Lyapunov-like prescribed-time stability of impulsive systems via event & self-triggered impulsive control

IF 3.7 2区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Nonlinear Analysis-Hybrid Systems Pub Date : 2025-04-16 DOI:10.1016/j.nahs.2025.101598

Arnab Mapui, Santwana Mukhopadhyay

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引用次数: 0

Abstract

The main emphasis of this paper is to address the issue of event- and self-triggered impulsive control for the prescribed-time stability of impulsive systems. In the first part of the article, some Lyapunov-like sufficient conditions are derived to stabilize an impulsive system within the prescribed-time, where impulsive instants are obtained through an event-triggered mechanism. Unlike event-triggered control, event-triggered impulsive control executes solely when the event is generated. The second part of the article provides sufficient Lyapunov-like criteria for the prescribed-time stability of impulsive systems via a self-triggered mechanism. Contrary to the event-triggered impulsive control, where triggering instants are obtained through continuous or periodic monitoring of the event-triggering conditions, the proposed self-triggered impulsive control strategy can estimate the next triggering instant by the information available in the currently triggered instant. Moreover, it is demonstrated that the Zeno behavior can be excluded from both of the proposed mechanisms. Finally, two instances are provided to illustrate the theoretical results numerically and verify the veracity of the proposed methodologies.

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通过事件和自触发脉冲控制的脉冲系统的类李雅普诺夫规定时间稳定性

本文的重点是解决事件触发和自触发脉冲控制问题，以保证脉冲系统的规定时间稳定性。在文章的第一部分中，导出了在规定时间内稳定脉冲系统的一些类lyapunov充分条件，其中脉冲瞬间是通过事件触发机制获得的。与事件触发控制不同，事件触发脉冲控制仅在事件生成时执行。文章的第二部分通过自触发机制为脉冲系统的规定时间稳定性提供了充分的类李雅普诺夫判据。与事件触发脉冲控制通过对事件触发条件的连续或周期性监测来获得触发时刻不同，本文提出的自触发脉冲控制策略可以根据当前触发时刻中可用的信息来估计下一个触发时刻。此外，还证明了芝诺行为可以被排除在这两种机制之外。最后，通过两个实例对理论结果进行了数值说明，验证了所提方法的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Hybrid Systems AUTOMATION & CONTROL SYSTEMS-MATHEMATICS, APPLIED

CiteScore

8.30

自引率

9.50%

发文量

审稿时长

>12 weeks

期刊介绍： Nonlinear Analysis: Hybrid Systems welcomes all important research and expository papers in any discipline. Papers that are principally concerned with the theory of hybrid systems should contain significant results indicating relevant applications. Papers that emphasize applications should consist of important real world models and illuminating techniques. Papers that interrelate various aspects of hybrid systems will be most welcome.