Integral Sliding-mode Disturbance Observer-based Control for T-S Fuzzy Systems

This paper is concerned with stabilization for Takagi-Sugeno (T-S) fuzzy systems with the unmatched disturbance. In this paper, an integral fuzzy switching surface function (IFSSF) containing state-dependent input matrices is used. Based on this, the integral sliding mode control (ISMC) is devised to make sure that the reachability condition is achieved for a finite period of time and the DOB for estimating the disturbance is given. The design of the Lyapunov function utilizes the properties of the membership function with the assumption that its derivatives are bounded to introduce a zero matrix, which reduce the conservatism. Finally, the applicability of the proposed method is verified by a practical example and in simulation we verify that the assumption conditions of the premise is fulfilled.