Identification and control of dynamic modeling for piezoceramic actuator

CHEN Hui; TAN Yong-hong; ZHOU Xing-peng; ZHANG Ya-hong; DONG Rui-li

doi:10.3788/OPE.20122001.0088

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Identification and control of dynamic modeling for piezoceramic actuator

Article | 更新时间：2020-08-12

- Identification and control of dynamic modeling for piezoceramic actuator
- Optics and Precision Engineering Vol. 20, Issue 1, Pages: 88-95(2012)
- 作者机构：
  
  1. 东南大学自动化学院,江苏南京,210096
  2. 桂林电子科技大学电子工程与自动化学院,广西桂林,541004
  3. 上海师范大学信息与机电工程学院上海,200234
  4. 桂林航天工业高等专科学校信息工程系,广西桂林,541004
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20122001.0088
  CLC： TP273.1;TN384
- Received：05 August 2011，
  
  Revised：28 September 2011，
  
  Published Online：25 January 2012，
  
  Published：25 January 2012
- 稿件说明：
移动端阅览
陈辉, 谭永红, 周杏鹏, 张亚红, 董瑞丽. 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 Hui, TAN Yong-hong, ZHOU Xing-peng, ZHANG Ya-hong, DONG Rui-li. Identification and control of dynamic modeling for piezoceramic actuator[J]. Editorial Office of Optics and Precision Engineering, 2012,20(1): 88-95
陈辉, 谭永红, 周杏鹏, 张亚红, 董瑞丽. 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 DOI： 10.3788/OPE.20122001.0088.

CHEN Hui, TAN Yong-hong, ZHOU Xing-peng, ZHANG Ya-hong, DONG Rui-li. Identification and control of dynamic modeling for piezoceramic actuator[J]. Editorial Office of Optics and Precision Engineering, 2012,20(1): 88-95 DOI： 10.3788/OPE.20122001.0088.

摘要

为了提高精密定位系统中压电陶瓷的控制精度

研究了压电执行器的动态模型及逆模型。根据Weierstrass第一逼近定理

提出了以多项式函数逼近Duhem模型中的分段连续函数

()和

()

并应用递推最小二乘算法辨识Duhem模型的参数及

()和

()的多项式系数

建立了压电陶瓷执行器的非线性参数化动态模型。利用辨识结果建立压电陶瓷执行器的动态逆模型

避免对压电陶瓷执行器进行复杂的模型求逆;介绍了通过逆补偿和PID复合控制对压电陶瓷系统进行的控制。实验结果表明:仅通过逆补偿

可在0~200 m使得控制绝对误差小于0.8 m;在前馈逆补偿和PID环控制下

绝对误差可小于40 nm

结果验证了算法的有效性。该算法结构简单

适应性强

便于工程实现。

Abstract

The dynamic model and inverse model of a piezoceramic actuator were proposed to improve its control precision in a precision position system. According to the Weierstrass approximation theorem

the polynomials

() and

() in the Duhem function was developed

and the dynamic modeling of nonlinear parameters of the piezoceramic actuator was given by using recursive least squares to identify the model parameters and polynomial coefficients in the Duhem model. Then

an inverse dynamic modeling of the piezoceramic actuator was established based on identified results to simplify the unknown parameter computation process greatly. Finally

the dynamic inverse compensation was incorporated in a closed-loop PID controller to control the piezoceramic actuator. Experimental results indicate that the maximum absolute error with the inverse compensation is less than 0.8 m and that with the inverse compensation and PID is less than 40 nm in an amplitude range of 200 m. The experimental result shows that the proposed identification scheme has improved the nonlinear characteristic of the piezoceramic actuator effectively.

关键词

Keywords

references

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