IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v295y2017icp65-76.html
   My bibliography  Save this article

Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances

Author

Listed:
  • He, Xiaoyan
  • Wang, Qingyun

Abstract

We study the finite-time consensus control of double-integrator multi-agent systems with external bounded disturbances under the fixed leaderless network communication topology. Based on the relative position and the relative velocity information, a novel finite-time consensus protocol is constructed. By using the Lyapnuov finite-time theory, it is shown that the proposed protocol can coordinate the states of agents to guarantee the finite-time consensus under an undirected connected topology. And then we extend the results onto the strongly connected directed communication topology. Importantly, the finite convergence time of the leaderless systems is explicitly presented. Finally, the effectiveness of the results is illustrated by numerical simulation.

Suggested Citation

  • He, Xiaoyan & Wang, Qingyun, 2017. "Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 65-76.
    • Handle: RePEc:eee:apmaco:v:295:y:2017:i:c:p:65-76
    DOI: 10.1016/j.amc.2016.10.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S009630031630604X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2016.10.006?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. He, Xiaoyan & Wang, Qingyun & Yu, Wenwu, 2015. "Distributed finite-time containment control for second-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 509-521.
    2. 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.
    3. Fenglan Sun & Zhi-Hong Guan, 2013. "Finite-time consensus for leader-following second-order multi-agent system," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 727-738.
    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. Fan, Ming-Can & Wu, Yue, 2018. "Global leader-following consensus of nonlinear multi-agent systems with unknown control directions and unknown external disturbances," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 274-286.
    2. Zhao, Lin & Yu, Jinpeng & Lin, Chong & Yu, Haisheng, 2017. "Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 23-35.
    3. Long, Mingkang & Su, Housheng & Liu, Bo, 2019. "Second-order controllability of two-time-scale multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 299-313.
    4. Wang, Xin & Su, Housheng, 2019. "Consensus of hybrid multi-agent systems by event-triggered/self-triggered strategy," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 490-501.
    5. Fu, Baozeng & Li, Shihua & Yang, Jun & Guo, Lei, 2018. "Global output regulation for a class of single input Port-controlled Hamiltonian disturbed systems," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 322-331.
    6. Gao, Shuo & Wen, Guoguang & Zhai, Xiaoqin & Zheng, Peng, 2023. "Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    7. Fan, Yanyan & Jin, Zhenlin & Luo, Xiaoyuan & Guo, Baosu, 2022. "Robust finite-time consensus control for Euler–Lagrange multi-agent systems subject to switching topologies and uncertainties," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    8. Zhang, Weijian & Du, Haibo & Chu, Zhaobi, 2022. "Robust discrete-time non-smooth consensus protocol for multi-agent systems via super-twisting algorithm," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    9. Cai, Yuliang & Zhang, Huaguang & Liu, Yang & He, Qiang, 2020. "Distributed bipartite finite-time event-triggered output consensus for heterogeneous linear multi-agent systems under directed signed communication topology," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    10. Li, Hongjie & Zhu, Yinglian & jing, Liu & ying, Wang, 2018. "Consensus of second-order delayed nonlinear multi-agent systems via node-based distributed adaptive completely intermittent protocols," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 1-15.

    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. He, Xiaoyan & Hao, Yuqing & Wang, Qingyun, 2019. "Leaderless finite-time consensus for second-order Lipschitz nonlinear multi-agent systems with settling time estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 280-289.
    2. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
    3. Xing, Ying & He, Xinyi & Li, Xiaodi, 2023. "Lyapunov conditions for finite-time stability of disturbed nonlinear impulsive systems," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    4. Lijing Dong & Senchun Chai & Baihai Zhang & Sing Kiong Nguang, 2016. "Sliding mode control for multi-agent systems under a time-varying topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2193-2200, July.
    5. H.J. Savino & F.O. Souza & L.C.A. Pimenta, 2016. "Consensus with guaranteed convergence rate of high-order integrator agents in the presence of time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2475-2486, July.
    6. Zi-Jiang Yang & Pan Qin, 2016. "Robust synchronisation tracking control of networked Euler–Lagrange systems using reference trajectory estimation based on virtual double-integrators," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2088-2099, July.
    7. Liu, Yifan & Su, Housheng, 2019. "Containment control of second-order multi-agent systems via intermittent sampled position data communication," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    8. Tianyu Yang & Bin Wang & Peng Chen, 2020. "Design of a Finite-Time Terminal Sliding Mode Controller for a Nonlinear Hydro-Turbine Governing System," Energies, MDPI, vol. 13(3), pages 1-14, February.
    9. Bin Hu & Zhi-Hong Guan & Rui-Quan Liao & Ding-Xue Zhang & Gui-Lin Zheng, 2015. "Consensus-based distributed optimisation of multi-agent networks via a two level subgradient-proximal algorithm," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1307-1318, May.
    10. He, Xiaoyan & Wang, Qingyun & Yu, Wenwu, 2015. "Distributed finite-time containment control for second-order nonlinear multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 509-521.
    11. Tian, Yuqiang & Wang, Bin & Chen, Peng & Yang, Ying, 2021. "Finite-time Takagi–Sugeno fuzzy controller design for hydraulic turbine governing systems with mechanical time delays," Renewable Energy, Elsevier, vol. 173(C), pages 614-624.
    12. Li, Zanhua & Chen, Xiangyong & Ding, Shihong & Liu, Yang & Qiu, Jianlong, 2020. "TCP/AWM network congestion algorithm with funnel control and arbitrary setting time," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    13. Guoguang Wen & Zhaoxia Peng & Ahmed Rahmani & Yongguang Yu, 2014. "Distributed leader-following consensus for second-order multi-agent systems with nonlinear inherent dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1892-1901, September.
    14. Du, Haibo & Yu, Bo & Wei, Jiajia & Zhang, Jun & Wu, Di & Tao, Weiqing, 2020. "Attitude trajectory planning and attitude control for quad-rotor aircraft based on finite-time control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    15. Du, Yingxue & Wang, Yijing & Zuo, Zhiqiang & Zhang, Wentao, 2022. "Event-triggered bipartite consensus for multi-agent systems subject to multiplicative and additive noises," Applied Mathematics and Computation, Elsevier, vol. 429(C).
    16. Zhang, Meijie & Yang, Xinsong & Xiang, Zhengrong & Liu, Xiaoyang, 2023. "Consensus of nonlinear MAS via double nonidentical mode-dependent event-triggered switching control," Applied Mathematics and Computation, Elsevier, vol. 453(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:eee:apmaco:v:295:y:2017:i:c:p:65-76. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.