Correcteurs proportionnels-intégraux généralisés
ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 23-41.

Nous introduisons pour les systèmes linéaires constants les reconstructeurs intégraux et les correcteurs proportionnels-intégraux généralisés, qui permettent d'éviter le terme dérivé du PID classique et, plus généralement, les observateurs asymptotiques usuels. Notre approche, de nature essentiellement algébrique, fait appel à la théorie des modules et au calcul opérationnel de Mikusiński. Plusieurs exemples sont examinés.

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.

DOI : https://doi.org/10.1051/cocv:2002002
Classification : 13A99,  44A40,  93B25,  93B52
Mots clés : PID controllers, generalized proportional-integral controllers, integral reconstructors, modules, operational calculus, localization 
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     title = {Correcteurs proportionnels-int\'egraux g\'en\'eralis\'es},
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Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel; Sira-Ramírez, Hebertt. Correcteurs proportionnels-intégraux généralisés. ESAIM: Control, Optimisation and Calculus of Variations, Tome 7 (2002), pp. 23-41. doi : 10.1051/cocv:2002002. http://archive.numdam.org/articles/10.1051/cocv:2002002/

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