Adaptive Fuzzy Sliding-Mode Control Based on Generalized T-S Fuzzy Model

Abstract

In order to obtain the controlled object’s better tracking performance within the reference signals’ boundary region, an adaptive fuzzy sliding-mode controller is designed aiming at the uncertain second-order nonlinear system. After taking account of the control sensitivity’s requirement for the membership function, the controller capitalizes on the generalized membership function’s adaptability of the generalized T-S fuzzy model without the supervisory control and boundary control that may compensate the system’s modeling error. So, the generalized T-S fuzzy logic system can better approximate to the controlled object and effectively decrease the tracking error within the reference signals’ boundary region. Using Lyapunove’s stability theory, it is proved that the control system is stable. Simulation results show that the design of the controller is reasonable and available.