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非线性时滞随机模糊系统的均方镇定
Mean square stablliation of T-S fuzzy stochastic systems with time-delays
【摘要】 提出了一类基于T-S模糊模型的非线性时滞随机系统均方镇定的LMI通用设计方法.利用具有时滞的非线性随机系统的Lyapunov稳定性理论,导出闭环系统均方指数稳定的矩阵不等式(LMI)条件,最后通过数值例子说明了方法的有效性.
【Abstract】 A LMI design method for mean square stabilization of a class of nonlinear stochastic systems with time-delay based on the T-S fuzzy model is introduced.By means of Lyapunov stability theorems of nonlinear stochastic systems with time-delays,some mean square exponential stability conditions with time-delays are deduced to linear matrix inequality(LMI) problems.The design procedure and performance are illustrated by a numerical example.
【关键词】 时滞;
T-S模糊系统;
非线性随机系统;
均方指数稳定;
线性矩阵不等式(LMI);
【Key words】 time-delay; T-S fuzzy system; nonlinear stochastic system; mean square exponential stability; linear matrix inequality(LMI);
【Key words】 time-delay; T-S fuzzy system; nonlinear stochastic system; mean square exponential stability; linear matrix inequality(LMI);
【基金】 国家自然科学基金资助项目(60374022)
- 【文献出处】 纺织高校基础科学学报 ,Basic Sciences Journal of Textile Universities , 编辑部邮箱 ,2007年01期
- 【分类号】O231.3
- 【下载频次】56