基于事件触发异步切换系统的输入输出有限时间稳定  

Input-output finite time stability of asynchronous switched systems with event-triggered

作　　者：杨洋 吴保卫[1] 王月娥[1] YANG Yang;WU Bao-wei;WANG Yue-e(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710119,Shaanxi,China)

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710119

出　　处：《山东大学学报（理学版）》2020年第2期118-126,共9页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(61403241);中央高校基本科研业务费专项资金资助(GK201905001);陕西师范大学学术带头人和学术骨干资助项目(18QNGG005).

摘　　要：研究在事件触发采样方案下,系统含有不确定项以及由控制器切换时滞导致的异步切换的输入输出有限时间稳定性问题。首先,给出系统输入输出有限时间稳定的概念,并基于事件触发采样方案设计了状态反馈控制器。其次,通过多Lyapunov函数和平均驻留时间方法,得到不确定异步切换闭环系统输入输出有限时间稳定的充分条件。最后用一个数值仿真例子说明所得结论的有效性。The input-output finite-time stability of asynchronous switched system due to the switching delays of controllers with uncertainties under event-triggered sampling scheme is investigated.Firstly,the concept of input-output finite-time stability of system is given,and a state feedback controller is designed based on event-triggered sampling scheme.Secondly,some sufficient conditions for input-output finite-time stability of uncertain asynchronous switched closed-loop systems are derived by applying multiple Lyapunov functions method and average dwell time approach.Finally,a numerical simulation example is given to illustrate the validity of the conclusions.

关 键 词：异步切换 事件触发 不确定系统 输入输出有限时间稳定 

分 类 号：O231[理学—运筹学与控制论]