Fuzzy Simplex-Type Sliding-Mode Control

Abstract

In this paper, a novel fuzzy simplex sliding-mode controller is proposed for controlling a multivariable nonlinear system. Here, the fuzzy logic control (FLC) algorithm and simplex sliding-mode control (SSMC) theory are integrated to improve the system states response and to reduce system states chattering phenomenon of the controlled system for simplex control method. Hence, from this motivation yields the so-called fuzzy simplex sliding mode control (FSSMC) scheme. the fuzzy logic control algorithm and simplex sliding mode control algorithm is integrated to improve the system states response and chattering phenomenon. In this paper, at first, we introduce the principle of simplex method, and then develop the fuzzy controls based on the simplex method. Finally, a numerical example is proposed to illustrate the advantages of the proposed controllers, the simulation results demonstrate that the fuzzy simplex type sliding mode control scheme is a good solution to the chattering problem in the simplex sliding mode control.