Prescribed-Time Leader-Following Consensus Tracking Control for Second-Order Multi-agent Systems

This paper investigates the prescribed-time leader-following consensus tracking control problem for second-order multi-agent systems. The convergence time of the protocol can be pre-designed according to the requirements of the actual task without conservation estimation. Using a novel prescribed-time distributed observer, all the follower agent can get the leader agent’s states information at a pre-designed time. Then a prescribed-time tracking controller is explicitly constructed guaranteeing leader-following consensus. In order to verify the efficacy of the developed cooperative control scheme, a simulation example is given.