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

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  • Chen, Yong
  • Li, Jiarui
  • Sun, Miaoping
  • Niu, Fuxi

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.

Suggested Citation

  • Chen, Yong & Li, Jiarui & Sun, Miaoping & Niu, Fuxi, 2024. "Robust distributed Nash equilibrium seeking for high-order systems with disturbances and coupling constraints," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    • Handle: RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002650
    DOI: 10.1016/j.amc.2024.128804
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    References listed on IDEAS

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    1. Cheng, Ling & Zhang, Sirui & Wang, Yingchun, 2024. "Distributed optimal capacity allocation of integrated energy system via modified ADMM," Applied Mathematics and Computation, Elsevier, vol. 465(C).
    2. Le Thi, Hoai An & Ta, Anh Son & Pham Dinh, Tao, 2018. "An efficient DCA based algorithm for power control in large scale wireless networks," Applied Mathematics and Computation, Elsevier, vol. 318(C), pages 215-226.
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