基于T-S模型的随机切换模糊系统的稳定性研究  

Stability Analysis for a Class of Stochastic Switched Fuzzy Systems Based on T-S Model

作　　者：张乐[1] 郭春鹏[1] 关忱 李智[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2期107-112,共6页Journal of Shenyang University：Natural Science

基　　金：国家自然科学基金资助项目(61004039);辽宁省自然科学基金指导计划项目(201602529)

摘　　要：通过切换技术研究了一类基于T-S模型的不确定随机切换模糊系统均方镇定问题.基于多Lyapunov函数和线性矩阵不等式(LMI)设计随机切换模糊系统状态反馈控制器,给出稳定性条件及相应的使得系统镇定的切换律设计方案.随机切换模糊模型中的每个切换子系统是随机模糊系统,当某些子系统不稳定时,构造恰当的切换控制策略,可以使整个随机切换模糊系统稳定.通过仿真实验验证了该设计方法的可行性及有效性.Mean square stabilization of a class of uncertain stochastic switched fuzzy systems based on T-S model is proposed using switching technology. Based on the multiple Lyapunov function methods and linear matrix inequality（LMI）, state feedback controllers of stochastic switched fuzzy systems are designed. Sufficient conditions and switching strategy achieving system global asymptotic stability of the system is discussed. In this model, each subsystem of switched system is a stochastic fuzzy system. When some subsystems are unstable, the whole stochastic switched fuzzy system stabilization is obtained by design the appropriate switching law. The design feasibility and effectiveness are illustrated by simulation.

关 键 词：随机 切换 模糊 均方稳定 切换律 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]