中文摘要：

应用参数化线性矩阵不等式(PLMI)设计方法,推导了随机T-S模糊控制系统状态反馈H∞控制器存在的充分条件.利用非线性随机系统的Lyapunov稳定性理论,导出了PLMI成立的若干线性矩阵不等式(LMI)条件.最后通过数值例子说明了这种方法的有效性.

英文摘要：

By using parameterized linear matrix inequality(PLMI) techniques,this paper derives a set of sufficient conditions for existence of state feedback H∞ controller of stochastic T-S fuzzy control systems.By means of Lyapunov stability theorems of nonlinear stochastic systems,these PLMI characterizations are reduced to pure LMI programs.The advantages of the proposed methods are illustrated with numerical examples.