A sufficient criterion for stability of the Takagi-Sugeno fuzzy model
Kiriakos Kiriakidis, Apostolos Grivas, Anthony P. Tzes · Proceedings of IEEE 5th International Fuzzy Systems · 2002
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.