Switching Fuzzy Model Construction and Controller Design with Arbitrary Switching Planes

Abstract

This paper presents switching fuzzy model construction with arbitrary switching planes and derive controller design conditions based on the switching Lyapunov function. In our previous papers, we proposed the switching fuzzy model with switching planes corresponding to quadrants. However, a switching fuzzy model differs with respect to switching planes. It is obvious that the model construction affects the stability analysis results. In this paper, we propose switching fuzzy model construction with arbitrary switching planes and derive controller design conditions based on the switching Lyapunov function in terms of LMIs.