研究离散T-S模糊控制系统基于模糊Lyapunov函数的稳定性分析及控制器设计问题.首先,构造出离散型模糊Lyapunov函数,模糊Lyapunov函数是系数与T-S模糊系统的模糊规则权重相对应的复合型Lyapunov函数.然后,得到了开环系统新的稳定性充分条件,与公共Lyapunov方法的结果相比,这一条件更为宽松.进而,基于一系列线性矩阵不等式设计出模糊控制器.最后,仿真实例说明了该方法的算法和本文条件的优越性. The stability analysis and controller design of discrete TS fuzzy control system based on fuzzy Lyapunov function are studied.Firstly, a discrete fuzzy Lyapunov function is constructed, which is a complex Lyapunov function corresponding to the fuzzy rule weight of TS fuzzy system Then, a sufficient condition for the stability of the open-loop system is obtained, which is more relaxed than that of the public Lyapunov method.Furthermore, a fuzzy controller is designed based on a series of linear matrix inequalities.Finally, The superiority of the algorithm and the conditions of this paper are given.