Discrete-time Takagi-Sugeno descriptor models: Controller design

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

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

Many physical systems are naturally represented by descriptor models. This paper is concerned with stabilization of discrete-time descriptor systems represented by Takagi-Sugeno fuzzy models. Two different approaches are presented based on non-quadratic Lyapunov functions. The results are expressed in terms of linear matrix inequalities. Numerical examples validate the proposed methods

Mots clés: "Lyapunov methods"; "Linear matrix inequalities"; "Conferences"; "Fuzzy systems"; "Numerical models"; "Stability analysis"; "Takagi-Sugeno model"

Domaines: Automatique / Robotique

Víctor Estrada Manzo, Thierry-Marie Guerra, Zsofia Lendek, Philippe Pudlo. Discrete-time Takagi-Sugeno descriptor models: Controller design. 2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Jul 2014, Beijing, France. ⟨10.1109/FUZZ-IEEE.2014.6891621⟩. ⟨hal-03469241⟩