Fuzzy sliding mode controller design using scalar sign function for a class of T-S fuzzy models

摘要

This article presents a new scheme of fuzzy sliding-mode control for a class of Takagi-Sugeno fuzzy models based on a parallel distributed compensator and using a scalar sign function method. First, a fuzzy model is constructed to represent the local dynamic behaviors of the given nonlinear system. A global controller is then constructed by combining all local state feedback controllers and a global supervisory sliding mode controller. The globally asymptotic stability of the closed-loop system is mathematically proved. Finally, the validity of the proposed design strategy is demonstrated through the simulation of an inverted pendulum on a cart.