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 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.