基于三线性插值法的preisach模型及数值实现  

The Preisach Model Based on Trilinear Interpolation Method and Its Numerical Implementation

作　　者：范青武 张恒 刘旭东[1,2] 徐辽 张跃飞 FAN Qingwu;ZHANG Heng;LIU Xudong;XU Liao;ZHANG Yuefei(Faculty of Information Technology,Beijing University of Technology,Beijing 100024,China;Engineering Research Center of Digital Community,Ministry of Education,Beijing 100024 China;Institute of Microstructure and Properties of Advanced Materials,Beijing University of Technology,Beijing 100024,China)

机构地区：[1]北京工业大学信息学部,北京100024 [2]数字社区教育部工程研究中心,北京100024 [3]北京工业大学固体微结构与性能研究所,北京100024

出　　处：《压电与声光》2018年第5期811-814,共4页Piezoelectrics & Acoustooptics

基　　金：科技部国家重大科学仪器设备开发专项基金资助项目(2012YQ03007508)

摘　　要：传统preisach模型具有次环一致特性,压电陶瓷执行器迟滞特性不满足其特性。采用传统preisach模型建模精度较低,因此,该文提出一种改进型preisach模型,推导出离散化计算方法,其数值实现采用三线性插值法。在PI公司生产的E-625系列压电陶瓷控制器平台上针对此算法进行相关实验设计和结果的验证。实验结果表明,该文提出的基于三线性插值法的preisach模型其绝对误差最大值为0.2μm,提高了压电陶瓷preisach模型精度。The traditional preisach model has the characteristics of the secondary loop consistency,and the hysteresis characteristics of the piezoelectric ceramic actuator do not satisfy its characteristics.The traditional Preisach model has low modeling accuracy,so an improved Preisach model is proposed in this paper.The discretization method is derived and its numerical implementation is based on the trilinear interpolation.The verification of the experimental design and results of this algorithm are carried out on the E-625 series piezoelectric ceramic controller platform fabricated by PI Company.The experimental results show that the preisach model based on trilinear interpolation method proposed in this paper has a maximum absolute error of 0.2μm,which improves the precision of the piezoelectric ceramic preisach model.

关 键 词：压电陶瓷驱动器 PREISACH模型 三线性插值 迟滞 数值实现 

分 类 号：TN04[电子电信—物理电子学] TP282[自动化与计算机技术—检测技术与自动化装置]