Event-Triggered Stabilization of Parabolic PDEs by Switching

Wen Kang, Emilia Fridman, Jing Zhang, Chuan Xin Liu

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

Abstract

Although switching-based stabilization of 1D parabolic systems was investigated by employing one actuator moving in spatial domain in our recent paper [18], this method increases the system cost since actuator and sensor switching happens at fixed time regardless of whether the switching is necessary or not. To further reduce operating and production cost, in the present paper, switching-based dynamic event-triggered control law is studied to stabilize the parabolic PDE systems via output-dependent switching law. Constructive exponential stability conditions are established by using Lyapunov method. A numerical example shows the effectiveness of the proposed methods.

Original languageEnglish
Title of host publication2023 62nd IEEE Conference on Decision and Control, CDC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6899-6904
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
Guangdong Basic and Applied Basic Research2022A1515010039
National Natural Science Foundation of China62273046
National Natural Science Foundation of China
Israel Science Foundation673/19
Israel Science Foundation
Beijing Nova Program
Beijing Institute of Technology Research Fund Program for Young Scholars3170012222207
Beijing Institute of Technology Research Fund Program for Young Scholars

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