Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay

Yuhan Xu; Yukai Zhu; Bo Tian; Jianzhong Qiao; Chenliang Wang

doi:10.1109/CCDC52312.2021.9602744

Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay

Beihang University

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, the control problem of a positive Markov jump system with multiple disturbances and time-varying delay is considered. First, the analysis of stochastic stability and LI performance of positive Markov jump systems (PMJSs) with delay is given. Based on disturbance observer-based control (DOBC) and L1 control, a composite anti-disturbance controller for PMJSs is proposed, under which the closed-loop Markov system is stochastically stable and positive and the effect of disturbances can be reduced to satisfy the given performance index. Finally, an illustrative example is presented to show the effectiveness of the proposed scheme.

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	5678-5684
页数	7
ISBN（电子版）	9781665440899
DOI	https://doi.org/10.1109/CCDC52312.2021.9602744
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/CCDC52312.2021.9602744

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链接到 Scopus 的出版物

引用此

Xu, Y., Zhu, Y., Tian, B., Qiao, J., & Wang, C. (2021). Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay. 在 Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021 (页码 5678-5684). (Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC52312.2021.9602744

Xu, Yuhan ; Zhu, Yukai ; Tian, Bo 等. / Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay. Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. 页码 5678-5684 (Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021).

@inproceedings{4909cd52172247659f971cde45b96669,

title = "Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay",

abstract = "In this paper, the control problem of a positive Markov jump system with multiple disturbances and time-varying delay is considered. First, the analysis of stochastic stability and LI performance of positive Markov jump systems (PMJSs) with delay is given. Based on disturbance observer-based control (DOBC) and L1 control, a composite anti-disturbance controller for PMJSs is proposed, under which the closed-loop Markov system is stochastically stable and positive and the effect of disturbances can be reduced to satisfy the given performance index. Finally, an illustrative example is presented to show the effectiveness of the proposed scheme.",

keywords = "Stabilization, multiple disturbances, positive Markov jump systems, time-varying delay",

author = "Yuhan Xu and Yukai Zhu and Bo Tian and Jianzhong Qiao and Chenliang Wang",

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/CCDC52312.2021.9602744",

language = "英语",

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

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

pages = "5678--5684",

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

address = "美国",

}

Xu, Y, Zhu, Y , Tian, B , Qiao, J & Wang, C 2021, Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay. 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 5678-5684, 33rd Chinese Control and Decision Conference, CCDC 2021, Kunming, 中国, 22/05/21. https://doi.org/10.1109/CCDC52312.2021.9602744

Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay. / Xu, Yuhan; Zhu, Yukai ; Tian, Bo 等.
Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. 页码 5678-5684 (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 - Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay

AU - Xu, Yuhan

AU - Zhu, Yukai

AU - Tian, Bo

AU - Qiao, Jianzhong

AU - Wang, Chenliang

PY - 2021

Y1 - 2021

N2 - In this paper, the control problem of a positive Markov jump system with multiple disturbances and time-varying delay is considered. First, the analysis of stochastic stability and LI performance of positive Markov jump systems (PMJSs) with delay is given. Based on disturbance observer-based control (DOBC) and L1 control, a composite anti-disturbance controller for PMJSs is proposed, under which the closed-loop Markov system is stochastically stable and positive and the effect of disturbances can be reduced to satisfy the given performance index. Finally, an illustrative example is presented to show the effectiveness of the proposed scheme.

AB - In this paper, the control problem of a positive Markov jump system with multiple disturbances and time-varying delay is considered. First, the analysis of stochastic stability and LI performance of positive Markov jump systems (PMJSs) with delay is given. Based on disturbance observer-based control (DOBC) and L1 control, a composite anti-disturbance controller for PMJSs is proposed, under which the closed-loop Markov system is stochastically stable and positive and the effect of disturbances can be reduced to satisfy the given performance index. Finally, an illustrative example is presented to show the effectiveness of the proposed scheme.

KW - Stabilization

KW - multiple disturbances

KW - positive Markov jump systems

KW - time-varying delay

UR - https://www.scopus.com/pages/publications/85125207656

U2 - 10.1109/CCDC52312.2021.9602744

DO - 10.1109/CCDC52312.2021.9602744

M3 - 会议稿件

AN - SCOPUS:85125207656

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

SP - 5678

EP - 5684

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 -

Xu Y, Zhu Y , Tian B , Qiao J , Wang C. Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay. 在 Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. 页码 5678-5684. (Proceedings of the 33rd Chinese Control and Decision Conference, CCDC 2021). doi: 10.1109/CCDC52312.2021.9602744

Composite Anti-Disturbance Control of Positive Markov Jump Systems with Disturbances and Time-Varying Delay

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