Aiming at the problem that the traditional Prandtl-Ishlinskii (PI) model cannot reflect the asymmetric hysteresis characteristics of the piezoelectric gas proportional valve, which makes it difficult to improve the compensation control accuracy, an improved PI model is proposed, which can fit the asymmetric hysteresis curve of the piezoelectric gas flow proportional control valve by adding a third-order polynomial. The improved adaptive particle swarm genetic algorithm is used to identify the required model parameters, and the relative error of the model is 0.007 3%. The model is used for the feedforward compensation control. The experimental results show that the feedforward compensation control based on the hysteresis model can significantly improve the rapidity of the output flow control of the piezoelectric gas proportional valve, and the adjustment time is reduced by 60%.