Fast finite-time consensus protocol for high-order nonlinear multi-agent systems based on event-triggered communication scheme

Junsheng Zhao, Haina Zhao, Ying Song, Zong-Yao Sun and Dengxiu Yu

Applied Mathematics and Computation, 2026, vol. 508, issue C

Abstract: This paper proposes an adaptive fast finite-time tracking consensus protocol for high-order nonlinear multi-agent systems. To overcome the limitation of finite-time stability, where the convergence speed slows down when the initial state is far from the origin, the fast finite-time stability theory is incorporated into the multi-agent systems to ensure rapid convergence of the tracking error. Furthermore, the power integrator technique is integrated into the backstepping framework to address the inherent singularity issues in high-order systems. Meanwhile, neural networks are used as online approximators to model unknown nonlinear functions, with the tanh(⋅) function adopted to mitigate the impact of approximation errors effectively. The developed dynamic event-triggered controller can reduce the frequency of control updates, effectively saving communication resources. Finally, two simulation examples demonstrate the effectiveness of the proposed strategy.

Keywords: Fast finite-time control; High-order nonlinear multi-agent systems; Integral-type Lyapunov functions; Event-triggered mechanism; Tracking consensus protocol (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003571

DOI: 10.1016/j.amc.2025.129631

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