Intermittent Predefined-Time Nash Equilibrium Seeking via Event-Triggered Communication

This article develops a new observer-based practical predefined-time distributed Nash equilibrium seeking (DNES) algorithm for a network of players in noncooperative games under aperiodically intermittent control (AIC). The proposed intermittent controller is designed in an aperiodic manner, offering a broader applicability compared with the existing periodically intermittent controllers. Considering the players with uncertain disturbances, a disturbance observer is established, which facilitates the development of the practical predefined-time DNES algorithm. The proposed predefined-time control algorithm can ensure the convergence of the players’ actions within an adjustable neighborhood around the Nash equilibrium in a prespecified time, regardless of the initial states and control parameters. Moreover, the dynamic event-triggered communication scheme is employed, allowing players to exchange information only when the triggering condition is satisfied, thereby reducing the communication burden. In addition, the Zeno behavior is excluded. Finally, a simulation example of connected automated ground vehicles is provided to demonstrate the theoretical results.