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.
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.
出处
《系统工程学报》
CSCD
北大核心
2010年第1期6-10,共5页
Journal of Systems Engineering
基金
国家自然科学基金资助项目(60974030)