Deep Learning for Identifying Hysteresis Models of Piezoceramic Actuators in the Linear Frame

Xue Qi, Weijia Shi, Bo Zhao, Jiubin Tan
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Abstract

Piezoceramic actuators have been already applied in precision positioning in terms of simple and compact structure, free from noise, and high theoretical positioning resolution. However, the hysteresis characteristic limits the further improvement of positioning accuracy. Nowadays neural networks (NNs) have revolutionized progress in the identification and global linearization tasks, which makes it potential to employ deep learning in identifying hysteresis model of piezoceramic actuators in the linear frame. This paper aims at achieving the identification of the hysteresis model by means of NNs. Based on the Preisach model, datasets are obtained in Matlab. Identification of nonlinear coordinates is accomplished by the auto-encoder afterwards. As a result, weights of the various network branches are computed. Comparing the hysteresis model displacement output with the NNs reconstruction, it is found that the curves are basically consistent. The experimental results confirm the correctness of this method, which is of great significance for analysis and control of nonlinear systems.
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线性框架下压电陶瓷作动器迟滞模型的深度学习识别
压电陶瓷作动器结构简单紧凑、无噪声、理论定位分辨率高,已广泛应用于精密定位领域。然而,磁滞特性限制了定位精度的进一步提高。目前,神经网络在识别和全局线性化任务方面取得了革命性的进展,这使得深度学习在线性框架下识别压电陶瓷作动器的滞后模型成为可能。本文旨在利用神经网络实现对迟滞模型的识别。基于Preisach模型,在Matlab中获取数据集。非线性坐标的辨识由自编码器完成。从而计算出各网络分支的权值。将迟滞模型位移输出与神经网络重构结果进行对比,发现两者曲线基本一致。实验结果证实了该方法的正确性,对非线性系统的分析与控制具有重要意义。
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