Clustered Event-Triggered Consensus Analysis: An Impulsive Framework

This paper proposes an impulsive framework to analyze the effect of the clustered event-triggered information transmission on the dynamics of multiagent systems. Under this framework, we study three cases and propose different types of event-triggered protocols. First, if agents' states are available, a clustered event-triggered protocol based on agents' states is designed, which guarantees all followers to track the leader eventually. Second, the first case is further investigated when the agents' states are under disturbance. Hence, a modified event-triggered protocol is introduced to reach L_∞ leader-following consensus. Third, for the case where agents' states are not available, a clustered event-triggered observer-type protocol is developed based on the agents' outputs. It is worth noting that Zeno behavior is excluded in these cases. Finally, some numerical examples and an application of unmanned aerial vehicle helicopters are given to verify our theoretical analysis.