Prescribed-Time Consensus of Multi-Agent Systems with Distributed Time-Varying Dynamic Event-Triggered Strategy

In this paper, the prescribed-time consensus control problem for multi-agent systems under undirected communication topology is considered. First, in order to save communication resource among agents, a dynamic event-triggered mechanism based on intermittent communication strategy is proposed. Additionally, the triggering conditions can be evaluated without real-time monitoring of neighboring agents' states and the communication resources of the whole closed-system can be greatly reduced. Then, a distributed control protocol based on a time-varying gain formulated by the parametric Lyapunov equation is presented to achieve the prescribed-time consensus control. Furthermore, the expression of the minimum inter-event time which has a strict positive lower bound is derived. Finally, the feasibility of the designed control method is validated through simulation results.