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Fixed-time leader-following/containment consensus of nonlinear multi-agent systems based on event-triggered mechanism

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  • Cai, Yuliang
  • Dai, Jing
  • Zhang, Huaguang
  • Wang, Yingchun

Abstract

This study focuses on the fixed-time event-triggered leader-following consensus issue for nonlinear multi-agent system with uncertain disturbances. First, two distributed fixed-time controllers based on event-triggered mechanism are put forward to address this issue. Different from the existing finite-time control techniques, the proposed controller can guarantee that the settling time does not depend on the initial conditions and the continuous controller updates cannot be required. Moreover, compared with the existing fixed-time control methods, the fixed-time event-triggered tracking problem for multi-dimensional nonlinear multi-agent system with uncertain disturbances is considered for the first time in this paper. To avoid continuous communication among agents, a novel triggering mechanism is further proposed. Furthermore, the fixed-time event-triggered containment consensus with multiple leaders is considered. No agent exhibits the Zeno behavior in these two consensus issues. The effectiveness of main theoretical findings is demonstrated by two illustrative examples finally.

Suggested Citation

  • Cai, Yuliang & Dai, Jing & Zhang, Huaguang & Wang, Yingchun, 2021. "Fixed-time leader-following/containment consensus of nonlinear multi-agent systems based on event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    • Handle: RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308341
    DOI: 10.1016/j.amc.2020.125881
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    References listed on IDEAS

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    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.
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    4. Di Yu & Xiang Yang Ji, 2018. "Finite-time containment control of perturbed multi-agent systems based on sliding-mode control," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(2), pages 299-311, January.
    5. 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.
    6. Ping Wang & Yingmin Jia, 2016. "Robust containment control for uncertain multi-agent systems with inherent nonlinear dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(5), pages 1073-1083, April.
    7. 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).
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    Cited by:

    1. Zhu, Zhibin & Wang, Fuyong & Yin, Yanhui & Liu, Zhongxin & Chen, Zengqiang, 2022. "Distributed fault-tolerant containment control for a class of non-linear multi-agent systems via event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 430(C).
    2. Sheng, Li & Zhang, Sen & Gao, Ming, 2021. "Intermittent fault detection for linear discrete-time stochastic multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    3. Wang, Boyu & Zhang, Yijun & Wei, Miao, 2023. "Fixed-time leader-following consensus of multi-agent systems with intermittent control," Applied Mathematics and Computation, Elsevier, vol. 438(C).
    4. Li, Weihua & Zhang, Huaguang & Wang, Wei & Cao, Zhengbao, 2022. "Fully distributed event-triggered time-varying formation control of multi-agent systems subject to mode-switching denial-of-service attacks," Applied Mathematics and Computation, Elsevier, vol. 414(C).

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