Fast state estimation in linear time-varying systems: an algebraic approach

Yang Tian 1, 2 Thierry Floquet 2, 3 Wilfrid Perruquetti 3
2 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
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this note, an algebraic approach for state estimation of linear time-varying (LTV) systems is introduced. This approach is based on the following mathematical tools: Laplace transform, Leibniz formula, operational calculus and distribution theory. A generalized expression of the state variables as a function of the integrals of the output and the input is obtained. The example of a DC motor system and some simulation results are given to illustrate the performance of the proposed approach.
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Submitted on : Thursday, September 11, 2008 - 7:08:03 PM
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Yang Tian, Thierry Floquet, Wilfrid Perruquetti. Fast state estimation in linear time-varying systems: an algebraic approach. CDC, Dec 2008, Mexique, Mexico. ⟨inria-00320976⟩

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