Adaptive preview consensus control for discrete-time nonlinear multi-agent systems with unknown control directions

Abstract

In this paper, the leader-following consensus control problem of discrete-time nonlinear multi-agent systems with unknown control directions is discussed. The preview future information of the leader is utilized when the distributed controllers are designed. Fuzzy logic system is directly introduced to approximate the uncertainty and unknown control directions and the adaptive distributed controller with preview information is put forward. The designed controller can drive all the states of followers to converge to a small neighbourhood of the leader’s state. In addition, all the states of followers remain bounded. Finally, the results of simulations can display the effectiveness of the presented algorithms.