Event-Triggered Stabilization of a Class of Nonlinear Time-Delay Systems

• 成果类型: Article
• 署名作者: Zhang, Pengpeng; Liu, Tengfei; Jiang, Zhong-Ping
• 署名单位: Northeastern University - China; New York University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.2979828
• 发表日期: 2021
• 页码: 421-428
• 关键词: robustness; asymptotic stability; stability analysis; Closed loop systems; Inductors; Nonlinear systems; event-triggered control; global asymptotic stabilization; nonlinear time-delay system; small-gain design

摘要

This article presents a solution to event-triggered stabilization of a class of nonlinear time-delay systems in the strict-feedback form. Set-valued maps are employed to handle the event-triggered sampling errors, and the closed-loop system is transformed into an interconnection of input-to-state stable subsystems through a set-valued constructive design. The event trigger is designed to satisfy a cyclic-small-gain condition, and the stability of the closed-loop event-triggered system is guaranteed by the cyclic-small-gain theorem for time-delay systems. The proposed design is verified by a practical example of cascade connected reactors.