Event-Triggered Impulsive Control for Nonlinear Systems With Actuation Delays

• 成果类型: Article
• 署名作者: Zhang, Kexue; Braverman, Elena
• 署名单位: Queens University - Canada; University of Calgary
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3142127
• 发表日期: 2023
• 页码: 540-547
• 关键词: Actuation delay; event-triggered impulsive control; nonlinear system; Zeno behavior

摘要

This article studies impulsive stabilization of nonlinear systems. We propose two types of event-triggering algorithms to update the impulsive control signals with actuation delays. The first algorithm is based on continuous event detection, while the second type makes decision about updating the impulsive control inputs according to periodic event detection. Sufficient conditions are derived to ensure asymptotic stability of the impulsive control systems with the designed event-triggering algorithms. Lower bounds of the time period between two consecutive events are also obtained, so that the closed-loop impulsive systems are free of Zeno behavior. That is to say that the pulse phenomena are excluded from the event-triggered impulsive control systems, in the community of impulsive differential equations. An illustrative example demonstrates effectiveness of the proposed algorithms and our theoretical results.