Abstract: In high power storage system,time consumption in sampling and calculating of digital processors could reduce the performances of output voltage and even make the system unstable at some serious condition,as the battery energy storage inverter has high power and low switching frequency.The predict control strategy can eliminate the influence of time consumption,while the surge of input voltage and model error could generate the prediction error.Based on the digital strategy of prediction control in battery energy storage inverter,this paper calculated the functions between model error,input change and prediction error.After analyzing the influence of prediction error on digital control strategy for inverter,a full-state feedback control strategy based on integral of output error was given.The outer loop used the integral of output voltage error to suppress the prediction error and the digital controller selected the integral of backward difference to reduce the degrees of freedom.This method realized a non-static error control and could eliminate the influence of digital delay.A 30 kW prototype is built to validate the effectiveness of the given control strategy,the static error of which was reduced to 1% from 9%.