Title :
Stabilisation of Takagi-Sugeno models with maximum convergence rate
Author :
Chadli, Mohammed ; Maquin, Didier ; Ragot, José
Author_Institution :
Centre de Recherche en Autom. de Nancy, CNRS, Vandoeuvre-les-Nancy, France
Abstract :
This paper deals with the stabilization of Takagi-Sugeno (T-S) models using state feedback controllers. Relaxed sufficient exponential stability conditions are given for both continuous and discrete multiple models. The stability conditions of the closed loop multiple models are expressed in linear matrix inequalities (LMI) form. To optimize the degree of stability, a formulation in term of generalized eigenvalues problem (GEVP) is proposed.
Keywords :
asymptotic stability; continuous time systems; convergence; discrete time systems; eigenvalues and eigenfunctions; fuzzy control; linear matrix inequalities; state feedback; Takagi-Sugeno model; continuous multiple model; discrete multiple model; exponential stability; generalized eigenvalues problem; linear matrix inequalities; maximum convergence rate; state feedback control; Convergence; Eigenvalues and eigenfunctions; Linear matrix inequalities; Lyapunov method; Stability; State feedback; Sufficient conditions; Symmetric matrices; Takagi-Sugeno model; Zinc;
Conference_Titel :
Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on
Print_ISBN :
0-7803-8353-2
DOI :
10.1109/FUZZY.2004.1375360
