Observer analysis and synthesis for perturbed Lipschitz systems under noisy time-varying measurements

Lucien Etienne (1) , Laurentiu Hetel (2) , Denis Efimov (3)

1 IMT Lille Douai - Ecole nationale supérieure Mines-Télécom Lille Douai
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 VALSE - Finite-time control and estimation for distributed systems

In this paper the observer synthesis problem is studied for nonlinear Lipschitz systems with noisy time-varying sampling and bounded state perturbations. To establish criteria for robust convergence of the observer, we model the impact of sampling by a reset integrator operator. First, generic conditions for the input-to-state stability of a sampled-data system are presented. Second, it is shown how to derive a tractable numerical criterion for the synthesis of a sampled-data Luenberger observer. Then, new conditions for robustness analysis of a known observation gain are given.

Mots clés: Observer; Sampled-data systems; Aperiodic Sampling; Lipschitz Nonlinear systems; Robustness; LMI

Domaines: Automatique / Robotique

Lucien Etienne, Laurentiu Hetel, Denis Efimov. Observer analysis and synthesis for perturbed Lipschitz systems under noisy time-varying measurements. Automatica, 2019, 106, pp.406-410. ⟨10.1016/j.automatica.2019.04.003⟩. ⟨hal-02304891⟩