Fixed-Time Leader-Follower Consensus for Multi-agent Systems Under Event-Triggered Mechanism

This paper investigates fixed-time event-triggered control of leader-follower consensus for the first-order multi-agents system(MASs). Firstly, to address the problem of fast convergence of the MASs, this paper designs a fixed-time distributed controller, which enables the consensus of the MASs to converge in setting time, the settling time for achieving consensus in the system is independent of the initial conditions and depends solely on the parameters of the designed controller. Secondly, for the continuous communication of the MASs, this paper designs an event-triggered control(ETC) strategy to reduce the communication resources of the system. And the verification of the Zeno behavior in the excluded system is given. Finally, the validity of the proposed theory is verified by numerical simulation.