Prescribed-time practical scaled consensus of multiagent systems via time-based generator approach
Articles
Chunxia Zhu
Xinjiang University
Zhiyong Yu
Xinjiang University
Haijun Jiang
Xinjiang University
Published 2025-03-28
https://doi.org/10.15388/namc.2025.30.40011
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Keywords

prescribed-time practical scaled consensus
time-based generator
directed network
multiagent systems

How to Cite

Zhu, C., Yu, Z. and Jiang, H. (2025) “Prescribed-time practical scaled consensus of multiagent systems via time-based generator approach”, Nonlinear Analysis: Modelling and Control, 30, pp. 1–18. doi:10.15388/namc.2025.30.40011.

Abstract

In this paper, we consider the leaderless and leader-following practical scaled consensus problems of multiagent systems (MASs). To achieve leaderless practical scaled consensus, a distributed control protocol is introduced that incorporates with an innovative time-based generator (TBG). Under this protocol, all agents achieve practical scaled consensus within the prescribed-time frame while providing a precise estimation of the practical error. To fulfill practical requirements, we devise two leader-following scaled consensus protocols for both directed detail-balanced graphs and general directed networks. Furthermore, a comprehensive analysis for the convergence of MASs is given by employing the Lyapunov stability theory. Finally, the effectiveness and feasibility of the proposed theoretical results are verified.

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