Title :
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
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;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.551754
