Improvements on non-quadratic stabilization of continuous-time Takagi-Sugeno descriptor models

Víctor Estrada Manzo (1) , Thierry-Marie Guerra (1) , Zsofia Lendek (2) , Miguel Bernal (3)

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

This paper presents a relaxed approach for stabilization and H ∞ disturbance rejection of continuous-time Takagi-Sugeno models in descriptor form. Based on Finsler's Lemma, the control law can be conveniently decoupled from a non-quadratic Lyapunov function. These developments include and outperform previous results on the same subject while preserving the advantage of being expressed as linear matrix inequalities. Two examples are presented to illustrate the improvements.

Mots clés: Lyapunov methods; Linear matrix inequalities; Stability analysis; Mathematical model; Fuzzy systems; Takagi-Sugeno model; Analytical models

Domaines: Automatique / Robotique

Víctor Estrada Manzo, Thierry-Marie Guerra, Zsofia Lendek, Miguel Bernal. Improvements on non-quadratic stabilization of continuous-time Takagi-Sugeno descriptor models. 2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Jul 2013, Hyderabad, India. pp.1-6, ⟨10.1109/FUZZ-IEEE.2013.6622426⟩. ⟨hal-03468350⟩