Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
---|---|---|
Page(s) | 151 - 168 | |
DOI | https://doi.org/10.1051/cocv:2003008 | |
Published online | 15 September 2003 |
An algebraic framework for linear identification
1
Centre de Mathématiques et leurs Applications,
École Normale Supérieure de Cachan,
61 avenue du Président Wilson,
94235 Cachan, France; fliess@cmla.ens-cachan.fr..
2
Laboratoire GAGE, École
Polytechnique, 91128 Palaiseau,
France; fliess@gage.polytechnique.fr.
3
Cinvestav-IPN, Avenida IPN No. 2508, Departamento de Ingeniería
Eléctrica, Sección de Mecatrónica, Colonia San Pedro Zacatenco, AP 14740,
07300 México, D.F., México;
hsira@mail.cinvestav.mx..
Received:
6
May
2002
Revised:
4
October
2002
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.
Mathematics Subject Classification: 93B30 / 93B35 / 93C05 / 93C73 / 93C95 / 12H05 / 13C05 / 44A40
Key words: Linear systems / identifiability / parametric identification / adaptive control / generalised proportional-integral controllers / module theory / differential algebra / operational calculus.
© EDP Sciences, SMAI, 2003
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