一类随机切换模糊时滞系统的镇定研究  

Stabilization for a Class of Stochastic Switched Fuzzy Systems with Time-Delay

作　　者：李梁杰 范立南[1] 杨红[1] 

机构地区：[1]沈阳大学信息工程学院,辽宁沈阳110044

出　　处：《沈阳大学学报（自然科学版）》2017年第6期466-472,共7页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(61603261);沈阳市科技计划资助项目(17-175-3-00)

摘　　要：使用切换的思想策略对一类基于T-S模型的参数不确定随机切换模糊时滞系统进行镇定研究.基于Lyapunov稳定性理论、线性矩阵不等式(LMI)以及Ito公式等工具,设计带有时滞的模糊随机切换系统的状态反馈控制器,给出系统稳定性条件及系统渐近稳定的切换律设计方案.模糊时滞随机切换模型的子系统是多个模糊时滞随机系统,通过构造合适的切换控制策略,使整个模糊时滞随机切换系统稳定.最后,通过仿真实验进行验证该设计方法的可行性及有效性.The stabilization for a class of parameter uncertain stochastic switched systems with timedelay based on T-S fuzzy model was studied.Based on multiple Lyapunov stability theory,linear matrix inequality（LMI）andIt^oformula,state feedback controllers of stochastic switched fuzzy systems with time-delay were designed.Sufficient conditions and switching strategy achieving system global asymptotic stability of the system was discussed.In this model,each subsystem of switched system was a stochastic switched fuzzy system with time-delay.The whole stochastic switched fuzzy system with time-delay stabilization was obtained by design the appropriate switching law.Simulation results show the feasibility and effectiveness of the method.

关 键 词：模糊系统 随机 时滞 切换系统 切换律 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]