Finite-time consensus of leader-follower multi-agent systems with fixed and switching topologies

This paper proposes a novel nonlinear distributed consensus protocol of the finite-time consensus problems of leader-follower multi-agent systems based on the distributed consensus error functions. It is proved that the leader-follower multi-agent systems under this nonlinear protocol can reach the consensus in finite time in the scenarios with fixed topology and two kinds of switching topologies, respectively. The results are also extended to the case with directed communication topology. Finally, some examples and simulation results are given to illustrate the effectiveness of the proposed control protocols.