In this article, a finite-time adaptive fuzzy consensus control problem is solved for a class of uncertain nonlinear multi-agent systems (MASs), where the agent of each follower is marked as a non-strict feedback form. During the control design, a finite-time fuzzy adaptive controller is obtained by adding power integrator techniques and integrating backstepping design. This presented adaptive fuzzy consensus control scheme can guarantee the closed-loop system semi-global finite time bounded. In addition, the tracking error converges to a small neighborhood of the origin with arbitrary switching communication topologies. Finally, the effectiveness for presented control approach can be validated by a simulation example.

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