The conventional active disturbance rejection control(ADRC)is mainly adopted to track the step signal to realize fast response and zero steady-state error. But the output of the inverter is a periodic signal

which leads to a large tracking error and makes the application of ADRC restricted. The known model of the inverter is added into the controller

and the ADRC scheme is adopted to suppress the lumped disturbance

including the unmodeled dynamics and external disturbances. The conventional model compensation based ADRC can achieve better waveform quality

but the steady-state error rate is high. Theoretical analysis of the reasons for the existence of steady-state error is performed and the ADRC with differential feedforward(DF)is proposed to reduce the steady-state error of the inverter. By establishing the equivalent of internal model control structure

the stablilty of inverter based on ADRC with DF. The effectiveness of the proposed scheme is verified by the simulations and experiments.