压电陶瓷执行器的类Hammerstein模型及其参数辨识

赖志林; 刘向东; 耿洁

doi:10.3788/OPE.20122009.2087

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压电陶瓷执行器的类Hammerstein模型及其参数辨识

信息科学 | 更新时间：2020-08-12

- 压电陶瓷执行器的类Hammerstein模型及其参数辨识
- Hammerstein-based model of piezoceramic actuator and its identification
- 光学精密工程 2012年20卷第9期页码：2087-2094
- 作者机构：
  
  北京理工大学自动化学院复杂系统智能控制与决策重点实验室北京,100081
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目(No.10872030)();国家重点基础研究发展计划(973计划)资助项目(No.2012CB720000)();北京市自然科学基金资助项目
- DOI：10.3788/OPE.20122009.2087
  中图分类号： TP273.1;TN384
- 收稿日期：2012-04-01，
  
  修回日期：2012-05-14，
  
  纸质出版日期：2012-09-10
- 稿件说明：
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赖志林, 刘向东, 耿洁. 压电陶瓷执行器的类Hammerstein模型及其参数辨识[J]. 光学精密工程, 2012,20(9): 2087-2094

LAI Zhi-lin, LIU Xiang-dong, GENG Jie. Hammerstein-based model of piezoceramic actuator and its identification[J]. Editorial Office of Optics and Precision Engineering, 2012,20(9): 2087-2094
赖志林, 刘向东, 耿洁. 压电陶瓷执行器的类Hammerstein模型及其参数辨识[J]. 光学精密工程, 2012,20(9): 2087-2094 DOI： 10.3788/OPE.20122009.2087.

LAI Zhi-lin, LIU Xiang-dong, GENG Jie. Hammerstein-based model of piezoceramic actuator and its identification[J]. Editorial Office of Optics and Precision Engineering, 2012,20(9): 2087-2094 DOI： 10.3788/OPE.20122009.2087.

摘要

针对压电陶瓷执行器的迟滞非线性对压电陶瓷精密定位的影响

提出了应用类Hammerstein模型对压电陶瓷执行器进行建模的方法。建立了压电陶瓷执行器的迟滞模型并且描述其频率相关性。利用类Hammerstein模型把压电陶瓷执行器看成静态迟滞模型和动态二阶系统的串联

其中静态模型由分类排序的Preisach模型进行描述

二阶系统应用遗传算法辨识其参数。实验结果表明:加入二阶系统后

类Hammerstein模型对频率的相关性有较大增强

其误差相应地大幅降低

在800 Hz时平均绝对误差为0.339 2 m;而由Preisach建立的迟滞模型的误差随着频率的增大而大幅增大

在800 Hz为0.888 1 m。

Abstract

For the effect of hysteretic linearity of a piezoceramic actuator on nano-positioning system

a modeling method based on Hammerstein model was proposed. The Hammerstein-based model for the piezoceramic actuator was established and its frequency dependence was described.By using the Hammerstein model

the piezoceramic actuator was taken as a static hysteretic model couple with a dyamic second-order system

and the former was described by the Preisach model and the latter was identified by the genetic algorithm. The experimental results show that the frequency dependence of the Hammerstein-based model is improved after adding the second order system

correspondingly

the error is decreased greatly. In 800 Hz

the absolute average tracking error of the Hammerstein-based model is 0.339 2 m

which is less than that of the Preisach model in 0.888 1 m.

关键词

Keywords

references

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