Une méthode didentification 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, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR8146 2 LIX - Laboratoire d-informatique de l-École polytechnique Palaiseau

Abstract : We provide a class of methods for the identification of a linear system with delay of the shape $x^{n}t = \sum {i=0}^{n-1}a {i}x^{i}t + but-h$. 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. $x-t+axt-h {1}=but-h {2}$.

Mots-clés : Systèmes à retards identification paramétrique observation delays systems parametric identification

Author: François Ollivier - Saïd Moutaouakil - Brahim Sadik -

Source: https://hal.archives-ouvertes.fr/