To improve the existing virtual synchronous generator（VSG） control strategy

a model predictive control（MPC） based on feedback control method is proposed in this paper. In this method

the optimized model of VSG is firstly established by rotor motion equation and droop control equation

and the model is discretized. Then

the motion trajectory of rotor angular frequency is obtained by using MPC

and the first term of the optimal predictive control input vector is taken as the feedback input of the controller at the next time. Thirdly

a feedback channel between the rotor angular frequency increment and torque increment is constructed to compensate the frequency deviation in real time. At the same time

the influence of feedback controller parameters on system stability is analyzed

and the basic principle of parameter selection is given. Finally

the simulation model of the inverter with the feedback controller proposed in this paper based on the MATLAB/Simulink is compared with three existing methods. The results show that the method proposed in this paper can be adopted to more effectively restrain the frequency out-of-limit and reduce the frequency recovery time

which verifies the effectiveness and feasibility of this method.