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T-S模糊随机系统的均方镇定
引用本文:胡良剑,邵世煌,吴让泉.T-S模糊随机系统的均方镇定[J].信息与控制,2004,33(5):545-549,559.
作者姓名:胡良剑  邵世煌  吴让泉
作者单位:东华大学应用数学系,上海,200051
基金项目: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.

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)
文章编号:1002-0411(2004)05-0545-05

Mean Square Stabilization of T-S Fuzzy Stochastic Systems
HU Liang-jian,SHAO Shi-huang,WU Rang-quan.Mean Square Stabilization of T-S Fuzzy Stochastic Systems[J].Information and Control,2004,33(5):545-549,559.
Authors:HU Liang-jian  SHAO Shi-huang  WU Rang-quan
Abstract: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.
Keywords:T-S fuzzy system  nonlinear stochastic system  mean square stabilization  linear matrix inequality(LMI)
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