IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v586y2022ics0378437121007238.html
   My bibliography  Save this article

Adaptive dynamic event-triggered control for multi-agent systems with matched uncertainties under directed topologies

Author

Listed:
  • Ruan, Xiaoli
  • Xu, Chen
  • Feng, Jianwen
  • Wang, Jingyi
  • Zhao, Yi

Abstract

This paper deals with the consensus problem of linear multi-agent systems (MASs) with matched uncertainties on directed topologies via a dynamic event-triggered control. To reduce the redundant communication, a distributed dynamic event-triggered (DET) protocol with a dynamic threshold is proposed, which makes the average time interval of controller update have a positive lower bound. The Zeno behavior can also be excluded. Furthermore, to avoid the assuming availability of full state information, an observer-based adaptive dynamic event-triggered (ADET) protocol is introduced. The proposed adaptive σ-modification technique for the time-varying coupling gain can render smaller control gain and achieve better regulatory effects. Compared with the existing DET scheme, the dynamic threshold with a positive lower bound can reach consensus with larger inter-execution times and less communication energy among agents. By using the Riccati equation and inequality techniques, some simple and convenient sufficient conditions are derived to guarantee the stability of the closed-loop system. Finally, two numerical examples are given to verify the effectiveness of the obtained theoretical results.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:phsmap:v:586:y:2022:i:c:s0378437121007238
    DOI: 10.1016/j.physa.2021.126450
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437121007238
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2021.126450?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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. Jingyi Wang & Danqi Liu & Jianwen Feng & Yi Zhao, 2023. "Distributed Optimization Control for Heterogeneous Multiagent Systems under Directed Topologies," Mathematics, MDPI, vol. 11(6), pages 1-16, March.
    2. Zheng, Ying & Wu, Yayong & Jiang, Guo-Ping, 2024. "Exploring synchronizability of complex dynamical networks from edges perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    3. Xu, Bingchu & Yang, Yongqing, 2022. "Group consensus of nonlinear multiagent system with switching topology under DoS attacks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).
    4. Xiaoli Ruan & Jiayi Cai & Zhaojing Wang & Chen Wang & Huali Yang, 2023. "Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems," Mathematics, MDPI, vol. 11(13), pages 1-16, June.

    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. 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.
    2. 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.
    3. 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).
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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).
    12. 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.
    13. Hongwei Jia & Jun Zhao, 2016. "Output regulation of switched linear multi-agent systems: an agent-dependent average dwell time method," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2510-2520, August.
    14. Shoubo Jin & Guanghui Zhang, 2023. "Adaptive Consensus of the Stochastic Leader-Following Multi-Agent System with Time Delay," Mathematics, MDPI, vol. 11(16), pages 1-18, August.
    15. Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang & Ren, Guojian, 2021. "Containment control of fractional discrete-time multi-agent systems with nonconvex constraints," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    16. 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).
    17. 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.
    18. 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).
    19. 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).
    20. 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.

    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:eee:phsmap:v:586:y:2022:i:c:s0378437121007238. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.