A generalized multiple Lyapunov functions method based non-fragile guaranteed cost control for uncertain switched fuzzy systems

Abstract

This paper is concerned with a non-fragile guaranteed cost control problem for a class of uncertain switched fuzzy systems which are described by switched Takagi–Sugeno (T–S) fuzzy models. By employing the generalized multiple Lyapunov functions method, we present a sufficient condition to guarantee the closed-loop system asymptotically stable and possess an upper bound of the non-fragile guaranteed cost function. Meanwhile, a non-fragile state feedback control law and a switching law are designed. Moreover, an optimization problem, in which the minimal non-fragile guaranteed cost can be obtained, is solved. Finally, a simulation example is given to verify the feasibility and effectiveness of the proposed method.