IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i19p3117-d1492642.html
   My bibliography  Save this article

Distributed Disturbance Observer-Based Containment Control of Multi-Agent Systems with Event-Triggered Communications

Author

Listed:
  • Lin Hu

    (School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China)

  • Long Jian

    (College of Electrical and Power Engineering, Taiyuan University of Technology, Taiyuan 030024, China
    Taiyuan Heavy Machinery Group Co. Ltd., Taiyuan 030027, China)

Abstract

This article investigates a class of multi-agent systems (MASs) with known dynamics external disturbances, where the communication graph is directed, and the followers have undirected connections. To eliminate the impacts of external disturbance, the technologies of disturbance observer-based control are introduced into the containment control problems. Additionally, to save communication costs and energy consumption, a distributed disturbance observer-based event-triggered controller is employed to achieve containment control and reject disturbance. Furthermore, designing the event-triggered function using an exponential function is beneficial for a time-dependent term while ensuring the exclusion of Zeno behavior. Finally, a numerical simulation is provided to validate the effectiveness of the theoretical analysis.

Suggested Citation

  • Lin Hu & Long Jian, 2024. "Distributed Disturbance Observer-Based Containment Control of Multi-Agent Systems with Event-Triggered Communications," Mathematics, MDPI, vol. 12(19), pages 1-14, October.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3117-:d:1492642
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/19/3117/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/19/3117/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Long Jian & Yongfeng Lv & Rong Li & Liwei Kou & Gengwu Zhang, 2023. "Distributed Disturbance Observer-Based Containment Control of Multi-Agent Systems via an Event-Triggered Approach," Mathematics, MDPI, vol. 11(10), pages 1-12, May.
    2. Hu, Jiangping & Hong, Yiguang, 2007. "Leader-following coordination of multi-agent systems with coupling time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 853-863.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Zhen Liu & Yingying Wen & Bin Zhao & Chengdong Yang, 2024. "Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations," Mathematics, MDPI, vol. 13(1), pages 1-17, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Observer-based output feedback distributed event-triggered control for linear multi-agent systems under general directed graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Jing Bai & Guoguang Wen & Ahmed Rahmani & Xing Chu & Yongguang Yu, 2016. "Consensus with a reference state for fractional-order multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 222-234, January.
    3. Ruan, Xiaoli & Xu, Chen & Feng, Jianwen & Wang, Jingyi & Zhao, Yi, 2022. "Adaptive dynamic event-triggered control for multi-agent systems with matched uncertainties under directed topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    4. Baojie Zheng & Xiaowu Mu, 2016. "Formation-containment control of second-order multi-agent systems with only sampled position data," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(15), pages 3609-3618, November.
    5. Peng, Zhinan & Hu, Jiangping & Shi, Kaibo & Luo, Rui & Huang, Rui & Ghosh, Bijoy Kumar & Huang, Jiuke, 2020. "A novel optimal bipartite consensus control scheme for unknown multi-agent systems via model-free reinforcement learning," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    6. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2012. "Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5839-5849.
    7. Guo, Wanli & He, Wennuo & Shi, Lili & Sun, Wen & Lu, Xiaoqing, 2021. "Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    8. Zhao, Can & Liu, Xinzhi & Zhong, Shouming & Shi, Kaibo & Liao, Daixi & Zhong, Qishui, 2021. "Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    9. Mo, Lipo & Yuan, Xiaolin & Yu, Yongguang, 2018. "Target-encirclement control of fractional-order multi-agent systems with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 479-491.
    10. Zhou, Dan-Dan & Zhao, Ran, 2025. "Adaptive distributed unknown input observer for linear systems," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    11. Xiaole Xu & Lixin Gao, 2016. "Intermittent observer-based consensus control for multi-agent systems with switching topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(8), pages 1891-1904, June.
    12. Xianyong Zhang & Yaohong Huang & Li Li & Wei-Chang Yeh, 2018. "Power and Capacity Consensus Tracking of Distributed Battery Storage Systems in Modular Microgrids," Energies, MDPI, vol. 11(6), pages 1-25, June.
    13. Wu, Zhihai & Peng, Li & Xie, Linbo & Wen, Jiwei, 2013. "Stochastic bounded consensus tracking of leader–follower multi-agent systems with measurement noises based on sampled-data with small sampling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 918-928.
    14. He, Xiaoyan & Wang, Qingyun & Yu, Wenwu, 2015. "Finite-time distributed cooperative attitude tracking control for multiple rigid spacecraft," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 724-734.
    15. Zhang, Jiangbo & Hong, Yiguang, 2013. "Opinion evolution analysis for short-range and long-range Deffuant–Weisbuch models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(21), pages 5289-5297.
    16. Xi, Lei & Yu, Tao & Yang, Bo & Zhang, Xiaoshun & Qiu, Xuanyu, 2016. "A wolf pack hunting strategy based virtual tribes control for automatic generation control of smart grid," Applied Energy, Elsevier, vol. 178(C), pages 198-211.
    17. Wu, Jie & Deng, Qun & Han, Tao & Yang, Qing-Sheng & Zhan, Heng, 2019. "Bipartite tracking consensus for multi-agent systems with Lipschitz-Type nonlinear dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1360-1369.
    18. Sun, Yu & Hu, Cheng & Yu, Juan, 2025. "Pinning passivity and bipartite synchronization of fractional signed networks without gauge transformation," Applied Mathematics and Computation, Elsevier, vol. 486(C).
    19. Mo, Lipo & Niu, Yuguang & Pan, Tingting, 2015. "Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 132-140.
    20. Jian, Long & Hu, Jiangping & Wang, Jun & Shi, Kaibo, 2019. "Distributed event-triggered protocols with Kx-functional observer for leader-following multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3117-:d:1492642. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.