Correcteurs proportionnels-intégraux généralisés

Michel Fliess; Richard Marquez; Emmanuel Delaleau; Hebertt Sira–Ramírez

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 7, page 23-41
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Fliess, Michel, et al. "Correcteurs proportionnels-intégraux généralisés." ESAIM: Control, Optimisation and Calculus of Variations 7 (2010): 23-41. <http://eudml.org/doc/90621>.

@article{Fliess2010,
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. },
author = {Fliess, Michel, Marquez, Richard, Delaleau, Emmanuel, Sira–Ramírez, Hebertt},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {PID controllers; generalized proportional-integral controllers; integral reconstructors; modules; calculus; localization.; generalized proportional-integral controllers; operational calculus; localization},
language = {fre},
month = {3},
pages = {23-41},
publisher = {EDP Sciences},
title = {Correcteurs proportionnels-intégraux généralisés},
url = {http://eudml.org/doc/90621},
volume = {7},
year = {2010},
}

TY - JOUR
AU - Fliess, Michel
AU - Marquez, Richard
AU - Delaleau, Emmanuel
AU - Sira–Ramírez, Hebertt
TI - Correcteurs proportionnels-intégraux généralisés
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 7
SP - 23
EP - 41
AB - 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.
LA - fre
KW - PID controllers; generalized proportional-integral controllers; integral reconstructors; modules; calculus; localization.; generalized proportional-integral controllers; operational calculus; localization
UR - http://eudml.org/doc/90621
ER -

References

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