Parameters estimation of systems with delayed and structured entries

Authors:
Lotfi Belkoura;Jean-Pierre Richard;Michel Fliess
Affiliations:
LAGIS (CNRS, UMR 8146) & Alien Project (INRIA Lille-Nord Europe), Universitéé des Sciences et Technologies de Lille, France;LAGIS (CNRS, UMR 8146) & Alien Project (INRIA Lille-Nord Europe), íícole Centrale de Lille, France;LIX (CNRS, UMR 7161) & Alien Project (INRIA Saclay Ile de France), íícole Polytechnique, France
Venue:
Automatica (Journal of IFAC)
Year:
2009

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Abstract

This paper deals with on-line identification of continuous-time systems with structured entries. Such entries, which may consist of inputs, perturbations or piecewise polynomial (time varying) parameters, can be defined as signals that can be easily annihilated. The proposed cancellation method allows to obtain non asymptotic estimators for the unknown coefficients. Application to delayed and switching hybrid systems are proposed. Numerical simulations with noisy data but also experimental results on a delay process are provided.