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

Yang Tian 1, 2 Thierry Floquet 2, 3 Wilfrid Perruquetti 2, 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 - UMR 9189
Abstract : In this note, an algebraic approach for state estimation of linear time invariant systems is developed. This approach is based on the following mathematical tools: Laplace transform, Leibniz formula and operational calculus. A generalized expression of the state variables in function of the integrals of the output and the input is obtained. The example of a DC motor system and simulation results are given to illustrate the performance of the proposed approach.
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Submitted on : Wednesday, April 30, 2008 - 2:24:52 PM
Last modification on : Friday, December 11, 2020 - 6:44:07 PM
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  • HAL Id : inria-00276607, version 1



Yang Tian, Thierry Floquet, Wilfrid Perruquetti. Fast state estimation in linear time-invariant systems: an algebraic approach. Med 08, Jun 2008, Ajaccio, France. ⟨inria-00276607⟩



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