State and parameter estimation for time-varying 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 contribution of this paper is to propose a systematic approach to the observer design for linear time-varying systems. It is based on the exact rewriting of the original time-varying system into a polytopic linear model (PLM). This transformation uses the sector nonlinearity approach based on the convex polytopic transformation. Then a joint state and parameter observer can be designed for the PLM and the estimation errors convergence are proved.

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

Domaines: Automatique

Souad Bezzaoucha, Benoît Marx, Didier Maquin, José Ragot. State and parameter estimation for time-varying systems: a Takagi-Sugeno approach. 5th Symposium on System Structure and Control, IFAC Joint Conference 2013 SSSC, TDS, FDA, Feb 2013, Grenoble, France. pp.CDROM, ⟨10.3182/20130204-3-FR-2033.00106⟩. ⟨hal-00752160⟩