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25 results on '"Fliess, Michel"'

2. A fundamental result on the invertibility of discrete time dynamics

Author

Fliess, Michel, Byrnes, Christopher I., editor, Amari, S.-I., editor, Anderson, B. D. O., editor, Åström, Karl Johan, editor, Aubin, Jean-Pierre, editor, Banks, H. T., editor, Baras, John S., editor, Bensoussan, A., editor, Burns, John, editor, Chen, Han-Fu, editor, Davis, M. H. A., editor, Fleming, Wendell, editor, Fliess, Michel, editor, Glover, Keith, editor, Hinrichsen, Diederich, editor, Isidori, Alberto, editor, Jakubczyk, B., editor, Kimura, Hidenori, editor, Krener, Arthur J., editor, Kunita, H., editor, Kurzhansky, Alexandre, editor, Kushner, Harold J., editor, Lindquist, Anders, editor, Manitius, Andrzej, editor, Martin, Clyde F., editor, Mitter, Sanjoy, editor, Picci, Giorgio, editor, Pshenichnyj, Boris, editor, Sussmann, H. J., editor, Tarn, T. J., editor, Tikhomirov, V. M., editor, Varaiya, Pravin P., editor, Willems, Jan C., editor, Wonham, W. M., editor, Bonnard, Bernard, editor, Bride, Bernard, editor, Gauthier, Jean-Paul, editor, and Kupka, Ivan, editor

Published
1991
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4. Questioning the Classic State-Space Description Via Circuit Examples

Author

Fliess, Michel, Hasler, Martin, Byrnes, Christopher I., editor, Amari, S.-I, editor, Anderson, B. D. O., editor, Äström, Karl J., editor, Aubin, Jean-Pierre, editor, Banks, H. T., editor, Baras, John S., editor, Bensoussan, A., editor, Burns, John, editor, Chen, Han-Fu, editor, Davis, M. H. A., editor, Fleming, Wendell, editor, Fliess, Michel, editor, Glover, Keith, editor, Hinrichsen, D., editor, Isidori, Alberto, editor, Jakubczyk, B., editor, Kimura, Hidenori, editor, Krener, Arthur, editor, Kunita, H., editor, Kurzhansky, Alexandre, editor, Kushner, Harold M., editor, Lindquist, Anders, editor, Manitius, Andrzej, editor, Martin, Clyde F., editor, Mitter, Sanjoy, editor, Picci, Giorgio, editor, Pshenichnyj, Boris, editor, Sussmann, H. J., editor, Tarn, T. J., editor, Tikhomirov, V. M., editor, Varaiya, Pravin P., editor, Willems, Jan C., editor, Wonham, W. M., editor, Kaashoek, M. A., editor, van Schuppen, J. H., editor, and Ran, A. C. M., editor

Published
1990
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12. Questioning the signal to noise ratioin digital communications

Author

Fliess, Michel, 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), and Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)

Subjects
Information theory, carriers, noncommutative algebra, calcul opérationnel, symboles, Théorie de l’information, symbols, differential algebra, analyse non standard, [INFO]Computer Science [cs], [MATH]Mathematics [math], signal processing, démodulation, nonstandard analysis, algèbre non commutative, algèbre différentielle, digital communications, porteuses, estimation, bruits, signal to noise ratio, rapport signal à bruit, traitement du signal, communications numériques, operational calculus, demodulation, modulation, noises
Abstract

International audience; The signal to noise ratio, which plays such an important rôle in information theory, is shown to become pointless for digital communications where the demodulation is achieved via new fast estimation techniques. Operational calculus, differential algebra, noncommutative algebra and nonstandard analysis are the main mathematical tools.; On démontre que le rapport signal à bruit, si important en théorie de l’information, devient sans objet pour des communications numériques où la démodulation s’effectue selon des techniques nouvelles d’estimation rapide. Calcul opérationnel, algèbre différentielle, algèbre non commutative et analyse non standard sont les principaux outils mathématiques.

Published
2008

13. Commande sans modèle et commande à modèle restreint

Author

Fliess, Michel, Join, Cédric, 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
large-scale systems, differential algebra, diagnosis, [MATH.MATH-AC]Mathematics [math]/Commutative Algebra [math.AC], [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], control with a restricted model, [PHYS.MECA.GEME]Physics [physics]/Mechanics [physics]/Mechanical engineering [physics.class-ph], Linear systems, PID controllers, non-minimum phase systems, robustness, anti-windup, model-free control, [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, universal control, [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], numerical differentiators, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], nonlinear systems, delay systems, predictive control, frictions
Abstract

International audience; 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 easy, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiator. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments.

Published
2008

14. Critique du rapport signal à bruit en théorie de l'information ––– A critical appraisal of the signal to noise ratio in information theory

Author

Fliess, Michel, 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
Signal to noise ratio, digital communications, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], [MATH.MATH-IT]Mathematics [math]/Information Theory [math.IT], operational calculus, nonstandard analysis, ACM: H.: Information Systems/H.1: MODELS AND PRINCIPLES/H.1.1: Systems and Information Theory, [MATH.MATH-PR]Mathematics [math]/Probability [math.PR], [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing, [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph], [INFO.INFO-IT]Computer Science [cs]/Information Theory [cs.IT], differential algebra, [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing, information theory
Abstract

See http://hal.inria.fr/inria-00311719/en/ for an updated version

Published
2007

15. Vers une commande multivariable sans modèle

Author

Fliess, Michel, Join, Cédric, Mboup, Mamadou, Sira-Ramirez, Hebertt, 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), Université Paris Descartes - UFR de Mathématiques et Informatique (UPD5 Mathématiques Informatique), Université Paris Descartes - Paris 5 (UPD5), Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Algebra for Digital Identification and Estimation ( ALIEN ), 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 ), 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 ), Université Paris Descartes - UFR de Mathématiques et Informatique ( UPD5 Mathématiques Informatique ), Université Paris Descartes - Paris 5 ( UPD5 ), Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional ( CINVESTAV ), 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
[ SPI.MECA.GEME ] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], [ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC], estimation, [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], Black box identification, [PHYS.MECA.GEME]Physics [physics]/Mechanics [physics]/Mechanical engineering [physics.class-ph], Physics - Classical Physics, [INFO.INFO-RO]Computer Science [cs]/Operations Research [cs.RO], [SPI.MECA.GEME]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanical engineering [physics.class-ph], Computer Science - Robotics, [ PHYS.MECA.GEME ] Physics [physics]/Mechanics [physics]/Mechanical engineering [physics.class-ph], differential algebra, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], [ INFO.INFO-CE ] Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], Computer Science - Computational Engineering, Finance, and Science, Mathematics - Optimization and Control, [ INFO.INFO-RO ] Computer Science [cs]/Operations Research [cs.RO]
Abstract

A control strategy without any precise mathematical model is derived for linear or nonlinear systems which are assumed to be finite-dimensional. Two convincing numerical simulations are provided.

Published
2006

16. Closed-loop fault-tolerant control for uncertain nonlinear systems

Author

Fliess, Michel, Join, Cédric, Sira-Ramirez, Hebertt, 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), Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV), T. Meurer, K. Graichen, and E.D. Gilles

Subjects
algebraic estimation techniques, three-tank system, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, differential algebra, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], fault-tolerant control, [NLIN.NLIN-AO]Nonlinear Sciences [physics]/Adaptation and Self-Organizing Systems [nlin.AO], Fault diagnosis, uncertain nonlinear systems, derivatives of a noisy time signal
Abstract

We are designing, perhaps for the first time, closed-loop fault-tolerant control for uncertain nonlinear systems. Our solution is based on a new algebraic estimation technique of the derivatives of a time signal, which • yields good estimates of the unknown parameters and of the residuals, i.e., of the fault indicators, • is easily implementable in real time, • is robust with respect to a large variety of noises, without any necessity of knowing their statistical properties. Convincing numerical simulations are provided via a popular case-study in the diagnosis community, namely the three-tank system, which may be characterized as a flat hybrid system.

Published
2005

17. Questioning some paradigms of signal processing via concrete examples

Author

Fliess, Michel, Mboup, Mamadou, Mounier, Hugues, Sira-Ramirez, Hebertt, 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), Université Paris Descartes - UFR de Mathématiques et Informatique (UPD5 Mathématiques Informatique), Université Paris Descartes - Paris 5 (UPD5), Institut d'électronique fondamentale (IEF), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional (CINVESTAV), H. Sira-Ramirez, G. Silva-Navarro, 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 ), Algebra for Digital Identification and Estimation ( ALIEN ), 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 ), Université Paris Descartes - UFR de Mathématiques et Informatique ( UPD5 Mathématiques Informatique ), Université Paris Descartes - Paris 5 ( UPD5 ), Institut d'électronique fondamentale ( IEF ), Université Paris-Sud - Paris 11 ( UP11 ) -Centre National de la Recherche Scientifique ( CNRS ), Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional ( CINVESTAV ), 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
[ INFO.INFO-IR ] Computer Science [cs]/Information Retrieval [cs.IR], [ MATH.MATH-CA ] Mathematics [math]/Classical Analysis and ODEs [math.CA], ACM: H.: Information Systems/H.3: INFORMATION STORAGE AND RETRIEVAL, [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], noncommutative algebra, ACM: H.: Information Systems/H.4: INFORMATION SYSTEMS APPLICATIONS, [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA], Differential algebra, [ MATH.MATH-OA ] Mathematics [math]/Operator Algebras [math.OA], signal processing, [ PHYS.MECA.ACOU ] Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], ACM : H.: Information Systems/H.3: INFORMATION STORAGE AND RETRIEVAL, [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA], [INFO.INFO-CE]Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE], structured perturbations, chirps, ACM : H.: Information Systems/H.4: INFORMATION SYSTEMS APPLICATIONS, operational calculus, identifiability, demodulation, [ MATH.MATH-RA ] Mathematics [math]/Rings and Algebras [math.RA], [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph], detection of abrupt changes, [INFO.INFO-IR]Computer Science [cs]/Information Retrieval [cs.IR], [ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph], [ INFO.INFO-CE ] Computer Science [cs]/Computational Engineering, Finance, and Science [cs.CE]
Abstract

This paper was presented in November 2003 in Mexico City. It gives an overview of recent on-line and non-asymptotic estimation techniques in signal processing, which do not necessitate any precise statistical knowledge of the noises. Several concrete examples with their computer simulations are discussed.

Published
2003

18. Model-free control.

Author

Fliess, Michel and Join, Cédric

Subjects
*PID controllers, *MATHEMATICAL models, *DIFFERENTIAL algebra, *FUNCTIONAL analysis, *FRICTION, *INFINITY (Mathematics), *INTELLIGENT control systems
Abstract

‘Model-free control’and the corresponding ‘intelligent’ PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into account. The basics of model-free control is now employing some old functional analysis and some elementary differential algebra. The estimation techniques become quite straightforward via a recent online parameter identification approach. The importance of iPIs and especially of iPs is deduced from the presence of friction. The strange industrial ubiquity of classic PIDs and the great difficulty for tuning them in complex situations is deduced, via an elementary sampling, from their connections with iPIDs. Several numerical simulations are presented which include some infinite-dimensional systems. They demonstrate not only the power of our intelligent controllers but also the great simplicity for tuning them. [ABSTRACT FROM AUTHOR]

Published
2013
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19. Nonlinear regulators and Ritt’s remainder algorithm

Author

Glad, S. T., Byrnes, Christopher I., editor, Amari, S.-I., editor, Anderson, B. D. O., editor, Åström, Karl Johan, editor, Aubin, Jean-Pierre, editor, Banks, H. T., editor, Baras, John S., editor, Bensoussan, A., editor, Burns, John, editor, Chen, Han-Fu, editor, Davis, M. H. A., editor, Fleming, Wendell, editor, Fliess, Michel, editor, Glover, Keith, editor, Hinrichsen, Diederich, editor, Isidori, Alberto, editor, Jakubczyk, B., editor, Kimura, Hidenori, editor, Krener, Arthur J., editor, Kunita, H., editor, Kurzhansky, Alexandre, editor, Kushner, Harold J., editor, Lindquist, Anders, editor, Manitius, Andrzej, editor, Martin, Clyde F., editor, Mitter, Sanjoy, editor, Picci, Giorgio, editor, Pshenichnyj, Boris, editor, Sussmann, H. J., editor, Tarn, T. J., editor, Tikhomirov, V. M., editor, Varaiya, Pravin P., editor, Willems, Jan C., editor, Wonham, W. M., editor, Bonnard, Bernard, editor, Bride, Bernard, editor, Gauthier, Jean-Paul, editor, and Kupka, Ivan, editor

Published
1991
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20. Partial Differential Control Theory and Causality

Author

Pommaret, J. F., Byrnes, Christopher I., editor, Amari, S.-I., editor, Anderson, B. D. O., editor, Åström, Karl Johan, editor, Aubin, Jean-Pierre, editor, Banks, H. T., editor, Baras, John S., editor, Bensoussan, A., editor, Burns, John, editor, Chen, Han-Fu, editor, Davis, M. H. A., editor, Fleming, Wendell, editor, Fliess, Michel, editor, Glover, Keith, editor, Hinrichsen, Diederich, editor, Isidori, Alberto, editor, Jakubczyk, B., editor, Kimura, Hidenori, editor, Krener, Arthur J., editor, Kunita, H., editor, Kurzhansky, Alexandre, editor, Kushner, Harold J., editor, Lindquist, Anders, editor, Manitius, Andrzej, editor, Martin, Clyde F., editor, Mitter, Sanjoy, editor, Picci, Giorgio, editor, Pshenichnyj, Boris, editor, Sussmann, H. J., editor, Tarn, T. J., editor, Tikhomirov, V. M., editor, Varaiya, Pravin P., editor, Willems, Jan C., editor, Wonham, W. M., editor, Conte, G., Perdon, A. M., and Wyman, B.

Published
1991
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21. Differential Algebraic Modelling of Nonlinear Systems

Author

Glad, S. T., Byrnes, Christopher I., editor, Amari, S.-I, editor, Anderson, B. D. O., editor, Äström, Karl J., editor, Aubin, Jean-Pierre, editor, Banks, H. T., editor, Baras, John S., editor, Bensoussan, A., editor, Burns, John, editor, Chen, Han-Fu, editor, Davis, M. H. A., editor, Fleming, Wendell, editor, Fliess, Michel, editor, Glover, Keith, editor, Hinrichsen, D., editor, Isidori, Alberto, editor, Jakubczyk, B., editor, Kimura, Hidenori, editor, Krener, Arthur, editor, Kunita, H., editor, Kurzhansky, Alexandre, editor, Kushner, Harold M., editor, Lindquist, Anders, editor, Manitius, Andrzej, editor, Martin, Clyde F., editor, Mitter, Sanjoy, editor, Picci, Giorgio, editor, Pshenichnyj, Boris, editor, Sussmann, H. J., editor, Tarn, T. J., editor, Tikhomirov, V. M., editor, Varaiya, Pravin P., editor, Willems, Jan C., editor, Wonham, W. M., editor, Kaashoek, M. A., editor, van Schuppen, J. H., editor, and Ran, A. C. M., editor

Published
1990
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