A Distributed Event-Triggered Impulsive Control Strategy for the Fixed-Time Consensus of Leaderless Multi-agent System

This paper concerns the leaderless fixed-time consensus (LL FTC) problems for multi-agent systems (MASs) via event-triggered impulsive control, where the impulsive control time sequence is produced by event triggered mechanism. Both continuous control and periodic event-triggered control (ETC) are generated by continuous measuring and periodic sampling, respectively. To reach consensus for MASs, a brand-new fixed-time event-triggered impulsive control strategy is suggested that can significantly quicken convergence, obtain the lower energy consumption and decrease the update times of the controller. Then, a sufficient condition is presented to realize the LLFTC of MASs. Moreover, continuous communication and Zeno behavior are prevented by the suggested control protocol, which has been demonstrated. Finally, to show the event-triggered impulsive controller’s effectiveness, one numerical simulation is offered. It can be seen that the measurement error converges to zero in 1.8 s, the leaderless example can achieve consensus in 0.8–1 s. And the lower bound for the event interval time is 0.02 s, the maximum bound for the event interval time is 0.2 s,which means the ETC via impulsive control strategy obviously speed up controller update times.