Event-Triggered Robust Stabilization by Using Fast-Varying Square Wave Dithers

Jin Zhang, Zhihao Zhang, Emilia Fridman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper is concerned with event-triggered robust static output-feedback stabilization of the second-order linear uncertain systems by a fast-varying square wave with high gain. Recently, a constructive time-delay approach for designing such a fast-varying output-feedback controller was suggested by using continuous measurements. In the present paper, we employ an event-trigger (ET) based on switching approach that determines the measurement transmission instants for this design. For the resulting switching system, we construct appropriate coordinate transformations that cancel the high gains and apply the time-delay approach to periodic averaging of the system in new coordinates. By employing appropriate Lyapunov functionals, we derive linear matrix inequalities (LMIs) for finding an efficient upper bound on the square wave frequency that guarantees the stability of the original systems. Numerical examples illustrate the efficiency of the method.

Original languageEnglish
Title of host publication2023 62nd IEEE Conference on Decision and Control, CDC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages852-857
Number of pages6
ISBN (Electronic)9798350301243
DOIs
StatePublished - 2023
Event62nd IEEE Conference on Decision and Control, CDC 2023 - Singapore, Singapore
Duration: 13 Dec 202315 Dec 2023

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference62nd IEEE Conference on Decision and Control, CDC 2023
Country/TerritorySingapore
CitySingapore
Period13/12/2315/12/23

Funding

FundersFunder number
National Natural Science Foundation of China62303292
Israel Science Foundation673/19
Tel Aviv University

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