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Stabilization of switched linear systems using an improved event-triggered control scheme
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2021-04-29 , DOI: 10.1016/j.nahs.2021.101048
Can Li , Zhizheng Xu

This paper is concerned with the event-triggered control of switched linear systems. The coupling of system switching and event-triggered communication raises two phenomena: (1) the update of controller cannot always catch up with the active subsystem; (2) the switching may lead to additional triggers. The first phenomenon is called the asynchronous switching induced by network communication and the second one brings great difficulty to avoid the Zeno behavior of event-triggered mechanism (ETM). To address the above problem, we propose a new ETM which contains the switching signal of models and controllers and the discontinuity of triggering error at switching time instants. A relative threshold strategy, combined with a jump function, is designed as a new threshold function. By introducing a compensation term, the linear feedback control law is extended to avoid the Zeno behavior of ETM and improve the solvability of control algorithm. Based on the proposed event-triggered control scheme, the exponential stabilization of switched systems is achieved with relaxed constraints on the triggering and switching conditions. The obtained results are validated by a numerical example.



中文翻译:

使用改进的事件触发控制方案来稳定线性开关系统

本文涉及开关线性系统的事件触发控制。系统切换和事件触发的通信的耦合产生了两种现象:(1)控制器的更新不能总是赶上活动子系统。(2)切换可能会导致其他触发器。第一种现象称为网络通信引起的异步切换,第二种现象给避免事件触发机制(ETM)的Zeno行为带来了很大的困难。为了解决上述问题,我们提出了一种新的ETM,其中包含模型和控制器的切换信号以及切换时刻的触发错误的不连续性。结合跳跃函数的相对阈值策略被设计为新的阈值函数。通过引入补偿条款,扩展了线性反馈控制律,避免了ETM的Zeno行为,提高了控制算法的可解性。基于所提出的事件触发控制方案,在对触发和切换条件有宽松约束的情况下,实现了切换系统的指数稳定。数值实例验证了所获得的结果。

更新日期:2021-04-29
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