Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions and bilinear matrix inequalities

Abstract

This paper presents a controller design method for fuzzy dynamic systems based on techniques of piecewise smooth Lyapunov functions and bilinear matrix inequalities. The basic idea of the proposed approaches is to construct the controller for the fuzzy dynamic systems in such a way that a piecewise continuous Lyapunov function can be used to establish the global stability of the resulting closed loop fuzzy control systems. It is shown that the control law can be obtained by solving a set of Bilinear Matrix Inequalities (BMI). An example is given to illustrate the application of the proposed method.