Title :
Nonquadratic stability analysis of Takagi-Sugeno models
Author :
Chadli, Mohammed ; Maquin, Didier ; Ragot, José
Author_Institution :
CNRS, Centre de Recherche en Autom. de Nancy, Vandoeuvre-les-Nancy, France
Abstract :
This paper deals with the stability analysis of Takagi-Sugeno models (T-S). Based on piecewise quadratic Lyapunov functions and the use of the so-called S-procedure, new asymptotic stability conditions for both continuous and discrete T-S models are presented. The stability conditions are formulated in linear matrix inequalities (LMIs). Examples are given to illustrate the advantage of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; linear matrix inequalities; piecewise polynomial techniques; LMIs; Lyapunov methods; S-procedure; Takagi-Sugeno models; asymptotic stability; linear matrix inequalities; piecewise quadratic Lyapunov functions; stability analysis; Asymptotic stability; Linear matrix inequalities; Lyapunov method; Nonlinear systems; Optimization methods; Stability analysis; Takagi-Sugeno model; Time varying systems; Uncertainty; Vectors;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184847
