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

Volume

3

fYear

2004

fDate

25-29 July 2004

Firstpage

1323

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2004. Proceedings. 2004 IEEE International Conference on

ISSN

1098-7584

Print_ISBN

0-7803-8353-2

Type

conf

DOI

10.1109/FUZZY.2004.1375360

Filename

1375360