Nash Equilibrium Seeking for a Class of Uncertain Nonlinear Multi-Agent Systems

This paper is focused on the Nash equilibrium seeking problem for a class of high-order multi-agent systems perturbed by some static uncertainties. By an embedded design, we convert the problem into some decentralized robust stabilization subproblems and conduct an internal model-based design to rem...

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Bibliographic Details
Main Authors: Tang, Yutao, Zheng, Xianxian
Format: Conference Proceeding
Language:English
Subjects:
Couplings
distributed control
embedded design
Games
internal model
Nash equilibrium
Nonlinear systems
Numerical models
Uncertainty
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Summary:This paper is focused on the Nash equilibrium seeking problem for a class of high-order multi-agent systems perturbed by some static uncertainties. By an embedded design, we convert the problem into some decentralized robust stabilization subproblems and conduct an internal model-based design to remove existing linearly parameterized condition on the uncertainties. The outputs of agents are proven to reach the expected Nash equilibrium of the noncooperative game across the whole multi-agent system. We also present a numerical example to illustrate our algorithm.
ISSN:2161-2927
DOI:10.23919/CCC58697.2023.10240305