Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance

Jun Min Wang; Li Li Wang; Jun Jun Liu; Beibei Ren

doi:10.1109/WCICA.2014.7052828

Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance

Jun Min Wang, Li Li Wang, Jun Jun Liu, Beibei Ren

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

In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the 'reaching condition' is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.

源语言	英语
主期刊名	Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014
出版商	Institute of Electrical and Electronics Engineers Inc.
页	856-860
页数	5
版本	March
ISBN（电子版）	9781479958252
DOI	https://doi.org/10.1109/WCICA.2014.7052828
出版状态	已出版 - 2 3月 2015
活动	2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 - Shenyang, 中国期限: 29 6月 2014 → 4 7月 2014

出版系列

姓名	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
编号	March
卷	2015-March

会议

会议	2014 11th World Congress on Intelligent Control and Automation, WCICA 2014
国家/地区	中国
市	Shenyang
时期	29/06/14 → 4/07/14

访问文件

10.1109/WCICA.2014.7052828

其它文件与链接

链接到 Scopus 的出版物

引用此

Wang, J. M., Wang, L. L., Liu, J. J., & Ren, B. (2015). Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance. 在 Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014 (March 编辑, 页码 856-860). 文章 7052828 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); 卷 2015-March, 号码 March). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/WCICA.2014.7052828

Wang, Jun Min ; Wang, Li Li ; Liu, Jun Jun 等. / Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance. Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. March. 编辑 Institute of Electrical and Electronics Engineers Inc., 2015. 页码 856-860 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); March).

@inproceedings{f15b040de70545f0b7bb53689397c5c8,

title = "Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance",

abstract = "In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the 'reaching condition' is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.",

keywords = "Backstepping, Boundary control, Cascade systems, Disturbance rejection, Sliding mode control",

author = "Wang, {Jun Min} and Wang, {Li Li} and Liu, {Jun Jun} and Beibei Ren",

note = "Publisher Copyright: {\textcopyright} 2014 IEEE.; 2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 ; Conference date: 29-06-2014 Through 04-07-2014",

year = "2015",

month = mar,

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doi = "10.1109/WCICA.2014.7052828",

language = "English",

series = "Proceedings of the World Congress on Intelligent Control and Automation (WCICA)",

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booktitle = "Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014",

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Wang, JM, Wang, LL, Liu, JJ & Ren, B 2015, Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance. 在 Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. March 编辑, 7052828, Proceedings of the World Congress on Intelligent Control and Automation (WCICA), 号码 March, 卷 2015-March, Institute of Electrical and Electronics Engineers Inc., 页码 856-860, 2014 11th World Congress on Intelligent Control and Automation, WCICA 2014, Shenyang, 中国, 29/06/14. https://doi.org/10.1109/WCICA.2014.7052828

Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance. / Wang, Jun Min; Wang, Li Li; Liu, Jun Jun 等.
Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. March. 编辑 Institute of Electrical and Electronics Engineers Inc., 2015. 页码 856-860 7052828 (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); 卷 2015-March, 号码 March).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance

AU - Wang, Jun Min

AU - Wang, Li Li

AU - Liu, Jun Jun

AU - Ren, Beibei

PY - 2015/3/2

Y1 - 2015/3/2

N2 - In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the 'reaching condition' is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.

AB - In this paper, we are concerned with the boundary feedback stabilization of a cascade system of ODE-PDE with the external disturbance flowing the control end, where the PDE is described by a heat equation with Dirichlet interconnection. We use the sliding mode control (SMC) to deal with the disturbance. By the SMC approach, the disturbance is supposed to be bounded only. The existence and uniqueness of the solution for the closed-loop via SMC are proved, and the monotonicity of the 'reaching condition' is presented without the differentiation of the sliding mode function, for which it may not always exist for the weak solution of the closed-loop system.

KW - Backstepping

KW - Boundary control

KW - Cascade systems

KW - Disturbance rejection

KW - Sliding mode control

UR - http://www.scopus.com/inward/record.url?scp=84932095030&partnerID=8YFLogxK

U2 - 10.1109/WCICA.2014.7052828

DO - 10.1109/WCICA.2014.7052828

M3 - Conference contribution

AN - SCOPUS:84932095030

T3 - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

SP - 856

EP - 860

BT - Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 11th World Congress on Intelligent Control and Automation, WCICA 2014

Y2 - 29 June 2014 through 4 July 2014

ER -

Wang JM, Wang LL, Liu JJ, Ren B. Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance. 在 Proceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014. March 编辑 Institute of Electrical and Electronics Engineers Inc. 2015. 页码 856-860. 7052828. (Proceedings of the World Congress on Intelligent Control and Automation (WCICA); March). doi: 10.1109/WCICA.2014.7052828

Stabilization of a cascade system of ODE-PDE subject to boundary control matched disturbance

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