关键词: H∞无穷控制, 离散模糊系统, 双线性矩阵不等式, 分片光滑Lyapunov函数

Abstract:

This paper presents an H∞ controller synthesis method for discrete time fuzzy dynamic systems based on a piecewise smooth Lyapunov function. The basic idea of the proposed approach is to construct controllers for the fuzzy dynamic systems in such a way that a piecewise smooth Lyapunov function can be used to establish the global stability with H∞ performance of the resulting closed loop fuzzy control systems. It is shown that the control laws can be obtained by solving a set of Bilinear Matrix Inequalities (BMIs). An example is given to illustrate the application of the proposed method.

Key words: H∞infinity control, discretetime fuzzy dynamic system, bilinear matrix inequality, piecewise smooth Lyapunov function