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Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols

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Listed:
  • Guo, Wanli
  • He, Wennuo
  • Shi, Lili
  • Sun, Wen
  • Lu, Xiaoqing

Abstract

This paper studies the fixed-time consensus tracking (FixCT) problem for nonlinear stochastically disturbed multi-agent systems (MASs) in detail balanced graphs. Two novel and simple discontinuous control protocols are developed to facilitate consensus tracking in a fixed time. By using differential inclusions and the stochastic stability theory, rigorous consensus tracking proofs are provided; moreover, upper bounds of the settling time irrelevant to initial conditions are explicitly estimated. A numerical example is presented to corroborate the effectiveness of the proposed protocols.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:400:y:2021:i:c:s0096300321000941
    DOI: 10.1016/j.amc.2021.126046
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    References listed on IDEAS

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    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.
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    3. Zongyu Zuo & Lin Tie, 2016. "Distributed robust finite-time nonlinear consensus protocols for multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1366-1375, April.
    4. Zhao, Lin & Jia, Yingmin, 2015. "Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 278-290.
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    Cited by:

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