Department of Mechanical Engineering, Changwon National University, 9 Sarim-dong Changwon, Gyeongnam 641-773, Republic of Korea.
Ultrasonics. 2010 Mar;50(3):335-9. doi: 10.1016/j.ultras.2009.10.012. Epub 2009 Oct 30.
In this study, we develop a novel modified Rayleigh model for hysteresis compensation in piezoelectric actuators. Piezoelectric actuators suffer from hysteresis, in large drive fields of more than 100 V, which can result in serious displacement errors. The typical phenomenological approach is to use the Rayleigh model; however, this model gives more than 10% difference with experiments at the large electric fields of more than 1kV/mm. Furthermore, there are no studies that apply the Rayleigh model to the compensation of precision actuators, such as stack actuators; it has only been applied in the study of the physical properties of piezoelectric materials. Therefore, we propose a modified Rayleigh model, in which each coefficient is defined differently according to whether the field is increasing or decreasing to account for asymmetry at the high fields. By applying a computer-based control from an inverse form of this modified Rayleigh model, we show that we can compensate for hysteresis to reduce the position error to less than five percent. This model has the merits of reducing complicated fitting procedures and of saving computation time compared to the Preisach model. Specifically, this model cannot only predict the hysteresis curves in all local fields using only one fitting procedure, but also make it possible to control the displacement of various piezo-based actuators without expensive sensors, based on the charge-based model.
在这项研究中，我们开发了一种新颖的改进瑞利模型，用于补偿压电执行器中的磁滞现象。在超过 100V 的大驱动场中，压电执行器会受到磁滞的影响，从而导致严重的位移误差。典型的唯象方法是使用瑞利模型；然而，该模型在超过 1kV/mm 的大电场下与实验结果的差异超过 10%。此外，还没有研究将瑞利模型应用于精密执行器（如堆叠执行器）的补偿，它仅应用于压电材料物理性质的研究。因此，我们提出了一种改进的瑞利模型，其中每个系数根据场的增加或减少定义不同，以考虑在高场下的不对称性。通过应用基于计算机的控制，从这个改进的瑞利模型的逆形式，我们表明我们可以补偿磁滞，将位置误差减少到小于百分之五。与 Preisach 模型相比，该模型具有减少复杂拟合过程和节省计算时间的优点。具体来说，该模型不仅可以使用一次拟合过程来预测所有局部场的磁滞曲线，而且还可以基于电荷模型，在不使用昂贵传感器的情况下，控制各种基于压电的执行器的位移。
