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Fixed-time consensus for multi-agent systems with discontinuous inherent dynamics over switching topology

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  • Boda Ning
  • Jiong Jin
  • Jinchuan Zheng

Abstract

This paper is concerned with the fixed-time consensus problem of multi-agent systems. Unlike conventional consensus-based investigations, where nonlinear inherent dynamics satisfying the Lipschitz continuous condition is assumed or simply no inherent dynamics is involved for each agent, we are dealing with a more general case: agents with discontinuous nonlinear inherent dynamics. By using non-smooth analysis and fixed-time stability techniques, distributed protocols are proposed to achieve the fixed-time consensus over fixed and switching topology. Then, for a class of linear multi-agent systems, a new distributed controller is proposed to further reduce the calculation cost while achieving the agreement. A distinctive feature of the work is that the estimation of settling time for consensus is independent of initial states of agents, which provides flexibility for applications implemented in unknown environment. Finally, numerical simulations are given to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Boda Ning & Jiong Jin & Jinchuan Zheng, 2017. "Fixed-time consensus for multi-agent systems with discontinuous inherent dynamics over switching topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2023-2032, July.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2023-2032
    DOI: 10.1080/00207721.2017.1308579
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    Cited by:

    1. 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).

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