Fixed-time observer with simple gains for uncertain systems

Tomas Menard 1 Emmanuel Moulay 2 Wilfrid Perruquetti 3, 4, 5
1 Equipe Automatique - Laboratoire GREYC - UMR6072
GREYC - Groupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen
5 NON-A - Non-Asymptotic estimation for online systems
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189, Inria Lille - Nord Europe
Abstract : 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.
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Tomas Menard, Emmanuel Moulay, Wilfrid Perruquetti. Fixed-time observer with simple gains for uncertain systems. Automatica, Elsevier, 2017, 81, pp.438 - 446. ⟨10.1016/j.automatica.2017.04.009⟩. ⟨hal-01516988⟩

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