图形博弈框架下Lipschitz非线性系统的分布式控制

IF 2.3 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IET Control Theory and Applications Pub Date : 2025-09-18 DOI:10.1049/cth2.70075

Long Zhang, Zhuo Zhang, Hamid Reza Karimi, Shouxu Zhang, Rongxin Cui, Weisheng Yan, Jun Zhang

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引用次数: 0

摘要

研究了有向图上具有Lipschitz非线性动力学的多智能体系统的图形博弈问题。首先，提出了一种分布式最优控制策略，以保证leader- follower的一致性。然后，在图形博弈框架下设计了一个改进的代价函数，使其权重矩阵时变并依赖于Lipschitz非线性，从而得到全局纳什均衡；最后进行了仿真研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework

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Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework

This paper studies the graphical game for multi-agent systems with Lipschitz nonlinear dynamics over directed graphs. First, a distributed optimal control policy is presented to ensure the leader-following consensus. Then, a modified cost function in the framework of graphical games is designed such that the weighting matrix is time-varying and relies on the Lipschitz nonlinearity, leading to the global Nash equilibrium. A simulation study is finally provided.

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来源期刊

IET Control Theory and Applications 工程技术-工程：电子与电气

CiteScore

5.70

自引率

7.70%

发文量

167

审稿时长

5.1 months

期刊介绍： IET Control Theory & Applications is devoted to control systems in the broadest sense, covering new theoretical results and the applications of new and established control methods. Among the topics of interest are system modelling, identification and simulation, the analysis and design of control systems (including computer-aided design), and practical implementation. The scope encompasses technological, economic, physiological (biomedical) and other systems, including man-machine interfaces. Most of the papers published deal with original work from industrial and government laboratories and universities, but subject reviews and tutorial expositions of current methods are welcomed. Correspondence discussing published papers is also welcomed. Applications papers need not necessarily involve new theory. Papers which describe new realisations of established methods, or control techniques applied in a novel situation, or practical studies which compare various designs, would be of interest. Of particular value are theoretical papers which discuss the applicability of new work or applications which engender new theoretical applications.