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Research Article | Open Access

Finite-time formation control for multi-agent systems with dynamic leader and input saturation

Wenjie Li1Xiangyong Chen1,2Ling Ji3( )Jinming Song1Shuo Li1
School of Automation and Electrical Engineering, Linyi University, Linyi 276005, China
School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China
School of Logistics, Linyi University, Linyi 276005, China
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Abstract

In this paper, the problem of finite-time control for a group of quadrotor aircraft with an unknown input-saturation structure is investigated. Based on backstepping design, finite-time formation control algorithm is designed. Within the multi-agent systems, leaders are tasked with achieving formation consensus with an external leader. Concurrently, for the followers, a leader-follower consensus controller incorporating the dynamic leader's input is developed utilizing adaptive strategies and low-gain techniques. Thus, a hierarchical formation is achieved where leaders track the exogenous leader, followers maintain consensus with their leaders, accomplishing complex multi-unmanned aerial vehicle formation tasks.

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Electronic Research Archive
Pages 7699-7716

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Cite this article:
Li W, Chen X, Ji L, et al. Finite-time formation control for multi-agent systems with dynamic leader and input saturation. Electronic Research Archive, 2025, 33(12): 7699-7716. https://doi.org/10.3934/era.2025340

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Received: 04 November 2025
Revised: 06 December 2025
Accepted: 15 December 2025
Published: 22 December 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)