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Fixed-time consensus of leader-following multi-agent systems subject to failed follower: Reconstructed topology approach

Author

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  • Li, Hongchao
  • Niu, Guowei
  • Chen, Yining

Abstract

This paper considers fixed-time leader-following consensus of multi-agent systems subject to failed follower. Firstly, the issue is addressed for the system without failed follower, and an upper bound of the fixed-time, which is not affected by initial states, is derived. If a follower fails, it will lose the communication ability in the topology and impede its neighbors from obtaining the information regarding the failed follower. If its neighbors continue to use the last state of the failed follower, the remaining agents may be unable to achieve consensus. For such issue, the topology is reconstructed by removing the failed follower and reconnecting the neighbors of the failed follower to the remaining agents according to the position in topology. In sequel, fixed-time leader-following consensus is concerned applying reconstructed topology approach. Finally, theoretical results are verified by numerical simulations considering the cases with and without failed follower.

Suggested Citation

  • Li, Hongchao & Niu, Guowei & Chen, Yining, 2024. "Fixed-time consensus of leader-following multi-agent systems subject to failed follower: Reconstructed topology approach," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    • Handle: RePEc:eee:apmaco:v:482:y:2024:i:c:s0096300324004168
    DOI: 10.1016/j.amc.2024.128955
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    References listed on IDEAS

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    1. Xu, Jiahong & Wang, Lijie & Liu, Yang & Sun, Jize & Pan, Yingnan, 2022. "Finite-time adaptive optimal consensus control for multi-agent systems subject to time-varying output constraints," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Ma, Qian, 2017. "Cooperative control of multi-agent systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 240-252.
    3. Zhu, Fanglai & Du, Wenqing, 2024. "Observer-based consensus of multi-agent systems under odd distributed impulsive control protocol," Applied Mathematics and Computation, Elsevier, vol. 466(C).
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