Distributed Consensus Control for General Linear Multi-agent Systems via a Dynamic Event-triggered Strategy

Abstract

This paper puts forward a distributed dynamic event-triggered strategy to solve the distributed event-triggered consensus problem of linear multi-agent systems under directed graphs. Based on dynamic triggering function, each agent can reach consensus asymptotically. Different from existing static triggering schemes, the proposed dynamic triggering scheme, where an internal dynamic variable is involved, results in larger inter-event times and also leads to less communication overheads among agents, which is conducive to guaranteeing that Zeno behavior is excluded for each agent. In addition, under the proposed strategy, neither controller updates nor triggering threshold detections require continuous communication. Finally, the effectiveness of the theoretical analysis is demonstrated by numerical simulations.