With the increasing scale of microgrids, how to accomplish the secondary control objective quickly and stably is an urgent problem to be solved. Therefore, the article firstly addresses the convergence speed problem of distributed secondary controllers in existing microgrids and proposes a distributed secondary control based on adaptive finite time, and the proposed controllers can be distributed in different scenarios to obtain the convergence coefficients of the finite time controllers that are most suitable for the current situation, so as to accelerate the speed of secondary control. Secondly, for the problem that the distributed controller is susceptible to perturbation and fails to accomplish the control objective, a distributed finite-time controller based on sliding mode control is designed to eliminate the influence of perturbation. Then the stability and feasibility of the proposed strategy are analyzed by the Liapunov function proof method. Finally, a simulation model is constructed by Matlab/Simulink to verify the effectiveness and feasibility of the control strategy proposed in this paper under four different arithmetic cases.