一类离散切换模糊系统的稳定性

针对离散模糊系统,提出一类离散切换模糊系统的稳定性问题.使用切换技术及单Lyapunov函数、多Lyapunov函数方法构造出连续状态反馈控制器,使得相应的闭环系统渐近稳定,同时设计可以实现系统全局渐近稳定的切换律.模型中的每个切换系统的子系统是离散模糊系统,取常用的平行分布补偿PDC控制器,主要条件以凸组合和矩阵不等式的形式给出,具有较强的可解性.计算机仿真结果表明设计方法的可行性与有效性.

Stability of a class of discrete switched fuzzy systems

For a discrete fuzzy system,stability of discrete switched fuzzy systems is presented in this paper.Using the switching technique,single Lyapunov function and multiple Lyapunov functions method,the continuous state feedback controller is designed to ensure that the relevant closed-loop system is asymptotically stable.Moreover,switching strategy achieving global asymptotic stability of the discrete switched fuzzy system is given.In this model,each subsystem of switched system is a discrete fuzzy system,and a common parallel distributed compensation controller is presented.The main condition is also given in form of convex combinations and matrix inequalities which are more solvable.Finally,a simulation shows the feasibility and the effectiveness of the method.