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

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...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 477; p. 128804
Main Authors Chen, Yong, Li, Jiarui, Sun, Miaoping, Niu, Fuxi
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.09.2024
Subjects
Disturbances
Equality constraints
High-order systems
Nash equilibrium
High-order systems
Nash equilibrium
Equality constraints
Disturbances
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ISSN0096-3003
DOI10.1016/j.amc.2024.128804

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Summary: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. •The article examines more complex higher-order dynamic systems.•The article considers both external disturbances and coupling equation constraints.•No need to know the specific model of the disturbance.
ISSN:0096-3003
DOI:10.1016/j.amc.2024.128804