Design of simplex-type adaptive fuzzy sliding-mode controller

In this paper, based on the adaptive control and the simplex sliding-mode control schemes, a novel simplex-type adaptive fuzzy sliding-mode control (STA-FSMC) is presented. An irregular simplex manifold is generated by rotating the original regular simplex one and then is used to infer the control action by fuzzy algorithm. Design procedures of the proposed STA-FSMC are explored in detail and the stabilization of multi-input systems by using adaptive fuzzy control based on simplex-type sliding-mode control philosophy is also examined thoroughly. The adaptive control laws modify the irregular simplex control vectors such that the magnitude of simplex control vectors and chattering phenomena are improved. The computer simulation demonstrates the feasibility and effectiveness of the proposed methodology.