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Bipartite leader-following consensus of linear multi-agent systems with unknown disturbances under directed graphs by double dynamic event-triggered mechanism

Author

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  • Cai, Yuliang
  • Wang, Youtong
  • Su, Hanguang
  • Fu, Lianyan
  • He, Qiang

Abstract

This paper addresses the bipartite leader-following consensus problem for general linear multi-agent systems (MASs) with unknown disturbances under directed communication topology. A novel control strategy is proposed to effectively mitigate disturbances and reduce unnecessary triggering actions, thereby conserving resources. The strategy consists of double dynamic event-triggered mechanisms (DDETM) that operate independently: one governs inter-agent communication, while the other determines controller updates. To prevent Zeno behavior, additional constants are introduced into the triggering mechanisms. Moreover, a simplified parameter selection method is developed, eliminating the need for verifying solutions to specific matrix inequalities. Finally, comprehensive simulation experiments are conducted to demonstrate the effectiveness and practicality of the proposed approach.

Suggested Citation

  • Cai, Yuliang & Wang, Youtong & Su, Hanguang & Fu, Lianyan & He, Qiang, 2025. "Bipartite leader-following consensus of linear multi-agent systems with unknown disturbances under directed graphs by double dynamic event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 496(C).
    • Handle: RePEc:eee:apmaco:v:496:y:2025:i:c:s0096300325000748
    DOI: 10.1016/j.amc.2025.129347
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    References listed on IDEAS

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    1. Wu, Meng & Wu, Li-Bing & Wang, Pu, 2024. "Event-triggered adaptive leaderless consensus control for nonlinear multi-agent systems with unknown dead-zones and output constraints," Applied Mathematics and Computation, Elsevier, vol. 469(C).
    2. 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).
    3. Wenyu Wu & Huaicheng Yan & Yuan Wang & Zhichen Li & Meng Wang, 2024. "Fixed time cluster consensus for nonlinear multiagent systems by double dynamic event-triggered mechanisms," International Journal of Systems Science, Taylor & Francis Journals, vol. 55(16), pages 3322-3336, December.
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