# Une méthode d'identification pour un système linéaire à retards

1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : We provide a class of methods for the identification of a linear system with delay of the shape $x^{(n)}(t) = \sum_{i=0}^{n-1}a_{i}x^{(i)}(t) + bu(t-h)$. They allow the simultaneous identification of the parameters and delay, the observation of $x$ and its derivatives, knowing only generic input $u$ and output $x$. They are robust to the noise. Used in continuous time, they may follow the evolution of slowly varying parameters and noise. The method may be generalized to systems with two or more delays, e.g. $x''(t)+ax(t-h_{1})=bu(t-h_{2})$.
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https://hal.inria.fr/inria-00128173
Contributor : François Ollivier <>
Submitted on : Wednesday, January 31, 2007 - 8:55:44 AM
Last modification on : Wednesday, December 23, 2020 - 10:24:03 PM
Long-term archiving on: : Wednesday, April 7, 2010 - 2:35:02 AM

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• HAL Id : inria-00128173, version 1

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François Ollivier, Saïd Moutaouakil, Brahim Sadik. Une méthode d'identification pour un système linéaire à retards. 2007. ⟨inria-00128173⟩

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