T-S模糊随机系统的均方镇定  

Mean Square Stabilization of T-S Fuzzy Stochastic Systems

作　　者：胡良剑[1] 邵世煌[1] 吴让泉[1] 

机构地区：[1]东华大学应用数学系,上海200051

出　　处：《信息与控制》2004年第5期545-549,559,共6页Information and Control

基　　金：国家自然科学基金资助项目 ( 60 3 740 2 2 )

摘　　要：提出一类基于T S模糊模型的非线性随机系统均方镇定的线性矩阵不等式 (LMI)设计方法 .利用非线性随机系统的Lyapunov稳定性理论 ,导出闭环系统均方稳定的若干LMI条件 ,并分析了这些条件之间的关系 ,最后通过数值例子说明了它们的应用 .An LMI design method for mean square stabilization of a class of nonlinear stochastic systems based on the T-S fuzzy model is proposed. By means of Lyapunov stability theorems of nonlinear stochastic systems, some mean square exponential stability conditions are reduced to linear matrix inequality (LMI) problems. Relations among the stability conditions are discussed. The design procedures and performances are illustrated by numerical examples.

关 键 词：T-S模糊系统 非线性随机系统 均方稳定 线性矩阵不等式(LMI) 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]