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Distributed robust anti-interference Nash equilibrium search for second-order multi-agent systems and its application

Author

Listed:
  • Chen, Yong
  • Hao, Bowen
  • Niu, Fuxi
  • Li, Jiarui
  • Nian, Xiaohong
  • Hou, Hailiang

Abstract

This paper focuses on achieving a distributed Nash equilibrium while accounting for both matched and mismatched disturbances. It introduces an algorithm that relies on disturbance estimation and a distributed feedforward controller. The algorithm is mainly divided into two parts. The first part is to design effective disturbance observers for different types of disturbances, and the second part is to design distributed feedforward feedback control algorithm utilizing these disturbance observations. By employing this algorithm, the agents’ states ultimately converge to Nash equilibrium points. The convergence of the algorithm is proved by the input state stability criterion and Lyapunov stability analysis. Finally, a numerical simulation and experimental scenario were designed to verify the effectiveness of the algorithm.

Suggested Citation

  • Chen, Yong & Hao, Bowen & Niu, Fuxi & Li, Jiarui & Nian, Xiaohong & Hou, Hailiang, 2026. "Distributed robust anti-interference Nash equilibrium search for second-order multi-agent systems and its application," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 240(C), pages 571-588.
    • Handle: RePEc:eee:matcom:v:240:y:2026:i:c:p:571-588
    DOI: 10.1016/j.matcom.2025.07.042
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