一类中立型切换系统的依模态异步事件触发控制  

A Class of Neutral Switching Systems with Mode-dependent Asynchronous Event-triggered Control

作　　者：陈皓宇 唐荣强 杨鑫松 CHEN Hao-yu;TANG Rong-qiang;YANG Xin-song(College of Mathematics Science,Chongqing Normal University,Chongqing 401331;College of Electronics and Information Engineering,Sichuan University,Chengdu 610065)

机构地区：[1]重庆师范大学数学科学学院,重庆401331 [2]四川大学电子信息学院,四川成都610065

出　　处：《控制工程》2023年第5期954-960,共7页Control Engineering of China

基　　金：国家自然科学基金项目(61673078);四川省中央引导地方科技发展专项(2021ZYD0015);中央高校基本科研业务费专项资金资助项目(2022SCU12009);四川省教委自然科学基金资助项目(2022NSFSC0541,2022NSFSC0875)。

摘　　要：通过设计一类依赖模态的异步事件触发控制器实现中立型切换系统的指数稳定。针对具有混合时滞时变时滞的中立型切换系统,提出了一种事件触发采样机制,并考虑系统受物理原件的影响,控制器与系统间存在时滞,再利用时间区间分割和凸组合技术构建一类新颖的多Lyapunov泛函,将系统的异步段,同步段分别分割,给出该类中立型切换系统的稳定充分条件。该分析技术不需要约束在切换时刻引入的增长系数大于1,大大降低了结果的保守性。最后,通过数值仿真验证了理论成果和分析方法的有效性。Exponential stability of neutral switched systems is achieved by designing a mode-dependent asynchronous event trigger controller.For neutral switched systems with mixed time-delays and time-varying delays,an event-trigger sampling mechanism is proposed.Considering that the system is affected by the physical origin,there is a time delay between the controllers and the systems,a novel multi-Lyapunov function is constructed by using the time-interval partitioning and convex combination techniques.The asynchronous and synchronous segments of the system are separately divided,and the sufficient conditions for the stability of such neutral switching systems are given.The analysis technique does not require constraints to introduce a growth factor greater than 1 at the switch time,which greatly reduces the conservativeness of the results.Finally,the effectiveness of the theoretical results and analysis methods is verified by a numerical simulation.

关 键 词：事件触发 异步切换 切换系统 中立型时滞 多LYAPUNOV函数 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]