Event-Triggered Asynchronous Quasi-Zero-Sum Games for Heterogeneous Multiagent Systems Under Nonlinear Disturbances

This paper investigates the cooperative control of heterogeneous networked multiagent systems (MASs) in the presence of unknown nonlinear disturbances through one novel event-triggered asynchronous quasizero-sum game (ET-AQZSG) scheme. The individuals in the MASs are divided into principals and agents on the basis of their respective state values. A sufficient condition is established to prevent Zeno behavior in the ET-AQZSG scheme, ensuring its practical applicability. Additionally, a separable nonlinear functions (SNLFs) is proposed for assessing global stability. By leveraging norm inequalities and ordinary differential equations, a set of slackness conditions is formulated to ensure both feasibility and solution accuracy and promote convergence to the optimal solution. The proposed approach enhances communication flexibility without compromising computational efficiency. Finally, two numerical examples based on the topology of an electromagnetic actuator system and the topology of IEEE 39-Bus system are presented to demonstrate the efficacy of the ET-AQZSG scheme.