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integral reconstructors

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Correcteurs proportionnels-intégraux généralisés
Michel Fliess, Richard Marquez, Emmanuel Delaleau, Hebertt Sira–Ramírez
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 7 / 2002

Published online by Cambridge University Press:

15 September 2002, pp. 23-41

Print publication:

2002
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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.