Discrete-time Takagi-Sugeno descriptor models: observer design

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

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

The present paper deals with observer design for discrete-time nonlinear descriptor systems. Through Finsler’s Lemma, we cut the link between the observer gains and the Lyapunov function, which relaxes existing conditions and introduces an extra degree of freedom. In addition, the results are expressed as LMI constraints. The effectiveness of the two proposed approaches is illustrated via several examples.

Domaines: Automatique / Robotique

Víctor Estrada Manzo, Zsofia Lendek, Thierry-Marie Guerra. Discrete-time Takagi-Sugeno descriptor models: observer design. World Congress of the International Federation of Automatic Control, Aug 2014, Cape Town, South Africa. ⟨hal-03469164⟩