Stability Analysis of a Class of Discrete Switched Fuzzy Systems

This paper introduces a innovated representation model, namely, a discrete-time switched fuzzy system, which differs from existing ones. In this model, a system is a switched system whose subsystems are all discrete-time T-S fuzzy systems. Using switching technique, the single Lyapunov function method and multiple Lyapunov functions method, the state feedback controllers are built to ensure that the relevant closed-loop system is quadratically stable in this paper. Moreover, switching laws of the state-dependent form achieving system quadratic stability of the switched fuzzy system are given. The main conditions are given in form of convex combination and LMI, which are more solvable. The elaborated illustrative examples and the respective simulation experiments demonstrate the effectiveness of the proposed method.