that ensures the synthesis of asymptotic nonlinear filters is proposed for residual generation. In order to show the effectiveness of the proposed approach, each theoretical step is illustrated by means of simulations. The example of a three-tank system is then experimentally considered to verify the validity of our approach.
Published: 2005
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121. CONTROL OF AN UNCERTAIN THREE-TANK SYSTEM VIA ON-LINE PARAMETER IDENTIFICATION AND FAULT DETECTION

Author: Hebertt Sira-Ramírez, Cédric Join, and Michel Fliess
Subjects: Nonlinear system, Identification (information), Engineering, Estimation theory, Control theory, business.industry, Control (management), Line (geometry), General Medicine, Failure detection and isolation, Algebraic number, business, Fault detection and isolation
Abstract: We provide fast and on-line methods for failure detection and isolation of uncertain nonlinear systems which are operating in closed-loop. They are based on accurate values of the derivatives of a time-signal, which are obtained via new algebraic estimation techniques. The applicability and efficiency of our approach are illustrated by numerical simulations for a most popular case-study namely the three-tank system.
Published: 2005
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122. A Reliability Approach to Reconfiguration Strategy: Application to the IFATIS * Benchmark Problem

Author: Dominique Sauter, Fateh Guenab, Didier Theilliol, Philippe Weber, Cédric Join, and Jean-Christophe Ponsart
Subjects: Engineering, business.industry, Reliability (computer networking), Fault coverage, Benchmark (computing), Reconfigurability, Control reconfiguration, Fault tolerance, business, Fault (power engineering), Fault detection and isolation, Reliability engineering
Abstract: An approach for Fault Tolerant Control dealing with critical fault is proposed in this paper. The aim of Fault Tolerant Control is to preserve after fault occurrence the ability for the degraded system to reach performances as close as possible to those which were initially assigned to the system. After fault detection and isolation, control reconfiguration is a usual way to recover the nominal performances. The reconfiguration strategy proposed here is based on the reliability analysis of the system components. This strategy relies on the existence of system reconfigurability properties related to different set of resources according to the selected structure. The effectiveness and performances of the method are validated in simulation considering a heating system benchmark used in the Intelligent Fault Tolerant Control in Integrated Systems European project (IFATIS EU-IST-2001-32122).
Published: 2004
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123. Compression différentielle de transitoires bruités

Author: Michel Fliess, Mamadou Mboup, Hebertt Sira-Ramírez, and Cédric Join
Subjects: Pure mathematics, Noncommutative ring, Operational calculus, Compression (functional analysis), Signal compression, Signal theory, Differential algebra, General Medicine, Commutative algebra, Transient signal, Mathematics
Abstract: The analysis and compression of noisy transient signals are handled via methods stemming from elementary differential algebra, noncommutative algebra and operational calculus. The efficiency of our approach is illustrated by an academic example and a more concrete case-study which is a musical signal. To cite this article: M. Fliess et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).
Published: 2004
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124. Robust residual generation for linear fault diagnosis: an algebraic setting with examples

Author: Cédric Join, Michel Fliess, and Hebertt Sira-Ramírez
Subjects: Identification (information), Control and Systems Engineering, Operational calculus, Computer science, Calculus, Differential algebra, Isolation (database systems), Variety (universal algebra), Algebraic number, Residual, Fault (power engineering), Algorithm, Computer Science Applications
Abstract: We are generating residuals for linear fault diagnosis and isolation which are 1. robust with respect to a large variety of additive disturbances, A reader who is already familiar with this algebraic setting may directly proceed to § 3. The numerous examples on various aspects of diagnosis, like the previous one, are written on the other hand in such a way that they may be understood by anyone who is not mastering those mathematical tools. We hope therefore that our results might be understood by a large community. 2. working in closed-loop, even with uncertain parameters. Several examples with their computer simulations, including a concrete case-study of a two mass system, are enlightening our viewpoint. Our methods, which are mainly of algebraic flavour (module theory, differential algebra, and operational calculus), are borrowed from recent works on control and identification.
Published: 2004
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125. Diagnostic des systèmes non linéaires Contribution aux méthodes de découplage

Author: Cédric Join, Jean-Christophe Ponsart, and Domnique Sauter
Subjects: Control and Systems Engineering, Electrical and Electronic Engineering, Industrial and Manufacturing Engineering, Computer Science Applications
Abstract: Le travail presente dans ce memoire porte sur le diagnostic de systemes non lineaires en temps continu. Dans le but de determiner le type et l'apparition de defauts, des residus structures sont generes a partir de filtres, en respectant les etapes suivantes : - la premiere etape est une phase de decouplage d'une partie de l'etat du systeme de l'effet des perturbations. Nous proposons une methode qui permet de diminuer la dimension de ce sous-espace d'etat de maniere a limiter au maximum la propagation de ces perturbations dans l'espace d'etat ; - la deuxieme etape est l'etude de l'ensemble des sous-espaces d'etat sensibles aux defauts consideres dans le but de determiner s'il est possible de les detecter et isoler. En supposant la non-apparition simultanee de plusieurs defauts, une analyse structurelle des caracteristiques geometriques du systeme est menee. Ainsi, des conditions necessaires et suffisantes a l'isolation des defauts moins severes que celles associees a la resolution du F.P.R.G. sont proposees ; - la troisieme et derniere etape est la synthese d'un filtre d'isolation des defauts consideres. Une methode systematique assurant une expression explicite de l'injection de sortie est proposee. Une etude de la convergence des estimations de l'etat du filtre vers l'etat reel du systeme est egalement effectuee a partir de la theorie de la contraction. L'ensemble de la methode est appliquee sur le systeme des ``3 cuves''. Des simulations mettent en relief les resultats obtenus et l'apport des methodes proposees. Le dernier chapitre porte sur les premices d'un formalisme algebrique du diagnostic pour les systemes lineaires qui semble etre une perspective interessante pour les systemes non lineaires.
Published: 2003
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126. Nonlinear Filters Bank for F.D.I.: An Alternative to the Fundamental Problem of Residual Generation

Author: Dominique Sauter, Cédric Join, and J-C. Ponsart
Subjects: Nonlinear system, Engineering, Order (business), Control theory, business.industry, Control engineering, Residual, business, Fault detection and isolation
Abstract: The paper deals with nonlinear filters for Fault Detection and Isolation. An alternative to the Fundamental Problem of Residual Generation is proposed according that faults do not occur simultaneously. The main result is the proposition of a systematic method for filters bank design in order to isolate all faults. The method application is achieved on an academic example.
Published: 2003
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127. FAULT DETECTION AND ISOLATION VIA A NONLINEAR FILTER

Author: J-C. Ponsart, Dominique Sauter, and Cédric Join
Subjects: Nonlinear system, Engineering, Control theory, business.industry, Nonlinear filter, Isolation (database systems), business, Residual, Fault detection and isolation
Abstract: This paper deals with the problem of fault detection and isolation in nonlinear systems. A new design method for residual generation is developed, based on geometric approach. In this work, existence conditions given by De Persis and Isidori (C. De Persis and A. Isidori, 1999 and C. De Persis and A. Isidori, 2000) are considered. In order to illustrate the proposed results, a simulation example is carried out.
Published: 2002
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128. Short-term solar irradiance and irradiation forecasts via different time series techniques: A preliminary study

Author: Cyril Voyant, Marie Laure Nivet, Frédéric Chaxel, Cédric Join, Marc Muselli, Christophe Paoli, Michel Fliess, Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Sciences pour l'environnement (SPE), Centre National de la Recherche Scientifique (CNRS)-Université Pascal Paoli (UPP), Unité de Radiothérapie, Hôpital de Castelluccio, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Département de Génie Informatique, Université Galatasaray (GSU), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Université Pascal Paoli (UPP)-Centre National de la Recherche Scientifique (CNRS), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: FOS: Computer and information sciences, trends, Meteorology, Weather forecasting, solar irradiance and irradiation, Meteorological forecasts, FOS: Physical sciences, [INFO.INFO-NE]Computer Science [cs]/Neural and Evolutionary Computing [cs.NE], Solar irradiance, computer.software_genre, 7. Clean energy, Machine Learning (cs.LG), [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG], [STAT.ML]Statistics [stat]/Machine Learning [stat.ML], big data, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], multilayer perceptron, Irradiation, Time series, [INFO.INFO-DB]Computer Science [cs]/Databases [cs.DB], Series (mathematics), [SDE.IE]Environmental Sciences/Environmental Engineering, quick fluctuations, [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH], Term (time), MSC: 37M10, Noise, Computer Science - Learning, Physics - Atmospheric and Oceanic Physics, [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], Electricity generation, machine learning, Atmospheric and Oceanic Physics (physics.ao-ph), Environmental science, electricity production, time series, computer
Abstract: International audience; This communication is devoted to solar irradiance and irradiation short-term forecasts, which are useful for electricity production. Several different time series approaches are employed. Our results and the corresponding numerical simulations show that techniques which do not need a large amount of historical data behave better than those which need them, especially when those data are quite noisy.
Published: 2014

129. Towards a new viewpoint on causality for time series

Author: Cédric Join, Michel Fliess, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), ALgèbre pour Identification & Estimation Numériques (AL.I.E.N.), Non-Asymptotic estimation for online systems (NON-A), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre de Recherche en Automatique de Nancy (CRAN), Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), Samira El Yacoubi, Larbi Afifi, El Hassan Zerrik and Abdessamad Tridane (Eds.), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), and Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
Subjects: trends, 0209 industrial biotechnology, Computer science, [SDV]Life Sciences [q-bio], 02 engineering and technology, 01 natural sciences, Abstract concept, time series,quick fluctuations,trends,causation,Granger causality,return,beta,nonstandard analysis,quick fluctuations, Causality (physics), causation, [INFO.INFO-IU]Computer Science [cs]/Ubiquitous Computing, 020901 industrial engineering & automation, quick fluctuations, Granger causality, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], Econometrics, QA1-939, 0101 mathematics, Causation, return, JEL: C - Mathematical and Quantitative Methods, T57-57.97, Applied mathematics. Quantitative methods, [INFO.INFO-DB]Computer Science [cs]/Databases [cs.DB], Series (mathematics), 010102 general mathematics, Probabilistic logic, [SHS.PHIL]Humanities and Social Sciences/Philosophy, [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH], nonstandard analysis, [QFIN.ST]Quantitative Finance [q-fin]/Statistical Finance [q-fin.ST], Financial engineering, [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], MSC: 37M10, 62M10, 91B84, beta, time series, Mathematical economics, Mathematics
Abstract: Causation between time series is a most important topic in econometrics, financial engineering, biological and psychological sciences, and many other fields. A new setting is introduced for examining this rather abstract concept. The corresponding calculations, which are much easier than those required by the celebrated Granger-causality, do not necessitate any deterministic or probabilistic modeling. Some convincing computer simulations are presented., La causalité entre chroniques est un sujet capital en économétrie, ingénierie financière, sciences biologiques et psychologiques, et quantité d'autres domaines. On introduit ici une nouvelle approche pour traiter ce concept abstrait. Les calculs, qui sont beaucoup plus simples que ceux liés à la causalité de Granger, bien connue, ne nécessitent aucune modélisation déterministe ou probabiliste. On présente plusieurs simulations numériques réussies.
Published: 2014

130. Fault-tolerant control based on algebraic derivative estimation applied on a magnetically supported plate

Author: Cédric Join, Mamadou Mboup, Joachim Rudolph, Lothar Kiltz, Lehrstuhl für Systemtheorie und Regelungstechnik (LSR), Universität des Saarlandes [Saarbrücken], Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Sciences et Technologies de l'Information et de la Communication - EA 3804 (CRESTIC), Université de Reims Champagne-Ardenne (URCA), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), and Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)
Subjects: Fault-tolerant control, 0209 industrial biotechnology, Engineering, Identification scheme, 010103 numerical & computational mathematics, 02 engineering and technology, Fault (power engineering), 01 natural sciences, Change-point detection, 020901 industrial engineering & automation, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0101 mathematics, Electrical and Electronic Engineering, Algebraic number, Control (linguistics), Fault diagnosis, business.industry, Applied Mathematics, Fault tolerance, Computer Science Applications, Nonlinear system, Numerical differentiation, Algebraic estimation, Control and Systems Engineering, business, Change detection
Abstract: International audience; A fault-tolerant control method based on algebraic derivative estimation is introduced. It is applied on an electromagnetically supported plate as an example of a nonlinear and an open-loop unstable system. The design of the closed loop control is facilitated assuming that relevant faults are identified sufficiently precisely and fast. This is justified by a novel robust model-based fault identification scheme which relies on algebraic methods for numerical differentiation. Derivative estimation parameters and fault-detection thresholds are chosen systematically based on the properties of the measurements. The experimental results show the practical usefulness of the presented methods.
Published: 2014
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131. Active magnetic bearing: A new step for model-free control

Author: Cédric Join, Michel Fliess, Stéphane Bonnet, Jérôme de Miras, Samer Riachy, Heuristique et Diagnostic des Systèmes Complexes [Compiègne] (Heudiasyc), Université de Technologie de Compiègne (UTC)-Centre National de la Recherche Scientifique (CNRS), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Électronique et Commande des Systèmes Laboratoire (ECS-Lab), Ecole Nationale Supérieure de l'Electronique et de ses Applications, Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL), and Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
Subjects: 0209 industrial biotechnology, Engineering, business.industry, Stability (learning theory), Magnetic bearing, 02 engineering and technology, Model free, model-free control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Active magnetic bearings, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, [SPI.GCIV]Engineering Sciences [physics]/Civil Engineering, 020901 industrial engineering & automation, Control theory, intelligent PID controllers, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, 020201 artificial intelligence & image processing, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Control (linguistics), business
Abstract: International audience; The newly introduced model-free control is applied to the stabilization of an active magnetic bearing, which is a most important industrial device. Experimental results are compared to those obtained via other control techniques, showing at least on-par performance with this very straightforward approach, which is moreover quite easy to implement.
Published: 2013
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132. 'Intelligent' controllers on cheap and small programmable devices

Author: Cédric Join, Frédéric Chaxel, and Michel Fliess
Subjects: 0209 industrial biotechnology, Control synthesis, Computer science, business.industry, 020209 energy, Emphasis (telecommunications), Real-time computing, Fault tolerance, 02 engineering and technology, Industrial control system, Identification (information), Microcontroller, 020901 industrial engineering & automation, Control system, Embedded system, 0202 electrical engineering, electronic engineering, information engineering, Intelligent control, business
Abstract: It is shown that the “intelligent” controllers which are associated to the recently introduced model-free control synthesis may be easily implemented on cheap and small programmable devices. Several successful numerical experiments are presented with a special emphasis on fault tolerant control.
Published: 2013
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133. Flatness-based Trajectory Planning/Re-planning for a Quad-rotor Unmanned Aerial Vehicle

Author: Cédric Join, Didier Theilliol, Abbas Chamseddine, Camille Alain Rabbath, Youmin Zhang, Dept. of Mechanical and Industrial Engineering, Concordia University [Montreal], Defence Research and Development Canada, Centre de Recherche en Automatique de Nancy (CRAN), and Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Fault-tolerant control, 0209 industrial biotechnology, Engineering, Flatness (systems theory), Differential flatness, Aerospace Engineering, 02 engineering and technology, Inverse dynamics, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, Control theory, 0202 electrical engineering, electronic engineering, information engineering, Quad-rotor UAV, Motion planning, Electrical and Electronic Engineering, Total energy, business.industry, Trajectory planning/re-planning, Control engineering, Constrained optimization problem, Trajectory planning, 020201 artificial intelligence & image processing, business, Actuator
Abstract: International audience; This paper proposes a flatness-based flight trajectory planning/re-planning strategy for a quad-rotor unmanned aerial vehicle (UAV). In the nominal situation (fault-free case), the objective is to drive the system from an initial position to a final one without hitting the actuator constraints while minimizing the total time of the mission or minimizing the total energy spent. When actuator faults occur, fault-tolerant control is combined with trajectory re-planning to change the reference trajectory in function of the remaining resources in the system. The approach employs differential flatness to express the control inputs to be applied in function of the desired trajectories and formulates the trajectory planning/re-planning problem as a constrained optimization problem.
Published: 2012
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134. Preliminary remarks on option pricing and dynamic hedging

Author: Michel Fliess, Cédric Join, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), and Centre National de la Recherche Scientifique (CNRS)-Université de Lorraine (UL)
Subjects: 0209 industrial biotechnology, volatility, 02 engineering and technology, [QFIN.CP]Quantitative Finance [q-fin]/Computational Finance [q-fin.CP], 020901 industrial engineering & automation, Quantitative Finance - Computational Finance, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Economics, option pricing, dynamic hedging, 050208 finance, JEL: G - Financial Economics/G.G1 - General Financial Markets/G.G1.G17 - Financial Forecasting and Simulation, 05 social sciences, arbitrage, Valuation of options, Risk Management (q-fin.RM), Replicating portfolio, Logic (math.LO), Mathematical economics, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, JEL: G - Financial Economics/G.G1 - General Financial Markets/G.G1.G12 - Asset Pricing • Trading Volume • Bond Interest Rates, Quantitative Finance - Risk Management, trends, replication, Financial economics, European option, Computational Finance (q-fin.CP), [QFIN.RM]Quantitative Finance [q-fin]/Risk Management [q-fin.RM], model-free control, FOS: Economics and business, 0502 economics and business, FOS: Mathematics, nonstandard analysis, Mathematical finance, Quantitative finance, Mathematics - Logic, [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH], Computer experiment, abrupt changes, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], nonstandard analysis.,Quantitative finance,option pricing,European option,dynamic hedging,replication,arbitrage,time series,trends,volatility,abrupt changes,model-free control,nonstandard analysis, [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], Pricing of Securities (q-fin.PR), Arbitrage, Volatility (finance), time series, Quantitative Finance - Pricing of Securities
Abstract: An elementary arbitrage principle and the existence of trends in financial time series, which is based on a theorem published in 1995 by P. Cartier and Y. Perrin, lead to a new understanding of option pricing and dynamic hedging. Intricate problems related to violent behaviors of the underlying, like the existence of jumps, become then quite straightforward by incorporating them into the trends. Several convincing computer experiments are reported., 1st International Conference on Systems and Computer Science, Villeneuve d'Ascq : France (2012)
Published: 2012

135. Fault diagnosis without a priori model

Author: Frédéric Hamelin, Abdouramane Moussa Ali, Cédric Join, Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), SIgnals and SYstems in PHysiology & Engineering (SISYPHE), Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, and Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Engineering, General Computer Science, free-model fault diagnosis, 010103 numerical & computational mathematics, 02 engineering and technology, 01 natural sciences, Fault detection and isolation, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, Control theory, Robustness (computer science), 0101 mathematics, Electrical and Electronic Engineering, Noise measurement, business.industry, Mechanical Engineering, Linear system, Fault indicator, Stuck-at fault, sensor fault, Control and Systems Engineering, actuator fault, Fault coverage, Fault model, business, Algorithm
Abstract: International audience; This article proposes an algebraic method to fault diagnosis for uncertain linear systems. The main advantage of this new approach is to realize fault diagnosis only from knowledge of input and output measurements without identifying explicitly model parameters. Using tools and results of algebraic identification and pseudospectra analysis, the issues of robustness of the pro- posed approach compared to the model order and noise measurement are examined. Numerical examples are provided and discussed to illustrate the efficiency of the proposed fault diagnosis method.
Published: 2012
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136. Revisiting some practical issues in the implementation of model-free control

Author: Samer Riachy, Michel Fliess, Cédric Join, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Électronique et Commande des Systèmes Laboratoire (ECS-Lab), Ecole Nationale Supérieure de l'Electronique et de ses Applications, and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Engineering, estimation, business.industry, Control (management), PID controller, Control engineering, 02 engineering and technology, Model free, Nonlinear control, Model-free control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Identification (information), 020901 industrial engineering & automation, Control theory, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Join (sigma algebra), identification, 020201 artificial intelligence & image processing, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], business, intelligent PID controllers
Abstract: International audience; This paper simplifies several aspects of the practical implementation of the newly introduced model-free control and of the corresponding "intelligent" PID controllers (M. Fliess, C. Join, "Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?," 15th IFAC Symp. System Identif, Saint-Malo, 2009. URL: http://hal.inria.fr/inria-00372325/en/). Four examples with their computer simulations permit to test our techniques.
Published: 2011

137. High-order sliding modes and intelligent PID controllers: First steps toward a practical comparison

Author: Michel Fliess, Samer Riachy, Cédric Join, Électronique et Commande des Systèmes Laboratoire (ECS-Lab), Ecole Nationale Supérieure de l'Electronique et de ses Applications, Non-Asymptotic estimation for online systems (NON-A), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Ecole Centrale de Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Engineering, business.industry, 020208 electrical & electronic engineering, online parameter estimation, PID controller, higher-order sliding mode control, Control engineering, 02 engineering and technology, Nonlinear control, intelligent PIDs, model-free control, Sliding mode control, [SPI.AUTO]Engineering Sciences [physics]/Automatic, 020901 industrial engineering & automation, Control theory, Robustness (computer science), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, nonlinear control, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], High order, business, Mimo systems
Abstract: Published in IFAC Proceedings Volumes, 44(1):10982-10987, January 2011; International audience; This communication is devoted to a "practical" comparison between high-order sliding modes and the recently introduced model-free control. The perfect knowledge of the relative degree of the output variable, which is a standard assumption for sliding modes, is assumed here. Our comparisons are based on two concrete case-studies and on numerous computer simulations. The smoothness of the input variables, the robustness with respect to noises and the straightforward extendibility of the model-free controllers to MIMO systems are highlighted.
Published: 2011
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138. A-t-on vraiment besoin d'un modèle probabiliste en ingénierie financière ?

Author: Michel Fliess, Cédric Join, Frédéric Hatt, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Non-Asymptotic estimation for online systems (NON-A), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), Lucid Capital Management, and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: trends, JEL: C - Mathematical and Quantitative Methods, Quantitative finance, [QFIN.PM]Quantitative Finance [q-fin]/Portfolio Management [q-fin.PM], [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], volatility, [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH], dynamic portfolio management, noise removal, nonstandard analysis, Quantitative finance,dynamic portfolio management,strategy,time series,trends,volatility,Kalman filters,noise removal,numerical differentiation,nonstandard analysis, [QFIN.CP]Quantitative Finance [q-fin]/Computational Finance [q-fin.CP], JEL: G - Financial Economics, [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, time series, numerical differentiation, strategy, Kalman filters, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, [STAT.ME]Statistics [stat]/Methodology [stat.ME]
Abstract: International audience; A new standpoint on financial time series, without the use of any mathematical model and of probabilistic tools, yields not only a rigorous approach of trends and volatility, but also efficient calculations which were already successfully applied in automatic control and in signal processing. It is based on a theorem due to P. Cartier and Y. Perrin, which was published in 1995. The above results are employed for sketching a dynamical portfolio and strategy management, without any global optimization technique. Numerous computer simulations are presented.
Published: 2011

139. Experimental comparison of classical pid and model-free control: position control of a shape memory alloy active spring

Author: Cédric Join, Emmanuel Delaleau, Jean-Matthieu Bourgeot, Pierre-Antoine Gédouin, Sylvain Calloch, Shabnam Arbab Chirani, Laboratoire brestois de mécanique et des systèmes (LBMS), École Nationale d'Ingénieurs de Brest (ENIB)-Université de Brest (UBO)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne), Laboratoire ISEN (L@BISEN), Institut supérieur de l'électronique et du numérique (ISEN)-YNCREA OUEST (YO), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, and Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Engineering, PID controller, 02 engineering and technology, Nonlinear control, Shape memory alloy, 020901 industrial engineering & automation, Control theory, Robustness (computer science), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Non-linear control, Electrical and Electronic Engineering, Nonphysical modeling, Artificial neural network, Derivative estimation, business.industry, Applied Mathematics, System identification, Control engineering, Shape-memory alloy, Model-free control, SMA, Computer Science Applications, Control and Systems Engineering, 020201 artificial intelligence & image processing, Actuator, business
Abstract: WOS; International audience; Shape memory alloys (sma) are more and more integrated in engineering applications. These materials with their shape memory effect permit to simplify mechanisms and to reduce the size of actuators. sma parts can easily be activated by Joule effect but their modelling and consequently their control remains difficult, it is principally due to their hysteretic thermomechanical behaviour. Most of successful control strategy applied to sma actuator are not often suitable for industrial applications: they are particularly heavy and use the Preisach model or neural networks to model the hysteretic behaviour of these material; this kind of models are difficult to identify and to use in real time. That is why this paper deals with an application of the new framework of model-free control (mfc) to a sma spring based actuator. This control strategy is based on new results on fast derivatives estimation of noisy sig- nals, its main advantages are: its simplicity and its robustness. Experimental results and comparisons with pi control are exposed that demonstrate the efficiency of this new control strategy. Key words: Nonlinear control, Model-free control, Shape memory alloy, Derivative estimation, Nonphysical modelling.
Published: 2011
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140. A robust algebraic approach to fault diagnosis of uncertain linear systems

Author: Frédéric Hamelin, Abdouramane Moussa Ali, Cédric Join, Moussa Ali, Abdouramane, SIgnals and SYstems in PHysiology & Engineering (SISYPHE), Inria Paris-Rocquencourt, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, and Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Noise measurement, Model order, 010102 general mathematics, Linear system, fault diagnosis and identification, Model parameters, 010103 numerical & computational mathematics, 01 natural sciences, [SPI.AUTO]Engineering Sciences [physics]/Automatic, sensor fault, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Control theory, Robustness (computer science), actuator fault, uncertain linear systems, 0101 mathematics, Algebraic number, Actuator, Algebraic method, Mathematics
Abstract: International audience; This article proposes an algebraic method to fault diagnosis for uncertain linear systems. The main advantage of this new approach is to realize fault diagnosis only from knowledge of input and output measurements without identi- fying explicitly model parameters. Using tools and results of algebraic identification and pseudospectra analysis, the issues of robustness of the proposed approach compared to the model order and noise measurement are examined. Numerical examples are provided and discussed to illustrate the efficiency of the proposed fault diagnosis method.
Published: 2011

141. Diagnostic des systèmes dynamiques linéaires sans modèle explicite

Author: Cédric Join, Abdouramane Moussa Ali, Frédéric Hamelin, Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, and Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, défaut actionneur, défaut capteur, FDI, Spectra analysis, 010103 numerical & computational mathematics, 02 engineering and technology, 01 natural sciences, Distribution theory, Industrial and Manufacturing Engineering, Computer Science Applications, Théorie des distributions, [SPI.AUTO]Engineering Sciences [physics]/Automatic, sensor fault, 020901 industrial engineering & automation, Actuator fault, Control and Systems Engineering, 0101 mathematics, Electrical and Electronic Engineering, analyse spectrale
Abstract: International audience; We propose a diagnosis approach of sensor and actuator modeled as structured signals acting on a particular class of uncertain linear dynamical systems. The main advantage of this approach is that it is possible under certain assumptions, to detect, isolate and identify faults using only input and output measurements without having to identify model parameters. The method is based on the generation and analysis of analytical redundancy relations and exploits the fact that a structured signal satisfies a differential equation. The decision rule is based entirely on the temporal behaviour of the estimates of some fault characteristics. A numerical example is provided and discussed to illustrate the proposed approach.; Nous proposons une méthode de diagnostic des défauts actionneur et capteur modélisés au travers de signaux structurés sur une classe particulière de systèmes dynamiques linéaires incertains. Le principal atout de cette approche est qu'il est possible, sous certaines hypothèses, de détecter, localiser et identifier les défauts à l'aide des seules mesures de la commande et de la sortie sans avoir à identifier les paramètres du modèle. La méthode est fondée sur la génération et l'analyse de relations de redondance analytique et exploite le fait qu'un signal structuré satisfait une équation différentielle. La prise de décision est entièrement fondée sur l'évolution temporelle des estimations de certaines caractéristiques des défauts. Un exemple numérique est fourni et commenté afin d'illustrer l'approche proposée.
Published: 2011

142. Model-free control of dc/dc converters

Author: Ahmed Cheriti, Michel Fliess, Pierre Sicard, Cédric Join, Loic Michel, Département de Génie Electrique et Génie Informatique [UQTR] (GEGI), Université du Québec à Trois-Rivières (UQTR), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: Forward converter, 0209 industrial biotechnology, Engineering, Ćuk converter, 02 engineering and technology, model-free control, intelligent PI controllers, 020901 industrial engineering & automation, Control theory, Robustness (computer science), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Electronic engineering, numerical differentiation, Cuk converters, Buck converter, business.industry, 020208 electrical & electronic engineering, [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], dc/dc converters, Converters, Load regulation, Boost converter, buck converters, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Intelligent control, business
Abstract: International audience; A new "model-free" control methodology is applied for the first time to power converters, and in particular to a buck converter, and to a Cuk converter. We evaluate its performances regarding load and supply variations. Our approach, which utilizes "intelligent" PI controllers, does not require any converter identification while ensuring the stability and the robustness of the control synthesis. Simulation and experimental results show that, with a simple control structure, insensitivity to power supply fluctuations and to large load variations is ensured.
Published: 2010
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143. A mathematical explanation via 'intelligent' PID controllers of the strange ubiquity of PIDs

Author: Bruno Steux, Hugues Mounier, Cédric Join, Michel Fliess, and Brigitte d'Andréa-Novel
Subjects: 0209 industrial biotechnology, 020901 industrial engineering & automation, Computer science, Control theory, Robustness (computer science), 020208 electrical & electronic engineering, Mathematical explanation, 0202 electrical engineering, electronic engineering, information engineering, PID controller, ComputerApplications_COMPUTERSINOTHERSYSTEMS, 02 engineering and technology, Intelligent control
Abstract: The ubiquity of PID controllers in the industry has remained mysterious until now. We provide here a mathematical explanation of this strange phenomenon by comparing their sampling with the the one of “intelligent” PID controllers, which were recently introduced. Some computer simulations nevertheless confirm the superiority of the new intelligent feedback design.
Published: 2010
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144. Delta Hedging in Financial Engineering: Towards a Model-Free Approach

Author: Cédric Join, Michel Fliess, Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), and Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
Subjects: trends, 0209 industrial biotechnology, Financial engineering,delta hedging,dynamic hedging,trends,quick fluctuations,abrupt changes,jumps,tracking control,model-free control, Financial economics, [QFIN.PM]Quantitative Finance [q-fin]/Portfolio Management [q-fin.PM], 02 engineering and technology, Financial engineering, [QFIN.RM]Quantitative Finance [q-fin]/Risk Management [q-fin.RM], Mathematical proof, model-free control, [QFIN.CP]Quantitative Finance [q-fin]/Computational Finance [q-fin.CP], Financial management, FOS: Economics and business, 020901 industrial engineering & automation, Systems theory, Portfolio Management (q-fin.PM), Order (exchange), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Economics, FOS: Mathematics, Time series, dynamic hedging, Mathematics - Optimization and Control, Risk management, Quantitative Finance - Portfolio Management, business.industry, quick fluctuations, jumps, [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], tracking control, abrupt changes, Optimization and Control (math.OC), Replicating portfolio, Risk Management (q-fin.RM), 020201 artificial intelligence & image processing, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Pricing of Securities (q-fin.PR), business, Mathematical economics, delta hedging, Quantitative Finance - Pricing of Securities, Quantitative Finance - Risk Management
Abstract: Delta hedging, which plays a crucial r\^ole in modern financial engineering, is a tracking control design for a "risk-free" management. We utilize the existence of trends in financial time series (Fliess M., Join C.: A mathematical proof of the existence of trends in financial time series, Proc. Int. Conf. Systems Theory: Modelling, Analysis and Control, Fes, 2009. Online: http://hal.inria.fr/inria-00352834/en/) in order to propose a model-free setting for delta hedging. It avoids most of the shortcomings encountered with the now classic Black-Scholes-Merton framework. Several convincing computer simulations are presented. Some of them are dealing with abrupt changes, i.e., jumps., Comment: 18th Mediterranean Conference on Control and Automation, Marrakech : Morocco (2010)
Published: 2010

145. A Model-Free Approach to Delta Hedging

Author: Cédric Join and Michel Fliess
Subjects: Delta, Delta hedging,trends,quick fluctuations,abrupt changes,jumps,tracking control,model-free control, 0209 industrial biotechnology, Engineering, Operations research, Series (mathematics), business.industry, 05 social sciences, 02 engineering and technology, Model free, Mathematical proof, 020901 industrial engineering & automation, Order (exchange), 0502 economics and business, Join (sigma algebra), 050207 economics, business, Mathematical economics
Abstract: We utilize the existence of trends for financial time series (Fliess M., Join C.: A Mathematical Proof of the Existence of Trends in Financial Time Series, http://ssrn.com/abstract=1459662) in order to propose a model-free setting for delta hedging. It avoids most of the shortcomings encountered with the now classic Black-Scholes framework. Several convincing computer simulations are presented. Some of them are dealing with abrupt changes, i.e., jumps.
Published: 2010
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146. Towards New Technical Indicators for Trading Systems and Risk Management

Author: Michel Fliess, Cédric Join, Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), and Institut National de Recherche en Informatique et en Automatique (Inria)-Ecole Centrale de Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: trends, 0209 industrial biotechnology, Engineering, Quantitative Finance, Operations research, Trend line, Quantitative Finance,technical analysis,trading systems,risk management,trends,technical indicators,time series, 010103 numerical & computational mathematics, 02 engineering and technology, [QFIN.RM]Quantitative Finance [q-fin]/Risk Management [q-fin.RM], Mathematical proof, technical analysis, 01 natural sciences, risk management, [QFIN.CP]Quantitative Finance [q-fin]/Computational Finance [q-fin.CP], 020901 industrial engineering & automation, Systems theory, [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, Order (exchange), [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Econometrics, trading systems, 0101 mathematics, Risk management, Series (mathematics), business.industry, Mathematical finance, General Medicine, [STAT.TH]Statistics [stat]/Statistics Theory [stat.TH], technical indicators, Technical analysis, time series, business, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
Abstract: International audience; We derive two new technical indicators for trading systems and risk management. They stem from trends in time series, the existence of which has been recently mathematically demonstrated by the same authors (A mathematical proof of the existence of trends in financial time series, Proc. Int. Conf. Systems Theory: Modelling, Analysis and Control, Fes, 2009), and from higher order quantities which replace the familiar statistical tools. Recent fast estimation techniques of algebraic flavor are utilized. The first indicator tells us if the future price will be above or below the forecasted trendline. The second one predicts abrupt changes. Several promising numerical experiments are detailed and commented.
Published: 2009
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147. A new control strategy for shape memory alloys actuators

Author: Emmanuel Delaleau, Shabnam Arbab-Chirani, Jean-Matthieu Bourgeot, Cédric Join, Sylvain Calloch, Pierre-Antoine Gédouin, Join, Cédric, Laboratoire brestois de mécanique et des systèmes (LBMS), École Nationale d'Ingénieurs de Brest (ENIB)-Université de Brest (UBO)-École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, and Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, Engineering, Artificial neural network, business.industry, 020208 electrical & electronic engineering, Joule effect, PID controller, Control engineering, 02 engineering and technology, Shape-memory alloy, SMA, 020901 industrial engineering & automation, Control theory, Robustness (computer science), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Control (linguistics), business, Actuator, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering
Abstract: International audience; Shape memory alloys (SMA) are more and more integrated in engineering applications. These materials with their shape memory effect permit to simplify mechanism and to reduce the size of actuators. SMA parts can easily be activated by Joule effect but their modelling and consequently their control remains difficult, it is principally due to their hysteretic thermomechanical behaviour. Another difficulty is that the characteristics of the material are time-varying, especially during cyclic loadings. So, most of successful control strategy applied to SMA actuator are particularly heavy and used the Preisach model or neural networks to model the hysteretic behaviour of these material but this kind of models are difficult to identify and to use in real time. That is why this study deals with an application of the new framework of model-free control and restricted model control applied to a SMA spring based actuator. This control strategy is based on new results on fast derivative s estimation of noisy signals, its main advantages are: its simplicity, its robustness and the fact that it is easy to compute. Experimental results and comparisons with PID control are exposed that demonstrate the efficiency of this new control strategy despite thermal perturbations.
Published: 2009

148. Real-time estimation for switched linear systems

Author: Wilfrid Perruquetti, Michel Fliess, Cédric Join, Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Laboratoire d'informatique de l'École polytechnique [Palaiseau] (LIX), Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X), Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Systèmes Non Linéaires et à Retards (SyNeR), Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL), Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS), and École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Subjects: 0209 industrial biotechnology, 010102 general mathematics, Linear system, 02 engineering and technology, 01 natural sciences, 020901 industrial engineering & automation, Control theory, Time estimation, Hybrid system, Control system, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, Numerical differentiation, Observability, State (computer science), 0101 mathematics, Algebraic number, Linear systems, switching systems, hybrid systems, Mathematics
Abstract: International audience; We extend previous works on real-time estimation, via algebraic techniques, to the recovering of the switching signal and of the state for switching linear systems. We characterize also singular inputs for which the switched systems become undistinguishable. Several convincing numerical experiments are illustrating our techniques which are easily implementable.
Published: 2008

149. Robust curvature extrema detection based on new numerical derivation

Author: Salvatore Tabbone, Cédric Join, Centre de Recherche en Automatique de Nancy (CRAN), Université Henri Poincaré - Nancy 1 (UHP)-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation (ALIEN), Inria Lille - Nord Europe, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Centrale Lille-École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Querying Graphics through Analysis and Recognition (QGAR), INRIA Lorraine, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA), and Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Institut National Polytechnique de Lorraine (INPL)-Centre National de la Recherche Scientifique (CNRS)
Subjects: business.industry, ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION, 020206 networking & telecommunications, 02 engineering and technology, Nonlinear control, Curvature, Maxima and minima, Robustness (computer science), [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, 0202 electrical engineering, electronic engineering, information engineering, Curvature extrema, 020201 artificial intelligence & image processing, Computer vision, Artificial intelligence, Algebraic number, business, Algorithm, Image retrieval, Mathematics
Abstract: International audience; Extrema of curvature are useful key points for different image analysis tasks. Indeed, polygonal approximation or arc decomposition methods used often these points to initialize or to improve their algorithms. Several shape-based image retrieval methods focus also their descriptors on key points. This paper is focused on the detection of extrema of curvature points for a raster-to-vector-conversion framework. We propose an original adaptation of an approach used into nonlinear control for fault-diagnosis and fault-tolerant control based on algebraic derivation and which is robust to noise. The experimental results are promising and show the robustness of the approach when the contours are bathed into a high level speckled noise.
Published: 2008

150. An on-line change-point detection method

Author: Michel Fliess, Cédric Join, and Mamadou Mboup
Subjects: Signal processing, Polynomial, Singularity, Iterative method, Robustness (computer science), Mathematical analysis, Detector, Piecewise, Algorithm, Change detection, Mathematics
Abstract: We are presenting a change-point detection method based on a direct online estimation of the signalpsilas singularity points. Using a piecewise local polynomial representation of the signal, we cast the problem into a delay estimation. A change-point instant is characterized as a solution of a polynomial equation, the coefficients of which are composed by short time window iterated integrals of the noisy signal. The so designed change-point detector shows good robustness to various type of noises.
Published: 2008
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