Fixed-time Leader-follower Consensus of Multi-agent Systems With Nonzero Leader's Control Input

The leader-follower consensus problem of first-order multi-agent systems with nonzero leader's control input and external disturbances is studied in this paper. By designing a novel fixed-time controller to solve consensus problem. The controller can better suppress external disturbance and non-zero leader's control input. Through fixed-time control strategy, each followers can achieve consensus with the leader at the setting time, the system achieves rapid stability, and the setting time is irrelevant of the initial state of the system. Finally, the effectiveness of the proposed controller is verified by a numerical simulation example.