Fixed-time Consensus of Multi-agent Systems Based on Sliding Mode Control

In this paper, the consensus tracking problem of first-order multi-agent systems under uncertain disturbances is studied. Firstly a state observer is designed to estimate the state of the multi-agent systems consistent with the state of the leader within a fixed time. Secondly, a new type of controller is proposed to realize the consensus of the system based on the Super-twisting algorithm. By using Lyapunov stability theory, the fixed-time consensus analysis of multi-agent systems under uncertain disturbances is presented. Finally, simulation examples verify the effectiveness of the algorithm proposed in this paper.