具有联合连接拓扑的非线性异构多智能体自适应分布式时变编队跟踪控制。

IF 2.1 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Entropy Pub Date : 2025-06-17 DOI:10.3390/e27060648
Ling Zhu, Yuyi Huang, Yandong Li, Hui Cai, Wei Zhao, Xu Liu, Yuan Guo
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引用次数: 0

摘要

研究了一类非线性多智能体系统的时变编队跟踪控制问题。针对领导者和追随者包含不同非线性项的异构系统,设计了一种避免全局非零最小特征值的分布式自适应控制器,该控制器仅依赖于相邻智能体之间的相对误差。采用Riccati不等式方法设计控制器中的自适应调整因子,解决仅根据局部信息自动调整相对误差的问题。不同于已有的拓扑固定和切换时变编队的研究,本文采用联合连通拓扑图的方法,使非线性follower能够跟踪具有不同非线性项的leader的运动轨迹,同时达到期望时变编队的控制目标。用李雅普诺夫稳定性证明方法证明了系统在联合连通图下的稳定性。最后,通过数值仿真实验验证了所提控制方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Lipschitz-Nonlinear Heterogeneous Multi-Agent Adaptive Distributed Time-Varying Formation-Tracking Control with Jointly Connected Topology.

This paper studies the problem of time-varying formation-tracking control for a class of nonlinear multi-agent systems. A distributed adaptive controller that avoids the global non-zero minimum eigenvalue is designed for heterogeneous systems in which leaders and followers contain different nonlinear terms, and which relies only on the relative errors between adjacent agents. By adopting the Riccati inequality method, the adaptive adjustment factor in the controller is designed to solve the problem of automatically adjusting relative errors based solely on local information. Unlike existing research on time-varying formations with fixed and switching topologies, the method of jointly connected topological graphs is adopted to enable nonlinear followers to track the trajectories of leaders with different nonlinear terms and simultaneously achieve the control objective of the desired time-varying formation. The stability of the system under the jointly connected graph is proved by the Lyapunov stability proof method. Finally, numerical simulation experiments confirm the effectiveness of the proposed control method.

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来源期刊
Entropy
Entropy PHYSICS, MULTIDISCIPLINARY-
CiteScore
4.90
自引率
11.10%
发文量
1580
审稿时长
21.05 days
期刊介绍: Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.
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