信息与控制2025，Vol.54Issue(3)：401-412,12.DOI:10.13976/j.cnki.xk.2024.0763
事件触发非周期间歇控制下离散时滞系统的指数镇定
Exponential Stabilization of Discrete-time Delayed Systems under Event-triggered Aperiodic Intermittent Control
摘要
Abstract
This paper studies the exponential stabilization of discrete-time delayed systems under event-triggered aperiodic intermittent controls.For discrete-time delayed systems(DDSs),an event-trig-gered aperiodic intermittent control(EAPIC)scheme and an EAPIC based on state control width(EAPIC-SCW)scheme are designed,respectively.Under the EAPIC scheme,by applying thresh-old and detection period index,an algorithm for event-triggered aperiodic intermittent control is given,and the exponential stability criterion is derived.In addition,an EAPIC-SCW scheme is designed by introducing free control indicators into EAPIC.It is theoretically proved that the de-signed EAPIC and EAPIC-SCW are non-trivial and can achieve the required exponential stability of the discrete-time delayed system.To assess the performance of these schemes,control times and minimal rate of control are compared between the periodic intermittent control scheme and the time-triggered aperiodic intermittent control scheme.Our theoretical results show that both event-trig-gered controls offer lower control times and rates.Theoretical results show that both the control times and minimum control rates of the two kinds of event-triggered aperiodic intermittent control are lower.Finally,a numerical simulation example is used to verify the effectiveness of the theo-retical results.The results show that the control times and control rates of EAPIC and EAPIC-SCW in 100 seconds are 10 times,56％and 12 times,38％,respectively,which are lower than that of the periodic intermittent control and the time-triggered aperiodic intermittent control,and EAPIC-SCW achieves the lowest control rate and the shortest total control time.关键词
指数稳定性/离散时滞系统/间歇控制/事件触发控制/极小控制率Key words
exponential stability/discrete-time delayed system/intermittent control/event-triggered control/minimal rate of control分类
信息技术与安全科学引用本文复制引用
傅志忠,刘斌,杨兴旺,刘勇..事件触发非周期间歇控制下离散时滞系统的指数镇定[J].信息与控制,2025,54(3):401-412,12.基金项目
国家自然科学基金项目(62073132) （62073132）
湖南工业大学研究生科研创新项目(CX2427) （CX2427）
