Robust distributed Nash equilibrium solution for multi-agent differential graphical games

IF 2.2 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS IET Control Theory and Applications Pub Date : 2024-06-24 DOI:10.1049/cth2.12687
Shouxu Zhang, Zhuo Zhang, Rongxin Cui, Weisheng Yan
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Abstract

This paper studies the differential graphical games for linear multi-agent systems with modelling uncertainties. A robust optimal control policy that seeks the distributed Nash equilibrium solution and guarantees the leader-following consensus is designed. The weighting matrices rely on modelling uncertainties, leading to the Nash equilibrium solution, and the solution can be obtained by solving a decoupled algebraic Riccati equation. Simulation studies are finally reported to illustrate the effectiveness of proposed policy.

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本文研究了具有建模不确定性的线性多代理系统的微分图形博弈。本文设计了一种稳健的最优控制策略,该策略寻求分布式纳什均衡解,并保证领导者与跟随者之间达成共识。权重矩阵依赖于建模不确定性,从而导致纳什均衡解,该解可通过求解解耦代数里卡提方程获得。最后报告了模拟研究,以说明建议政策的有效性。
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来源期刊
IET Control Theory and Applications
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.
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