Robust stabilization of switched fuzzy systems with actuator dead zone

Abstract

This paper investigates the robust stabilization problem for a class of fuzzy Takagi–Sugeno (T–S) switched system with actuator dead-zone. By using parallel distributed compensation (PDC) design scheme, a robust fuzzy control law and a switching law is also constructed via using a single Lyapunov function method, respectively. The sufficient conditions of ensuring the switched fuzzy control system asymptotic stabilization are proposed and parameterized in terms of linear matrix inequalities (LMIs), which can be solved very efficiently using the convex optimization techniques. It is proved that proposed control scheme can guarantee that whole closed-loop system is asymptotically stable in the sense of the Lyapunov function. A numerical example is given to illustrate the effectiveness of the proposed control method.