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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 ; fliess@cmla.ens-cachan.fr.
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 ; marquez@lss.supelec.fr.delaleau@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 ; marquez@lss.supelec.fr.delaleau@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 ; hsira@mail.cinvestav.mx.
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Abstract

For constant linear systems we are introducing integralreconstructors and generalized proportional-integralcontrollers, which permit to bypass the derivative term in theclassic PID controllers and more generally the usual asymptoticobservers. Our approach, which is mainly of algebraic flavour, isbased on the module-theoretic framework for linear systems and onoperational calculus in Mikusiński's setting. Several examplesare discussed.

Keywords

PID controllersgeneralized proportional-integralcontrollersintegral reconstructorsmodulescalculuslocalization.

Information

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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