Modeling and SIMO controlling of piezoceramic hysteresis

Yuhe Li, Yanxiang Chen, Xiaogen Hu
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Abstract

Micro-displacement devices, especially nano-scale actuators based on the inverse piezoelectric effect of piezoelectric ceramic are widely used. In Atomic Force Microscope (AFM) nano-level lateral resolution of probe or sample micro-displacement can be achieved using piezoelectric actuator stage. However, significant accuracy reduction is brought about by nonlinearity and multiple-value characteristics of piezoceramic hysteresis. In order to enhance the resolution of AFM system, the modeling of piezoelectric hysteresis using BP neural-network is presented in this paper based on the central symmetry characteristics, and the model parameters are gained by means of neural network training, then a Single-Input-Multiple-Output (SIMO) control method of piezoelectric ceramic is constructed. Based on the SIMO control model the open-loop tracking control experiment for piezoelectric ceramic is performed, and the tracking control error is between -47nm and 63nm. The experiment results show that the control model has the advantages of high open-loop tracking accuracy and anti-interference capability.
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压电陶瓷迟滞建模与SIMO控制
基于压电陶瓷逆压电效应的微位移器件,尤其是纳米级驱动器得到了广泛的应用。在原子力显微镜(AFM)中,利用压电作动器可以实现探针或样品微位移的纳米级横向分辨率。然而,压电陶瓷迟滞的非线性和多值特性会显著降低测量精度。为了提高AFM系统的分辨率,基于中心对称特性,采用BP神经网络对压电陶瓷的磁滞进行建模,并通过神经网络训练获得模型参数,构建了压电陶瓷的单输入多输出(SIMO)控制方法。基于SIMO控制模型对压电陶瓷进行了开环跟踪控制实验,跟踪控制误差在-47nm ~ 63nm之间。实验结果表明,该控制模型具有开环跟踪精度高、抗干扰能力强等优点。
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