压电陶瓷执行器的动态迟滞非线性特性建模

潘云凤; 潘海鹏; 赵新龙

doi:10.13873/J.1000-9787(2019)09-0038-05

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压电陶瓷执行器的动态迟滞非线性特性建模

研究与探讨 | 更新时间：2025-09-11

- 压电陶瓷执行器的动态迟滞非线性特性建模
- Dynamic hysteresis nonlinearity characteristics modeling of piezoceramic actuator
- 传感器与微系统 2019年38卷第9期页码：38-42
- 作者机构：
  
  浙江理工大学机械与自动控制学院
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目（61273184）;浙江省自然科学基金资助项目（LZ15F030005,LY15F030022）
- DOI：10.13873/J.1000-9787(2019)09-0038-05
  中图分类号： TP215
- 纸质出版：2019
- 稿件说明：
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[1]潘云凤,潘海鹏,赵新龙.压电陶瓷执行器的动态迟滞非线性特性建模[J].传感器与微系统,2019,38(09):38-42.

PAN Yunfeng, PAN Haipeng, ZHAO Xinlong. Dynamic hysteresis nonlinearity characteristics modeling of piezoceramic actuator[J]. 2019, 38(9): 38-42.
[1]潘云凤,潘海鹏,赵新龙.压电陶瓷执行器的动态迟滞非线性特性建模[J].传感器与微系统,2019,38(09):38-42. DOI： 10.13873/J.1000-9787(2019)09-0038-05.

PAN Yunfeng, PAN Haipeng, ZHAO Xinlong. Dynamic hysteresis nonlinearity characteristics modeling of piezoceramic actuator[J]. 2019, 38(9): 38-42. DOI： 10.13873/J.1000-9787(2019)09-0038-05.

摘要

针对精密定位系统中压电陶瓷执行器的迟滞非线性特性建模问题

提出了一种基于Hammerstein迟滞模型的建模方法。通过引入一个Backlash类的算子来描述迟滞非线性的轮廓。在利用"扩展输入空间法"将迟滞特性的多值映射转换为一一映射的基础上

采用引力搜索算法优化的支持向量回归机建立静态迟滞模型。为体现迟滞的动态特性

用ARX模型表征迟滞环的率相关性

从而建立了Hammerstein级联模型。并从精密定位系统中采集了实测数据

通过电容传感器获取压电陶瓷执行器给定电压下的位移值

对所提出的模型进行了实验。实验表明:该模型具有较好的性能

辨识过程简便且易于工程实现。

Abstract

Aiming at the problem of hysteresis nonlinearity characteristics modeling of piezo-ceramic actuator in precise positioning system

a modeling method based on Hammerstein hysteresis model is proposed. A Backlashlike operator is introduced to describe contour of hysteresis nonlinear and the multi-valued mapping of hysteresis is transformed into one-to-one mapping using expended input space method

then using support vector machine optimized with gravitational search algorithm to build a static hysteresis model. In order to reflect the dynamic characteristics of hysteresis

the ARX model is used to characterize the rate correlation of the hysteresis loop

the Hammerstein cascade model is established. Finally

the measured data are collected from the precision positioning system

and the displacement value of the piezoelectric ceramic actuator is obtained by the capacitive sensor. The proposed model is tested. Experiments show that the model has good performance

and the identification process is simple and easy to implement in engineering.

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references

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微位移系统中压电陶瓷驱动器迟滞建模