Sliding mode control for uncertain T-S fuzzy systems with input saturation and known external disturbance

The problem of sliding mode control for uncertain time-delay systems with input saturation and known external disturbance is considered. Combining T-S fuzzy model and sliding mode control method, we first establish the T-S model for the system, then an integral switching function is chosen, and a special sliding mode controller is designed such that the state trajectories can be driven onto the specified sliding surface in a finite period of time. Using linear matrix inequality and Lyapunov stability theory, we give a sufficient condition to guarantee the asymptotic stability of the sliding motion. An example is provided to illustrate the effectiveness of the proposed method.