Event-Triggered Stabilization of Parabolic PDEs by Switching

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

doi:10.1109/CDC49753.2023.10383781

Event-Triggered Stabilization of Parabolic PDEs by Switching

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

数学学院

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

摘要

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.

源语言	英语
主期刊名	2023 62nd IEEE Conference on Decision and Control, CDC 2023
出版商	Institute of Electrical and Electronics Engineers Inc.
页	6899-6904
页数	6
ISBN（电子版）	9798350301243
DOI	https://doi.org/10.1109/CDC49753.2023.10383781
出版状态	已出版 - 2023
活动	62nd IEEE Conference on Decision and Control, CDC 2023 - Singapore, 新加坡期限: 13 12月 2023 → 15 12月 2023

出版系列

姓名	Proceedings of the IEEE Conference on Decision and Control
ISSN（印刷版）	0743-1546
ISSN（电子版）	2576-2370

会议

会议	62nd IEEE Conference on Decision and Control, CDC 2023
国家/地区	新加坡
市	Singapore
时期	13/12/23 → 15/12/23

访问文件

10.1109/CDC49753.2023.10383781

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链接到 Scopus 的出版物

引用此

@inproceedings{2602baa91b8540bf9f3ac95657eab67e,

title = "Event-Triggered Stabilization of Parabolic PDEs by Switching",

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.",

author = "Wen Kang and Emilia Fridman and Jing Zhang and Liu, {Chuan Xin}",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 62nd IEEE Conference on Decision and Control, CDC 2023 ; Conference date: 13-12-2023 Through 15-12-2023",

year = "2023",

doi = "10.1109/CDC49753.2023.10383781",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "6899--6904",

booktitle = "2023 62nd IEEE Conference on Decision and Control, CDC 2023",

address = "United States",

}

Kang, W, Fridman, E, Zhang, J & Liu, CX 2023, Event-Triggered Stabilization of Parabolic PDEs by Switching. 在 2023 62nd IEEE Conference on Decision and Control, CDC 2023. Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., 页码 6899-6904, 62nd IEEE Conference on Decision and Control, CDC 2023, Singapore, 新加坡, 13/12/23. https://doi.org/10.1109/CDC49753.2023.10383781

Event-Triggered Stabilization of Parabolic PDEs by Switching. / Kang, Wen; Fridman, Emilia; Zhang, Jing 等.
2023 62nd IEEE Conference on Decision and Control, CDC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. 页码 6899-6904 (Proceedings of the IEEE Conference on Decision and Control).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

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T1 - Event-Triggered Stabilization of Parabolic PDEs by Switching

AU - Kang, Wen

AU - Fridman, Emilia

AU - Zhang, Jing

AU - Liu, Chuan Xin

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85184801897&partnerID=8YFLogxK

U2 - 10.1109/CDC49753.2023.10383781

DO - 10.1109/CDC49753.2023.10383781

M3 - Conference contribution

AN - SCOPUS:85184801897

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 6899

EP - 6904

BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 62nd IEEE Conference on Decision and Control, CDC 2023

Y2 - 13 December 2023 through 15 December 2023

ER -

Event-Triggered Stabilization of Parabolic PDEs by Switching

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