Hammerstein-based model of piezoceramic actuator and its identification

Lai Zhi-lin; Liu Xiang-dong; GENG Jie

doi:10.3788/OPE.20122009.2087

您当前的位置：

首页 >

文章列表页 >

Hammerstein-based model of piezoceramic actuator and its identification

Article | 更新时间：2020-08-12

- Hammerstein-based model of piezoceramic actuator and its identification
- Optics and Precision Engineering Vol. 20, Issue 9, Pages: 2087-2094(2012)
- 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：
- DOI：10.3788/OPE.20122009.2087
  CLC： TP273.1;TN384
- Received：01 April 2012，
  
  Revised：14 May 2012，
  
  Published：10 September 2012
- 稿件说明：
移动端阅览
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

VASILJEV P, MAZEIKA D, KULVIETIS G. Modelling and analysis of omni-directional piezoelectric actuator [J]. Journal of Sound and Vibration, 2007, 308: 867-878.[2] 张栋, 张承进, 魏强. 压电微动工作台的动态迟滞模型[J]. 光学精密工程, 2009,17(3): 551-556. ZHANG D, ZHANG CH J, WEI Q. Dynamic hysteresis model of piezopositioning stage[J]. Opt. Precision Eng., 2009,17(3):551-556.(in Chinese)[3] LEE S H, ROYSTON, FRIEDMAN G. Modeling and compensation of hysteresis in piezoceramic transducers for vibration control[J]. Journal of Intelligent Material Systems and Structures, 2000,11(10): 781-790.[4] JILES D C, ATHERTON D L. Ferromagnetic hysteresis[J]. IEEE Transactions Magnetics, 1983,19(5): 2183-2185.[5] HODGDON M L. Applications of a theory of ferromagnetic hysteresis[J]. IEEE Transactions Magnetics, 1988, 24(1): 218-222.[6] WANG X H, SUN T. Preisach modeling of hysteresis for fast tool servo system [J]. Opt. Precision Eng., 2009, 17(6): 1421-1425.[7] 王岳宇,赵学增. 补偿压电陶瓷迟滞与蠕变的逆控制算法[J]. 光学精密工程, 2006, 14(6):1032-1040. WANG Y Y, ZHAO X Z. Inverse control algorithm to compensate the hysteresis and creep effect of piezoceramic[J]. Opt. Precision Eng., 2006, 14(6): 1032-1040. (in Chinese)[8] SCHIFFER A, IVANYI A. Preisach distribution function approximation with wavelet interpolation technique[J]. Physica B, 2006,372(1):101-105.[9] BOBBIO S, MILANO G, SERPICO C, et al.. Models of magnetic hysteresis based on play and stop hysterons[J]. IEEE Transactions on Magnetics, 1997,33(6): 4417-4426.[10] 陈辉,谭永红,周杏鹏,等. 压电陶瓷执行器的动态模型辨识与控制[J]. 光学精密工程, 2012, 20(1): 88-95. CHEN H,TAN Y H,ZHOU X P,et al.. Identification and control of dynamic modeling for piezoceramic[J]. Opt. Precision Eng., 2012, 20(1): 88-95. (in Chinese)[11] JIA-TZER H, KHAI D T. A Hammerstein-based dynamic model for hysteresis phenomenon[J]. IEEE Transactions on Power Electronics, 1997, 12(3): 406-413.[12] MAYERGOYZ I D. Mathematical Model of Hysteresis[M]. NewYork:Springer,1991.[13] 李黎, 刘向东, 侯朝桢. 压电陶瓷执行器Preisach 模型的分类排序实现[J]. 压电与声光, 2007, 29(5):544-547. LI L, LIU X D, HOU C ZH. The sorting &taxis realization of Preisach model on piezoelectric ceramic actuator[J]. Piezoel Ectectrics & Acoustooptics, 2007, 29(5): 544-547. (in Chinese)[14] 席裕庚, 柴天佑,恽为民. 遗传算法综述[J]. 控制理论与应用, 1996,13(6): 697-708. XI Y G, ChAI T Y, YUN W M. Survey on genetic algorithm[J]. Control Theory and Applications, 1996,13(6): 697-708.(in Chinese)

Views

419

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Hammerstein modeling and feedback linearization control for piezoelectric positioning stage

Rate-dependent dynamic hysteresis modeling of piezoelectric micro platform and its parameter identification

Sliding mode control of hysteresis of piezoceramic actuator based on inverse Preisach compensation

Kalman filter based output feedback predictive control for piezoelectric ceramic actuators

Identification and compensation of friction for modular joints based on grey wolf optimizer

Related Author

Tao HUANG

Mingxiang LING

Zhihong LUO

Guibao TAO

Xiao-jing YANG

Jun-wen HU

Ting-shu LI

LAI Zhi-lin

Related Institution

College of Mechanical and Vehicle Engineering， Chongqing University

Institute of Systems Engineering， China Academy of Engineering Physics

School of Mechanical and Electrical Engineering, Kunming University of Science and Technology

Aerospace Dongfanghong Satellite Co., Ltd.

School of Automatic, Beijing Institute of Technology

AI问答

Address：No.3888 Dong Nanhu Road, Changchun, Jilin, China Postal code：130033
Tel：0431-86176855 Email：gxjmgc@ciomp.ac.cn
Technical support is provided by Beijing Founder electronics co., LTD 吉ICP备11002662号-17 京公网安备11010802024621
It is recommended to read the content of this site in Chrome&IE9+. Please switch to extreme mode in browser 360.
Cookies We use cookies to help provide and enhance our service and tailor content. By continuing, you agree to the use of cookies.

⁰