Design of distributed adaptive event-triggered consensus control strategies with positive minimum inter-event times

This paper studies the design of distributed adaptive event-triggered control strategies with positive minimum inter-event times for linear multi-agent systems. To present our design idea, this paper focuses on the consensus problem of linear multi-agent systems defined on a fixed communication graph. In order to solve the consensus problem, a distributed adaptive event-triggered control strategy is proposed that consists of a distributed event-triggered adaptive control law and a distributed asynchronous event-triggering mechanism. It is shown that under the proposed event-triggered control strategy, the states of all agents asymptotically reach consensus via intermittent communication without using any global information of the communication graph. Moreover, using the proposed event-triggering mechanism, not only the exclusion of the Zeno behavior but also the existence of a uniform strictly positive minimum inter-event time is guaranteed for each agent. A simulation example demonstrates the effectiveness of the proposed event-triggered control strategy.