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

Yang Tian (1, 2) , Thierry Floquet (2, 3) , Wilfrid Perruquetti (3)

1 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
2 ALIEN - Algebra for Digital Identification and Estimation
3 SyNeR - Systèmes Non Linéaires et à Retards

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.

Domaines: Automatique

Yang Tian, Thierry Floquet, Wilfrid Perruquetti. Fast state estimation in linear time-varying systems: an algebraic approach. CDC, Dec 2008, Mexique, Mexico. ⟨inria-00320976⟩