Robust distributed Nash equilibrium seeking for high-order systems with disturbances and coupling constraints

Yong Chen, Jiarui Li, Miaoping Sun and Fuxi Niu

Applied Mathematics and Computation, 2024, vol. 477, issue C

Abstract: The objective of this article is to tackle the problem of distributed searching for generalized Nash equilibrium (GNE) for high-order multi-agent systems (MASs) that are subject to external disturbances and coupling constraints. To address disturbances and linear equality constraints while ensuring that high-order agents achieve the task of seeking a GNE, a novel approach has been developed that utilizes gradient descent algorithms, extended state observers, and state feedback control. By utilizing the proposed algorithm, the agents' behavior will ultimately converge to a small range around the GNE points. The proposed algorithm's effectiveness is validated through two numerical simulations.

Keywords: Nash equilibrium; High-order systems; Equality constraints; Disturbances (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002650

DOI: 10.1016/j.amc.2024.128804

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