Observer design for Takagi-Sugeno descriptor models: an LMI approach

Víctor Estrada Manzo (1) , Thierry-Marie Guerra (1) , Zsofia Lendek (2)

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201
2 Technical University of Cluj-Napoca

This paper considers observer design for nonlinear descriptor systems. We propose approaches based on Takagi-Sugeno (TS) models. An extended estimation vector is used in order to keep the descriptor structure of the observer. The design conditions for this new type of observers are expressed as LMI constraints. The proposed observer structure, via an intermediate variable as estimated variable, is able to recover the previous observer results for TS descriptors. Moreover, through a direct extension via the so-called Finsler’s Lemma, relaxed conditions are obtained. Numerical examples show the effectiveness of the proposed approaches

Mots clés: "Linear matrix inequalities"; "Takagi-Sugeno models"; "nonlinear observer design"; "Finsler’s Lemma"

Domaines: Automatique / Robotique

Víctor Estrada Manzo, Thierry-Marie Guerra, Zsofia Lendek. Observer design for Takagi-Sugeno descriptor models: an LMI approach. Automatica, 2015, 52, pp.154-159. ⟨10.1016/j.automatica.2014.11.008⟩. ⟨hal-03428793⟩