For conventional droop control，it is difficult to keep rated frequency or voltage amplitude within small deviations in island operation mode when the load changes，and it is also difficult to keep constant power output in the grid-connected operation mode when the frequency or voltage amplitude of the grid fluctuates.To address these problems，a droop controller with adaptive drooping coefficient adjustment is designed to remove static deviations in frequency and maintain small deviations in voltage amplitude in island mode and to maintain constant power output in grid-connected mode.Moreover，a multiple master-slave control strategy is proposed based on the droop controller to overcome the shortcomings of the master-slave microgrid system control and the multiple master microgrid system control based on V/f.MATLAB/Simulink simulation shows that the proposed droop controller and multiple master-slave control strategy are feasible and effective.