Non-fragile guaranteed cost control for a class of uncertain switched fuzzy systems

Abstract

This paper focuses on a non-fragile guaranteed cost control problem for a class of uncertain switched fuzzy systems. Firstly, a class of uncertain switched fuzzy systems is established and the parallel distributed compensation (PDC) technology is employed to describe non-fragile state feedback controllers which are assumed to have additive gain variations. Then, based on the single Lyapunov function method and an algorithm for feasible solutions of the convex combination, the argument system is asymptotically stable and the linear quadratic (LQ) performance index of state and input called a non-fragile guaranteed cost function is no more than a certain upper bound. A sufficient condition for the non-fragile guaranteed cost control problem is proposed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach.