Practical prescribed/prescribed time stabilization via event-triggered impulsive control with actuation delays

IF 2.5 3区 计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS
Arnab Mapui, Santwana Mukhopadhyay
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引用次数: 0

Abstract

The present work investigates the problem of practical prescribed / prescribed-time stabilization of nonlinear systems by virtue of event-triggered impulsive control with actuation delays. Two event-triggering mechanisms ETM based on continuous event detection are put forward in this context. In both cases, impulse control inputs are updated after a specific time, known as actuation delays, to the event-triggering instants. Lyapunov-like sufficient conditions are proposed to achieve practical prescribed/prescribed-time stability of impulse-controlled systems with actuation delays corresponding to the designed first and second ETM, respectively. Moreover, both of the proposed ETM is free from Zeno behavior. Furthermore, two examples are considered and corresponding numerical simulations are performed to convey and validate the efficacy of the proposed theoretical results.
实际规定/规定时间稳定通过事件触发脉冲控制与驱动延迟
本文研究了具有驱动时滞的事件触发脉冲控制的非线性系统的实际规定/规定时间镇定问题。在此背景下,提出了两种基于连续事件检测的事件触发机制ETM。在这两种情况下,脉冲控制输入在特定时间(称为驱动延迟)之后更新到事件触发时刻。提出了lyapunov类充分条件,以实现与所设计的第一ETM和第二ETM分别对应的驱动延迟脉冲控制系统的实际规定/规定时间稳定性。此外,这两种ETM都不存在芝诺行为。最后结合两个算例进行了数值模拟,验证了所提理论结果的有效性。
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
Systems & Control Letters
Systems & Control Letters 工程技术-运筹学与管理科学
CiteScore
4.60
自引率
3.80%
发文量
144
审稿时长
6 months
期刊介绍: Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.
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