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Event-Triggered Control of Infinite-Dimensional Systems
SIAM Journal on Control and Optimization ( IF 2.2 ) Pub Date : 2020-03-03 , DOI: 10.1137/18m1179717
Masashi Wakaiki , Hideki Sano

SIAM Journal on Control and Optimization, Volume 58, Issue 2, Page 605-635, January 2020.
This paper addresses the problem of event-triggered control for infinite-dimensional systems. We employ event-triggering mechanisms that compare the plant state and the error of the control input induced by the event-triggered implementation. Under the assumption that feedback operators are compact, a strictly positive lower bound on the interevent times can be guaranteed. We show that if the threshold of the event-triggering mechanisms is sufficiently small, then the event-triggered control system with a bounded control operator and a compact feedback operator is exponentially stable. For infinite-dimensional systems with unbounded control operators, we employ two event-triggering mechanisms that are based on system decomposition and periodic event-triggering, respectively, and then analyze the exponential stability of the closed-loop system under each event-triggering mechanism.


中文翻译:

无限维系统的事件触发控制

SIAM控制与优化杂志,第58卷,第2期,第605-635页,2020年1月。
本文解决了无穷维系统的事件触发控制问题。我们采用事件触发机制来比较工厂状态和由事件触发的实现引起的控制输入错误。在反馈算子紧凑的前提下,可以保证事件间隔时间的严格下限。我们表明,如果事件触发机制的阈值足够小,则具有边界控制算子和紧凑型反馈算子的事件触发控制系统将呈指数稳定。对于具有无界控制算子的无限维系统,我们采用两种分别基于系统分解和周期性事件触发的事件触发机制,
更新日期:2020-03-03
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