Title :
Non quadratic stability of nonlinear systems in the Takagi-Sugeno form
Author :
Blanco, Y. ; Perruquetti, W. ; Borne, P.
Author_Institution :
LAIL, UPRESA, Ecole Centrale de Lille, Villeneuve-d´Ascq, France
Abstract :
This paper presents new stability conditions for continuous-time Takagi-Sugeno (T-S) models and, by extension, a wide class of nonlinear systems. The stability conditions are derived by using a non quadratic Liapunov function. The results are presented in a Linear Matrix Inequality (LMI) formulation. An extension to the case of stabilization with different types of controllers is also proposed here.
Keywords :
Lyapunov methods; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; LMI formulation; T-S model; Takagi-Sugeno form; continuous-time Takagi-Sugeno model; linear matrix inequality; nonlinear system; nonquadratic Lyapunov function; nonquadratic stability; stability condition; Asymptotic stability; Biological system modeling; Nonlinear systems; Stability criteria; Symmetric matrices; Takagi-Sugeno model; Nonlinear Systems; Stability; Stabilization; Takagi-Sugeno Model;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
