Adaptive fuzzy consensus tracking control of multi-agent systems with predefined time

This article concentrated on practically predefined-time consensus tracking control of multi-agent systems (MASs) exhibiting strict feedback dynamics, and attaining a predefined level of accuracy. Specifically, a sufficient condition was derived to decide whether the consensus error converges into a predefined region in a certain predefined time that can be appointed beforehand irrespective of initial conditions. By the established stability criterion, a distributed robust fuzzy controller was designed, whose primary aim is to ensure the cooperative stability of the consensus output tracking errors. Command filters were utilized to obtain the estimations of virtual inputs and their derivatives. More notably, the followers can track a designated trajectory structure guided by the leader within a predefined time and tracking errors can be arbitrarily small, which provides a theoretical criterion for the consensus tracking problem of MASs. Finally, an example was utilized to indicate the effectiveness and practicality of the proposed approach.