Optimal Guaranteed Cost Control of a Class of Fuzzy Systems via Piecewise Fuzzy Lyapunov Function Approach

This paper deals with the optimal guaranteed cost control of a class of Takagi-Sugeno (T-S) fuzzy systems via the piecewise fuzzy Lyapunov function (PFLF) approach. The PFLF is proposed by utilizing the structure information of the rule premise. Based on this approach, an optimal guaranteed control law for stabilization of the closed-loop fuzzy systems is derived in the form of linear matrix inequality (LMI). It is shown that the controller designed by the PFLF approach has better performance than those of the common quadratic Lyapunov function (CQLF) and the piece- wise quadratic Lyapunov function (PQLF). A numerical example illustrates the efficiency of the PFLF approach.