On LMI conditions to design observers for Lipschitz nonlinear systems

Ali Zemouche (1) , Mohamed Boutayeb (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

This paper addresses the problem of observer design for Lipschitz nonlinear systems via LMI. The goal of this note is to clarify some recent results and to propose a new design methodology. This is based on the reformulation of the Lipschitz property using some mathematical tools. This reformulation is a relevant and useful Lipschitz condition, which leads to less restrictive LMI conditions. To show the superiority of this latter, two numerical examples are presented.

Mots clés: Observers design; Lipschitz systems; LMI approach

Domaines: Automatique

Ali Zemouche, Mohamed Boutayeb. On LMI conditions to design observers for Lipschitz nonlinear systems. Automatica, 2013, 49 (2), pp.585-591. ⟨10.1016/j.automatica.2012.11.029⟩. ⟨hal-00763380⟩