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Correcteurs proportionnels-intégrauxgénéralisés

Published online by Cambridge University Press:  15 September 2002

Michel Fliess ,
Richard Marquez ,
Emmanuel Delaleau  and
Hebertt Sira–Ramírez
Michel Fliess
Affiliation:
Centre de Mathématiques et leurs Applications, École Normale Supérieure de Cachan, 61 avenue du Président Wilson, 94235 Cachan, France ; [email protected].
Richard Marquez
Affiliation:
Laboratoire des Signaux et Systèmes, CNRS–Supélec–Université Paris-Sud, Plateau du Moulon, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France ; [email protected]@lss.supelec.fr.
Emmanuel Delaleau
Affiliation:
Laboratoire des Signaux et Systèmes, CNRS–Supélec–Université Paris-Sud, Plateau du Moulon, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France ; [email protected]@lss.supelec.fr.
Hebertt Sira–Ramírez
Affiliation:
Departamento Ingeniería Electrica, CINVESTAV-IPN, Av. IPN 2508, Col. San Pedro Zacatenco, A.P. 14740, México DF, Mexique ; [email protected].
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Abstract

For constant linear systems we are introducing integral reconstructors and generalized proportional-integral controllers, which permit to bypass the derivative term in the classic PID controllers and more generally the usual asymptotic observers. Our approach, which is mainly of algebraic flavour, is based on the module-theoretic framework for linear systems and on operational calculus in Mikusiński's setting. Several examples are discussed.

Keywords

PID controllersgeneralized proportional-integral controllersintegral reconstructorsmodulescalculuslocalization.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 7 , 2002 , pp. 23 - 41
Copyright
© EDP Sciences, SMAI, 2002

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