针对传统Prandtl-Ishlinskii(PI)模型不能反映压电式气体比例阀迟滞非对称特性而导致其补偿控制精度难以提高的问题, 提出了一种改进的PI模型, 通过添加3次多项式使其能拟合压电式气体流量比例控制阀的非对称迟滞曲线。利用改进的自适应粒子群遗传算法辨识所需的模型参数, 模型相对误差为0.007 3%, 并将模型用于前馈补偿控制。实验结果表明, 基于迟滞模型的前馈补偿控制可显著提高压电式气体比例阀输出流量控制的快速性, 调节时间降低了60%。

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%.