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2. Practical Output Regulation and Tracking for Linear ODE-hyperbolic PDE-ODE Systems

Author

Redaud, Jeanne, Bribiesca-Argomedo, Federico, Auriol, Jean, Niculescu, Silviu-Iulian, Editor-in-Chief, Atay, Fatihcan M., Advisory Editor, Bellen, Alfredo, Advisory Editor, Chen, Jie, Advisory Editor, Gu, Keqin, Advisory Editor, Krauskopf, Bernd, Advisory Editor, Michiels, Wim, Advisory Editor, Özbay, Hitay, Advisory Editor, Rasvan, Vladimir, Advisory Editor, Stepan, Gabor, Advisory Editor, Zerz, Eva, Advisory Editor, Zhong, Qing-Chang, Advisory Editor, Auriol, Jean, editor, Deutscher, Joachim, editor, Mazanti, Guilherme, editor, and Valmorbida, Giorgio, editor

Published
2022
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6. Battery State Estimation for a Single Particle Model with Electrolyte Dynamics

Author

Moura, Scott J, Bribiesca Argomedo, Federico, Klein, Reinhardt, Mirtabatabaei, Anahita, and Krstic, Miroslav

Subjects
Battery management systems, electrochemistry models, state estimation, PDE observer, single particle model with electrolyte
Abstract

This paper studies a state estimation scheme for a reduced electrochemical battery model, using voltage and current measurements. Real-time electrochemical state information enables high-fidelity monitoring and high-performance operation in advanced battery management systems, for applications such as consumer electronics, electrified vehicles, and grid energy storage. This paper derives a single particle model with electrolyte (SPMe) that achieves higher predictive accuracy than the single particle model (SPM). Next, we propose an estimation scheme and prove estimation error system stability, assuming the total amount of lithium in the cell is known. The state estimation scheme exploits dynamical properties such as marginal stability, local invertibility, and conservation of lithium. Simulations demonstrate the algorithm's performance and limitations.

Published
2015

9. Controller Implementation

Author

Bribiesca Argomedo, Federico, Witrant, Emmanuel, Prieur, Christophe, Başar, Tamer, Series editor, Bicchi, Antonio, Series editor, Krstic, Miroslav, Series editor, Bribiesca Argomedo, Federico, Witrant, Emmanuel, and Prieur, Christophe

Published
2014
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10. Introduction

Author

Bribiesca Argomedo, Federico, Witrant, Emmanuel, Prieur, Christophe, Başar, Tamer, Series editor, Bicchi, Antonio, Series editor, Krstic, Miroslav, Series editor, Bribiesca Argomedo, Federico, Witrant, Emmanuel, and Prieur, Christophe

Published
2014
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11. Infinite-Dimensional Control-Lyapunov Function

Author

Bribiesca Argomedo, Federico, Witrant, Emmanuel, Prieur, Christophe, Başar, Tamer, Series editor, Bicchi, Antonio, Series editor, Krstic, Miroslav, Series editor, Bribiesca Argomedo, Federico, Witrant, Emmanuel, and Prieur, Christophe

Published
2014
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14. Conclusion

Author

Bribiesca Argomedo, Federico, Witrant, Emmanuel, Prieur, Christophe, Başar, Tamer, Series editor, Bicchi, Antonio, Series editor, Krstic, Miroslav, Series editor, Bribiesca Argomedo, Federico, Witrant, Emmanuel, and Prieur, Christophe

Published
2014
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16. Permanent magnet linear actuator: causal and non-linear modelling

Author

LAUZIER, Kévin, Bribiesca Argomedo, Federico, Gauthier, Jean-Yves, Sesmat, Sylvie, Lin-Shi, Xuefang, Carvalho Lopes, Diogo, Air Liquide Advanced Technologies [Sassenage] (ALAT), Air Liquide [Siège Social], Ampère, Département Automatique pour l'Ingénierie des Systèmes (AIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), and Lin-Shi, Xuefang

Subjects
[PHYS]Physics [physics], ComputingMilieux_MISCELLANEOUS, [PHYS] Physics [physics]
Abstract

In order to better understand the causes of vibration in a two-actuator permanent-magnet compressor between 50 and 500 Hz, a precise model is necessary. Vibrations in this type of compressor are mostly due to asymmetries, while their harmonic content is dictated by non-linearities. In this paper, measured magnetic properties of magnet assemblies are used in a finite element model in order to obtain behaviour laws for each actuator. In order to obtain a causal model, force and current are represented as a function of the piston position and magnetic flux through the actuator. The model is validated using inductance measurements as well as force measurements at fixed rest position. This allows to model the actuators non-linear behaviour and to give an estimate of the vibration forces order of magnitude at different frequencies induced by the magnetic asymmetries. Causal behaviour laws generated by the proposed model can be easily integrated into a global compressor model to predict vibrations, power consumption or electrical harmonics. The global model could also be used to test vibration reduction algorithms.

Published
2021

17. Practical output regulation and tracking for linear ODE-hyperbolic PDE-ODE systems

Author

Redaud, Jeanne, Bribiesca-Argomedo, Federico, Auriol, Jean, Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Dynamical Interconnected Systems in COmplex Environments (DISCO), Inria Saclay - Ile de France, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Ampère, Département Automatique pour l'Ingénierie des Systèmes (AIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), and AURIOL, Jean

Subjects
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP]
Abstract

International audience; In this chapter, we consider the problem of practical output regulation and output tracking for a linear 2 × 2 hyperbolic Partial Differential Equation (PDE) system with actuation and load dynamics. Indeed, it is actuated via an Ordinary Differential Equation (ODE) at one boundary and the output to be controlled is the output of an ODE at the other boundary. The main focus is on load tracking. Here, we propose to extend existing results on approximate output regulation to a class of systems similar to that considered in [8] and to extend filtering techniques to a dynamically augmented system with finite-dimensional exosystems considering possible trajectory and disturbance inputs. Issues with respect to small delays in the state reconstruction and feedback loop are considered. Due to the nature of the disturbances, the state estimation and disturbance reconstruction problems are also considered. This scenario finds applications in many systems of engineering interest, such as drilling systems [3], pneumatic systems [17], or electric transmission lines [22].

Published
2021

18. Stabilization of an underactuated 1+2 linear hyperbolic system with a proper control

Author

Auriol, Jean, Bribiesca Argomedo, Federico, Bresch-Pietri, Delphine, Laboratoire des signaux et systèmes (L2S), CentraleSupélec-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Centre Automatique et Systèmes (CAS), MINES ParisTech - École nationale supérieure des mines de Paris, and Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)

Subjects
[INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [SPI.AUTO]Engineering Sciences [physics]/Automatic
Abstract

International audience; In this paper we consider the stabilization of an underactuated system of linear first-order hyperbolic Partial Differential Equations consisting of one rightward-convecting transport PDE and two leftward-convecting equations. The system is underactuated in the sense that only one of the leftward-convecting equations is actuated at the boundary. This is a fundamental difference compared to existing results in the literature, as it is usually assumed that (at least) one of the boundaries of the system is fully actuated. The proposed approach combines a backstepping transformation and successive state transformations which allow the reformulation of the original system as a neutral system with distributed state delays and distributed input delays. Assuming that the actuator dynamics are asymptotically stable, the stabilization of the system reduced to that of a simpler neutral system with only distributed state delays and a delayed control. Designing a predictor, it becomes possible to stabilize this simpler system. The proposed feedback law is then combined with a low pass-filter to guarantee the existence of delay-robustness margins for the closed-loop system.

Published
2020

20. Introduction

Author

Bribiesca Argomedo, Federico, primary, Witrant, Emmanuel, additional, and Prieur, Christophe, additional

Published
2013
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22. Conclusion

Author

Bribiesca Argomedo, Federico, primary, Witrant, Emmanuel, additional, and Prieur, Christophe, additional

Published
2013
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29. Contrôle de la symétrie du sillage d'un corps d'Ahmed à culot

Author

Mariette, Kévin, Bideaux, Eric, Bribiesca Argomedo, Federico, Eberard, Damien, Sesmat, Sylvie, Ampère, Département Méthodes pour l'Ingénierie des Systèmes (MIS), Ampère (AMPERE), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Centre National de la Recherche Scientifique (CNRS)-Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement (INRAE), ANR-15-CE22-0002,ACTIV_ROAD,Réduction active de la trainée aérodynamique. Contrôle des sillages : du véhicule de tourisme au grand routier(2015), Mariette, Kévin, and Réduction active de la trainée aérodynamique. Contrôle des sillages : du véhicule de tourisme au grand routier - - ACTIV_ROAD2015 - ANR-15-CE22-0002 - AAPG2015 - VALID

Subjects
[INFO.INFO-SY] Computer Science [cs]/Systems and Control [cs.SY], [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, ComputingMilieux_MISCELLANEOUS
Abstract

International audience

Published
2019

32. Contrôle et stabilité Entrée-Etat en dimension infinie du profil du facteur de sécurité dans un plasma Tokamak

Author

Bribiesca Argomedo, Federico, STAR, ABES, Grenoble Images Parole Signal Automatique (GIPSA-lab), Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Stendhal - Grenoble 3-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS), Université de Grenoble, and Christophe Prieur

Subjects
[SPI.OTHER]Engineering Sciences [physics]/Other, Linear Parameter-Varying models, Nuclear Fusion, Systèmes à paramètres distribués, Fusion Nucléaire, [SPI.OTHER] Engineering Sciences [physics]/Other, Non-linear systems, Discretisation, Distributed Parameter Systems, Systèmes non-linéaires, Simulation, Modèles Linéaires à Paramètres Variants, Discretization
Abstract

In this thesis, we are interested in the control of the safety factor profile or q-profile in a tokamak plasma. This physical quantity has been found to be related to several phenomena in the plasma, in particular magnetohydrodynamic (MHD) instabilities. Having an adequate safety factor profile is particularly important to achieve advanced tokamak operation, providing high confinement and MHD stability. To achieve this, we focus in controlling the gradient of the poloidal magnetic flux profile. The evolution of this variable is given by a diffusion equation with distributed time-varying coefficients. Based on Lyapunov techniques and the Input-to-State stability properties of the system we propose a robust control law that takes into account nonlinear constraints on the control action imposed by the physical actuators., Dans cette thèse, on s'intéresse au contrôle du profil de facteur de sécurité dans un plasma tokamak. Cette variable physique est liée à plusieurs phénomènes dans le plasma, en particulier des instabilités magnétohydrodynamiques (MHD). Un profil de facteur de sécurité adéquat est particulièrement important pour avoir des modes d'opération avancés dans le tokamak, avec haut confinement et stabilité MHD. Pour cela faire, on se focalise sur la commande du gradient du profil de flux magnétique poloidal dans le tokamak. L'évolution de cette variable est donnée par une équation de diffusion avec des coefficients distribuées et temps-variants. En utilisant des techniques de type Lyapunov et les propriétés de stabilité entrée-état du système on propose une loi de commande robuste qui prend en compte des contraintes non-linéaires dans l'action imposées par la physique des actionneurs.

Published
2012

37. BackMatter.

Author

Bribiesca Argomedo, Federico, Witrant, Emmanuel, and Prieur, Christophe

Published
2014

38. FrontMatter.

Author

Bribiesca Argomedo, Federico, Witrant, Emmanuel, and Prieur, Christophe

Published
2014

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