Distributed adaptive Nash equilibrium seeking in high-order multiagent systems under time-varying unknown disturbances

IF 3.7 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-12 DOI:10.1016/j.jfranklin.2025.107639
Shengli Du , Tianli Xu , Xue-Fang Wang , Honggui Han , Junfei Qiao
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Abstract

This paper aims to tackle two complex challenges in achieving the Nash equilibrium for high-order multiagent systems with unknown disturbances: addressing the interconnection issues arising from the high-order systems, and mitigating the oscillations caused by time-varying unknown disturbances. To address such challenges, we develop a distributed adaptive Nash equilibrium seeking algorithm utilizing a novel state observer comprising the gradient play theory, the leader-following consensus protocol, and the error sign function. This new approach not only achieves the seeking of the Nash equilibrium but also effectively accomplishes the goal of disturbance suppression. The superiority of the proposed strategy over the existing seeking schemes lies in adopting adaptive feedback in the strategy design process. The asymptotic seeking of the Nash equilibrium is then proved by using the input-to-state stability theorem and Barbalat lemma, and sufficient conditions ensuring the convergence are developed. Three simulations consisting of robots with mobile sensor networks, the three-order multiagent system, and the energy competition within power generation systems are conducted to illustrate the effectiveness of the proposed method.
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来源期刊
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.
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