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Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques

Michel Fliess 1 Hebertt Sira-Ramirez 2
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Centrale Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
2 CINVESTAV - Centro de Investigacion y de Estudios Avanzados del Instituto Politécnico Nacional
Abstract : Closed-loop parametric identification of continuous-time linear systems is achieved via new algebraic techniques, which are employing non-commutative ring theory, module theory, and operational calculus. The efficiency and robustness with respect to noises are demonstrated by three illustrative examples and their computer simulations. In two of them we compare our results with those given by standard adaptive methods.
Keywords : Continuous-time linear systems linear identifiability closed-loop parametric identification adaptive control noises noncommutative rings modules operational calculus
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Michel Fliess, Hebertt Sira-Ramirez. Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques. H. Garnier & L. Wang. Identification of Continuous-time Models from Sampled Data, Springer, pp.362-391, 2008, Advances in Industrial Control, ISBN-13:9781848001602. ⟨inria-00114958v3⟩

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