Leader-Following Consensus With Prescribed Performance for Linear Multiagent Systems

In this article, we consider the leader-following consensus problem with prescribed performance for general linear multiagent systems. To solve this problem, we construct a distributed state feedback control law on the basis of some barrier Lyapunov functions. Then, all the consensus errors are proved to converge to zero asymptotically and the time-varying prescribed performance is proved to be achieved. Finally, we give a simulation example to confirm our results.