Stability Analysis of T–S Fuzzy Control Systems Subject to Actuator Saturation

In this paper, a stability analysis method based on a type of staircase membership functions is proposed for fuzzy control systems with actuator saturation. The staircase membership functions are used to approximate the membership functions of the fuzzy models. Due to the discreteness and finiteness of the values of staircase membership functions, the fuzzy summation inequalities describing the stability of closed-loop system can be converted to a finite number of linear matrix inequalities. The proposed method has a low degree of conservativeness since the information of membership functions is introduced into the stability analysis. Simulation results are given to show the effectiveness of the proposed methods.