Disturbance attenuation to T-S fuzzy model of Lurie system under actuator saturation

In this paper, the problem of disturbance attenuation to Lurie system with actuator saturation has been considered. The T-S fuzzy system is first built up to represent the nonlinear system by the nonlinear combination of linear subsystems. Then by the method of Zoned Discussion and Maximax Synthesis(ZDMS) to deal with the saturation term, we present a sufficient condition for the existence of the controller with actuator saturation that can realize disturbance attenuation to the nonlinear system by Lyapunov stability theory. After transformation, the condition is turned into LMI form which is easy to solve by the help of MATLAB. Finally, simulations show the effectiveness of the proposed method.