一类多时滞切换随机系统的无源输出调节问题  

Passive output regulation problem for a class of switched stochastic systems with multi-delays

作　　者：李莉莉[1] 苑春波[1] 史宁宁[1] 周月峰[1] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2017年第1期6-13,共8页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(61304056;11671184);大连市高层次人才创新支持计划项目(2016RQ049)

摘　　要：基于无源性讨论一类多时滞切换随机系统的输出调节问题.构造分段Lyapunov泛函,利用平均驻留时间方法,分别设计多时滞全息反馈控制器和多时滞误差反馈控制器.结合自由权矩阵方法和詹森积分不等式,以线性矩阵不等式的形式给出多时滞切换随机系统的无源输出调节问题可解的充分条件.最后,用两个仿真例子说明结果的有效性.This paper discusses the output regulation problem for a class of switched stochastic systems with multi-delays based on passive performance.Constructing apiecewise Lyapunov functional and using the average dwell time method,a full information feedback controller and an errorfeedback controllerare designed with multi-delays respectively.By combining the free-weighting matrix method and Jensen’s integral inequality,sufficient conditions for the solvability of the passive output regulation problem for switched stochastic systems with multi-delays are given in the form of linear matrix inequalities.Besides,two simulation examples are introduced to illustrate the validity of the results gained.

关 键 词：切换随机系统 多时滞 输出调节问题 无源性 平均驻留时间 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]