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Finite-time consensus for leader-following second-order multi-agent system

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  • Fenglan Sun
  • Zhi-Hong Guan

Abstract

The finite-time consensus problems of second-order multi-agent system under fixed and switching network topologies are studied in this article. Based on the graph theory, LaSalle's invariance principle and the homogeneity with dilation, the finite-time consensus protocol of each agent using local information is designed. The leader-following finite-time consensus is analysed in detail. Moreover, some examples and simulation results are given to illustrate the effectiveness of the obtained theoretical results.

Suggested Citation

  • 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.
  • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:4:p:727-738
    DOI: 10.1080/00207721.2011.618641
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.

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