Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances

Hanwen Zhang; Junmin Wang; Jianjun Gu

doi:10.1109/CCDC52312.2021.9602220

Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances

Hanwen Zhang
, Junmin Wang
, Jianjun Gu

数学学院

Beijing Institute of Technology
Changshu Institute of Technology

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

2 引用（Scopus）

摘要

This paper investigates the input-to-state stabilization problem of an ODE cascaded by a parabolic partial integro-differential equation (PIDE) subject to disturbances. First, the backstepping approach and the sliding mode control method are used to design the discontinuous boundary feedback control law. Then, a Galerkin approximation scheme is constructed to show the existence of solution to the closed-loop system. With the Lyapunov approach, the input-to-state stability of the closed-loop system is obtained. Finally, the simulation results are presented to illustrate the effectiveness of the proposed control law.

源语言	英语
主期刊名	Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021
出版商	Institute of Electrical and Electronics Engineers Inc.
页	979-984
页数	6
ISBN（电子版）	9781665440899
DOI	https://doi.org/10.1109/CCDC52312.2021.9602220
出版状态	已出版 - 2021
活动	33rd Chinese Control and Decision Conference, CCDC 2021 - Kunming, 中国期限: 22 5月 2021 → 24 5月 2021

出版系列

姓名	Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021

会议

会议	33rd Chinese Control and Decision Conference, CCDC 2021
国家/地区	中国
市	Kunming
时期	22/05/21 → 24/05/21

访问文件

10.1109/CCDC52312.2021.9602220

其它文件与链接

链接到 Scopus 的出版物

引用此

Zhang, H., Wang, J., & Gu, J. (2021). Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances. 在 Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021 (页码 979-984). (Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC52312.2021.9602220

@inproceedings{d1bd78d94cff419aacfc665df2c17d9b,

title = "Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances",

abstract = "This paper investigates the input-to-state stabilization problem of an ODE cascaded by a parabolic partial integro-differential equation (PIDE) subject to disturbances. First, the backstepping approach and the sliding mode control method are used to design the discontinuous boundary feedback control law. Then, a Galerkin approximation scheme is constructed to show the existence of solution to the closed-loop system. With the Lyapunov approach, the input-to-state stability of the closed-loop system is obtained. Finally, the simulation results are presented to illustrate the effectiveness of the proposed control law.",

keywords = "Disturbance rejection, Input-to-state stabilization, Parabolic partial integro-differential equation, Sliding mode control method",

author = "Hanwen Zhang and Junmin Wang and Jianjun Gu",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 33rd Chinese Control and Decision Conference, CCDC 2021 ; Conference date: 22-05-2021 Through 24-05-2021",

year = "2021",

doi = "10.1109/CCDC52312.2021.9602220",

language = "English",

series = "Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021",

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

pages = "979--984",

booktitle = "Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021",

address = "United States",

}

Zhang, H, Wang, J & Gu, J 2021, Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances. 在 Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021. Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021, Institute of Electrical and Electronics Engineers Inc., 页码 979-984, 33rd Chinese Control and Decision Conference, CCDC 2021, Kunming, 中国, 22/05/21. https://doi.org/10.1109/CCDC52312.2021.9602220

Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances. / Zhang, Hanwen; Wang, Junmin; Gu, Jianjun.
Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. 页码 979-984 (Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances

AU - Zhang, Hanwen

AU - Wang, Junmin

AU - Gu, Jianjun

PY - 2021

Y1 - 2021

N2 - This paper investigates the input-to-state stabilization problem of an ODE cascaded by a parabolic partial integro-differential equation (PIDE) subject to disturbances. First, the backstepping approach and the sliding mode control method are used to design the discontinuous boundary feedback control law. Then, a Galerkin approximation scheme is constructed to show the existence of solution to the closed-loop system. With the Lyapunov approach, the input-to-state stability of the closed-loop system is obtained. Finally, the simulation results are presented to illustrate the effectiveness of the proposed control law.

AB - This paper investigates the input-to-state stabilization problem of an ODE cascaded by a parabolic partial integro-differential equation (PIDE) subject to disturbances. First, the backstepping approach and the sliding mode control method are used to design the discontinuous boundary feedback control law. Then, a Galerkin approximation scheme is constructed to show the existence of solution to the closed-loop system. With the Lyapunov approach, the input-to-state stability of the closed-loop system is obtained. Finally, the simulation results are presented to illustrate the effectiveness of the proposed control law.

KW - Disturbance rejection

KW - Input-to-state stabilization

KW - Parabolic partial integro-differential equation

KW - Sliding mode control method

UR - https://www.scopus.com/pages/publications/85125195921

U2 - 10.1109/CCDC52312.2021.9602220

DO - 10.1109/CCDC52312.2021.9602220

M3 - Conference contribution

AN - SCOPUS:85125195921

T3 - Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021

SP - 979

EP - 984

BT - Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 33rd Chinese Control and Decision Conference, CCDC 2021

Y2 - 22 May 2021 through 24 May 2021

ER -

Zhang H, Wang J, Gu J. Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances. 在 Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. 页码 979-984. (Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021). doi: 10.1109/CCDC52312.2021.9602220

Input-to-State Stabilization for an ODE Cascaded by a Parabolic PIDE with Disturbances

摘要

出版系列

会议

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其它文件与链接

学术指纹

引用此