Robust distributed Nash equilibrium solution for multi-agent differential graphical games

Shouxu Zhang, Zhuo Zhang, Rongxin Cui, Weisheng Yan

Research output: Contribution to journalArticlepeer-review

Abstract

This paper studies the differential graphical games for linear multi-agent systems with modelling uncertainties. A robust optimal control policy that seeks the distributed Nash equilibrium solution and guarantees the leader-following consensus is designed. The weighting matrices rely on modelling uncertainties, leading to the Nash equilibrium solution, and the solution can be obtained by solving a decoupled algebraic Riccati equation. Simulation studies are finally reported to illustrate the effectiveness of proposed policy.

Original languageEnglish
Pages (from-to)2813-2822
Number of pages10
JournalIET Control Theory and Applications
Volume18
Issue number18
DOIs
StatePublished - Dec 2024

Keywords

  • differential games
  • distributed control
  • multi-agent systems
  • robust control
  • uncertain systems

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