State and parameter estimation for nonlinear systems: a Takagi-Sugeno approach

Souad Bezzaoucha (1) , Benoît Marx (1) , Didier Maquin (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

The main contribution of this paper is to propose a systematic approach to the observers design for nonlinear Takagi-Sugeno (T-S) time-varying systems. The proposed procedure is based on the sector nonlinearity approach using the convex polytopic transformation. It guarantees global convergence for joint state and parameter estimation error and is characterized by the exact rewriting of the original time-varying system into a T-S model.

Mots clés: linear matrix inequality; Time-varying nonlinear systems; Takagi-Sugeno models; sector nonlinearity approach; convex polytopic transformation; state and parameter observer; linear matrix inequality.

Domaines: Automatique / Robotique

Souad Bezzaoucha, Benoît Marx, Didier Maquin, José Ragot. State and parameter estimation for nonlinear systems: a Takagi-Sugeno approach. American Control Conference, ACC 2013, Jun 2013, Washington, United States. pp.CDROM. ⟨hal-00782929⟩