具有无向和有向拓扑的不确定非线性多智能体系统的规定时间二部一致性控制

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-26 DOI:10.1016/j.jfranklin.2025.108108

Jian-Qiao Wang , Yan Wang

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引用次数: 0

摘要

研究了有向和无向拓扑下不确定非线性多智能体系统的定时二部一致问题。基于图论和参数Lyapunov方程，利用有界分布时变控制策略讨论了具有无向网络和切换网络的不确定非线性质量的两个PTBC判据。在此基础上，利用规定时间协议解决了强连通有向图下不确定非线性质量的PTBC问题，并进一步发展了包含生成树的有向图下质量的PTBC问题。最后，通过蔡氏电路和无人水面舰艇验证了所提控制策略的有效性。

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Prescribed-time bipartite consensus control for uncertain nonlinear multiagent systems with undirected and directed topologies

This paper presents the prescribed-time bipartite consensus (PTBC) problem of uncertain nonlinear multiagent systems (MASs) under undirected and directed topologies. Based on graph theory and the parametric Lyapunov equation, two PTBC criteria for uncertain nonlinear MASs with an undirected network and switching network are discussed by the bounded distributed time-varying control strategies. Moreover, the PTBC problem for uncertain nonlinear MASs under a strongly connected digraph is addressed using a prescribed-time protocol, and the PTBC problem for MASs under a digraph that contains a spanning tree is further developed. Finally, the effectiveness of the proposed control strategies is verified via Chua’s circuit and unmanned surface vessel.

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来源期刊

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.