Adaptive consensus control of leader-following systems with transmission nonlinearities

Abstract

In this paper, the leader-following consensus problem of multi-agent systems is studied. It is assumed that there exist gain and bias transmission nonlinearities in the links in the communication network. Two distributed adaptive control schemes, where the transmission nonlinearities are compensated, are designed to guarantee that the consensus problem is solved and synchronisation errors are cooperatively uniformly and ultimately bounded. By using Lyapunov stability theory, the stability of closed-loop system is proven. The effectiveness of the proposed control methods is demonstrated by simulation results.