Fixed-time observer with simple gains for uncertain systems

Tomas Menard (1) , Emmanuel Moulay (2) , Wilfrid Perruquetti (3, 4, 5)

1 LAC - Laboratoire d'automatique de Caen
2 XLIM-SRI - Systèmes et Réseaux Intelligents
3 Centrale Lille
4 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
5 NON-A - Non-Asymptotic estimation for online systems

In this article, we consider the problem of xed-time observer for nonlinear systems, that is a nite-time observer whose settling time can be bounded independently of the initial condition. We consider a large class of nonlinear systems which includes two main classes: linearizable systems up to input-output injection and uniformly observable systems. Furthermore, the eect of noise and uncertainty is analyzed.

Mots clés: High-gain observer; Finite-time stability

Domaines: Automatique / Robotique

Tomas Menard, Emmanuel Moulay, Wilfrid Perruquetti. Fixed-time observer with simple gains for uncertain systems. Automatica, 2017, 81, pp.438 - 446. ⟨10.1016/j.automatica.2017.04.009⟩. ⟨hal-01516988⟩