A new hysteresis modeling and optimization for piezoelectric actuators based on asymmetric Prandtl-Ishlinskii model
A new hysteresis modeling and optimization for piezoelectric actuators based on asymmetric Prandtl-Ishlinskii model
复制标题
基于非对称 Prandtl-Ishlinskii 模型的新型压电执行器磁滞建模与优化
DOI：
10.1016/j.sna.2020.112431
复制
发表时间：
2020-12-01
影响因子：
4.6
通讯作者：
Ju, Bingfeng
中科院分区：
文献类型：
--
作者：
Wang, Wen;Wang, Ruijin;Ju, Bingfeng
压电驱动器是生物医学微操作系统的核心部件。压电陶瓷驱动器的非对称迟滞特性严重影响其性能，现有的非对称迟滞模型要么不准确，要么过于复杂。本文在Prandtl-Ishlinskii（PI）模型的基础上，提出了一种精确、简单的非对称迟滞模型。首先，对Play算子进行了非对称修改，以增强其灵活性，并分析了参数对算子的影响。其次，基于非对称Play算子提出了非对称Prandtl-Ishlinskii（API）模型，并进行了实验验证。与现有的几种模型相比，API模型在相同条件下能更准确、更简单地描述非对称迟滞现象。第三，对API模型的参数进行了优化。与未优化的API模型相比，优化后的模型在保持较高精度的同时，减少了参数的个数。讨论了阶数对精度的影响，为阶数的选择提供了指导。最后，采用优化后的API模型对迟滞进行补偿。实验结果表明，基于该模型的补偿器能有效地抑制压电驱动器的迟滞。(C)2020 Elsevier B. V.保留所有权利。
Piezoelectric actuators are core components in micromanipulation systems in the field of biomedicine. The asymmetrical hysteresis of piezoelectric actuators greatly affects its performance, and the existing asymmetric hysteresis models are either inaccurate or complicated. In this paper, an accurate and simple asymmetric hysteresis model is proposed based on the Prandtl-Ishlinskii (PI) model. Firstly, the Play operator is modified to be asymmetric to enhance its flexibility, and the influence of parameters on the operator is analyzed. Secondly, the Asymmetric Prandtl-Ishlinskii (API) model is proposed based on the asymmetric Play operator and verified by experiment. Compared with several existing models, the API model can describe the asymmetric hysteresis in a more accurate and simple manner under the same conditions. Thirdly, the parameters of the API model are optimized. Compared with the unoptimized API model, the optimized one can reduce the number of parameters and maintain high accuracy. Furthermore, the influence of the order on accuracy is discussed, and a guidance for selection of the order is provided. Last but not least, the optimized API model is used to compensate for the hysteresis. The experimental results show that the compensator based on this model can effectively suppress the hysteresis of the piezoelectric actuator. (C) 2020 Elsevier B.V. All rights reserved.