Fixed-Time Resilient Distributed NE Seeking Control for Nonlinear MASs Against DoS Attacks

In this article, the fixed-time resilient distributed Nash equilibrium (NE) control problem is addressed for nonlinear multiagent systems (MASs) under denial-of-service (DoS) attacks. Unlike existing results on NE seeking in noncooperative games, this article first investigates the layered fixed-time resilient distributed NE control problem for nonlinear MASs against DoS attacks, independent of initial conditions. To address these challenges, the novel layered NE control strategy is proposed, comprising a resilient fixed-time distributed NE seeking algorithm layer, an improved fixed-time performance enhancement layer, and an adaptive controller design layer. Specifically, a fixed-time resilient distributed NE seeking algorithm is first designed to guarantee players actions to converge toward the NE against DoS attacks. Then, novel high-order fixed-time filters are proposed to generate improved actions with smooth characteristics and converge to the actions in the aforementioned fixed-time algorithm. Based on the developed filters, a decentralized fuzzy adaptive controller is developed to achieve bounded tracking within the fixed time using the backstepping technique. Finally, a numerical simulation is conducted to validate the efficacy of the developed method.