A sufficient criterion for stability of the Takagi-Sugeno fuzzy model

Author

Kiriakidis, Kiriakos ; Grivas, Apostolos ; Tzes, Anthony

Author_Institution

Dept. of Mech. Eng., Polytechnic Univ., Brooklyn, NY, USA

Volume

1

fYear

1996

fDate

8-11 Sep 1996

Firstpage

277

Abstract

The nonlinear Takagi-Sugeno fuzzy model with off-set terms is analyzed as a perturbed linear system. A sufficient criterion for robust stability of the linear system against nonlinear perturbations guarantees quadratic stability of the fuzzy model. The criterion accepts a convex program formulation of reduced computational cost compared to the common Lyapunov matrix approach. Parametric robust control techniques suggest synthesis tools for stabilization of the fuzzy system. Application examples on fuzzy models of nonlinear plants demonstrate the efficiency of the method

Keywords

fuzzy control; linear systems; nonlinear control systems; robust control; stability criteria; state feedback; convex program; linear system; nonlinear Takagi-Sugeno fuzzy model; nonlinear perturbations; perturbed linear system; quadratic stability; robust stability; sufficient criterion; synthesis tools; Eigenvalues and eigenfunctions; Fuzzy sets; Fuzzy systems; Linear systems; Robust stability; Robustness; Stability analysis; Stability criteria; Sufficient conditions; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on

Conference_Location

New Orleans, LA

Print_ISBN

0-7803-3645-3

Type

conf

DOI

10.1109/FUZZY.1996.551754

Filename

551754