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An algebraic framework for linear identification

Published online by Cambridge University Press:  15 September 2003

Michel Fliess  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].. Laboratoire GAGE, École Polytechnique, 91128 Palaiseau, France; [email protected].
Hebertt Sira–Ramírez
Affiliation:
Cinvestav-IPN, Avenida IPN No. 2508, Departamento de Ingeniería Eléctrica, Sección de Mecatrónica, Colonia San Pedro Zacatenco, AP 14740, 07300 México, D.F., México; [email protected]..
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Abstract

A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.

Keywords

Linear systemsidentifiabilityparametric identificationadaptive controlgeneralised proportional-integral controllersmodule theorydifferential algebraoperational calculus.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 151 - 168
Copyright
© EDP Sciences, SMAI, 2003

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