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Time-varying dynamic event-triggered-based prescribed-time leader-following consensus for multi-agent systems with input saturation

Author

Listed:
  • Li, Meilin
  • Long, Yue
  • Zhang, Kai
  • Li, Tieshan

Abstract

This paper is concerned with prescribed-time leader-following consensus tracking for multi-agent systems subject to input saturation and limited resources under directed topology. A time-varying dynamic event-triggered-based prescribed-time approach is proposed to realize the consensus tracking in preset time. First, a novel dynamic event-triggered mechanism based on time-varying parameter is designed to further reduce actuator losses and computational resource usage. Second, a bounded protocol based on prescribed-time is proposed to ensure consensus tracking of the controlled system within the preset time, while keeping the control input within the saturation threshold. Third, the expression of the minimum inter-event time is derived based on the special properties of the parametric Lyapunov equation. The derived expression exhibits a straightforward and clear relationship with the system matrix, and no Zeno phenomenon occurs in the closed-system. Finally, the validity of the design method is verified by several inverted pendulum systems.

Suggested Citation

  • Li, Meilin & Long, Yue & Zhang, Kai & Li, Tieshan, 2026. "Time-varying dynamic event-triggered-based prescribed-time leader-following consensus for multi-agent systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    • Handle: RePEc:eee:apmaco:v:508:y:2026:i:c:s009630032500356x
    DOI: 10.1016/j.amc.2025.129630
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    References listed on IDEAS

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    1. Ma, Zhihan & Tang, Ze & Feng, Jianwen & Ding, Dong, 2024. "Distributed formation containment control for multi-agent systems via dynamic event-triggering communication mechanism," Applied Mathematics and Computation, Elsevier, vol. 482(C).
    2. Zhao, Can & Liu, Xinzhi & Zhong, Shouming & Shi, Kaibo & Liao, Daixi & Zhong, Qishui, 2021. "Leader-following consensus of multi-agent systems via novel sampled-data event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    3. Chang, Beibei & Zhu, Chuanxi, 2022. "Edge-based dynamic event-triggered mean square consensus control for stochastic multi-agent systems under weight-balanced digraph," Applied Mathematics and Computation, Elsevier, vol. 428(C).
    4. 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).
    Full references (including those not matched with items on IDEAS)

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