Distributed Nash Equilibrium Seeking for General Networked Games With Bounded Disturbances

doi:10.1109/JAS.2022.105428

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	Distributed Nash Equilibrium Seeking for General Networked Games With Bounded Disturbances
	Maojiao Ye; Danhu Li; Qing-Long Han; Lei Ding
刊名	IEEE/CAA Journal of Automatica Sinica
	2023
卷号	10 期号:2 页码:376-387
关键词	Distributed networks disturbance rejection Nash equilibrium networked games
ISSN号	2329-9266
DOI	10.1109/JAS.2022.105428
英文摘要	This paper is concerned with anti-disturbance Nash equilibrium seeking for games with partial information. First, reduced-order disturbance observer-based algorithms are proposed to achieve Nash equilibrium seeking for games with first-order and second-order players, respectively. In the developed algorithms, the observed disturbance values are included in control signals to eliminate the influence of disturbances, based on which a gradient-like optimization method is implemented for each player. Second, a signum function based distributed algorithm is proposed to attenuate disturbances for games with second-order integrator-type players. To be more specific, a signum function is involved in the proposed seeking strategy to dominate disturbances, based on which the feedback of the velocity-like states and the gradients of the functions associated with players achieves stabilization of system dynamics and optimization of players’ objective functions. Through Lyapunov stability analysis, it is proven that the players’ actions can approach a small region around the Nash equilibrium by utilizing disturbance observer-based strategies with appropriate control gains. Moreover, exponential (asymptotic) convergence can be achieved when the signum function based control strategy (with an adaptive control gain) is employed. The performance of the proposed algorithms is tested by utilizing an integrated simulation platform of virtual robot experimentation platform (V-REP) and MATLAB.
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/50852]
专题	自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica
推荐引用方式 GB/T 7714	Maojiao Ye,Danhu Li,Qing-Long Han,et al. Distributed Nash Equilibrium Seeking for General Networked Games With Bounded Disturbances[J]. IEEE/CAA Journal of Automatica Sinica,2023,10(2):376-387.
APA	Maojiao Ye,Danhu Li,Qing-Long Han,&Lei Ding.(2023).Distributed Nash Equilibrium Seeking for General Networked Games With Bounded Disturbances.IEEE/CAA Journal of Automatica Sinica,10(2),376-387.
MLA	Maojiao Ye,et al."Distributed Nash Equilibrium Seeking for General Networked Games With Bounded Disturbances".IEEE/CAA Journal of Automatica Sinica 10.2(2023):376-387.