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

Pengpeng Zhang; Tengfei Liu; Zhong Ping Jiang

doi:10.1109/TAC.2020.2979828

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

Pengpeng Zhang, Tengfei Liu, Zhong Ping Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Article number	9031377
Pages (from-to)	421-428
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	66
Issue number	1
DOIs	https://doi.org/10.1109/TAC.2020.2979828
State	Published - Jan 2021

Keywords

Event-triggered control
global asymptotic stabilization
nonlinear time-delay system
small-gain design

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2020.2979828

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title = "Event-Triggered Stabilization of a Class of Nonlinear Time-Delay Systems",

abstract = "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. ",

keywords = "Event-triggered control, global asymptotic stabilization, nonlinear time-delay system, small-gain design",

author = "Pengpeng Zhang and Tengfei Liu and Jiang, {Zhong Ping}",

note = "Funding Information: Manuscript received November 19, 2019; accepted February 29, 2020. Date of publication March 10, 2020; date of current version December 24, 2020. This work was supported in part by the NSFC under Grants 61633007, 61533007, and U1911401, in part by the NSF under Grant EPCN-1903781, and in part by the State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT. Recommended by Associate Editor L. Wu (Corresponding author: Tengfei Liu.) Pengpeng Zhang and Tengfei Liu are with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110004, China (e-mail: ppzhang@hotmail.com; tengfei.liu@live.com). Publisher Copyright: {\textcopyright} 1963-2012 IEEE.",

year = "2021",

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language = "English (US)",

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AU - Jiang, Zhong Ping

N1 - Funding Information: Manuscript received November 19, 2019; accepted February 29, 2020. Date of publication March 10, 2020; date of current version December 24, 2020. This work was supported in part by the NSFC under Grants 61633007, 61533007, and U1911401, in part by the NSF under Grant EPCN-1903781, and in part by the State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT. Recommended by Associate Editor L. Wu (Corresponding author: Tengfei Liu.) Pengpeng Zhang and Tengfei Liu are with the State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110004, China (e-mail: ppzhang@hotmail.com; tengfei.liu@live.com). Publisher Copyright: © 1963-2012 IEEE.

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AB - 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.

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KW - small-gain design

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

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Keywords

ASJC Scopus subject areas

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