Event-Based Leader-Follower Consensus for Linear Multi-Agent Systems with Adaptive Weighting under Directed Communication Topologies

In this paper, a novel distributed event-triggered scheme is proposed to solve the problem of the leader-following consensus for a class of multi-agent systems with linear dynamics under directed topology. At first, a sufficient condition of the leader-following consensus for multi-agent systems based on the distributed event-trigger controller is presented. Furthermore, we proof the multi-agent system can achieve consensus with the proposed distributed event-triggered control protocols and can exclude the Zeno behavior. Finally, We have applied the designed event-triggered communication strategy and controller to vehicle platooning, and the effectiveness and efficiency of the proposed approach is simulated in the prescan.