基于双曲函数的Preisach类迟滞非线性建模与逆控制

陈远晟; 裘进浩; 季宏丽; Ronan Le Breton

doi:10.3788/OPE.20132105.1205

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基于双曲函数的Preisach类迟滞非线性建模与逆控制

微纳技术与精密机械 | 更新时间：2020-08-12

- 基于双曲函数的Preisach类迟滞非线性建模与逆控制
- Modeling and inverse control of Preisach type hysteresis nonlinearity using hyperbola functions
- 光学精密工程 2013年21卷第5期页码：1205-1212
- 作者机构：
  
  南京航空航天大学机械结构力学及控制国家重点实验室2. 萨瓦大学材料与机电系统实验室，法国旧阿纳西城
- 作者简介：
- 基金信息：
  
  国家自然科学基金重大研究计划培育项目();长江学者和创新团队发展计划资助();国家自然科学基金中美合作与交流项目();江苏省自然科学基金创新学者攀登项目();江苏省普通
- DOI：10.3788/OPE.20132105.1205
  中图分类号： TN384;TP273
- 收稿日期：2012-10-22，
  
  修回日期：2012-11-26，
  
  网络出版日期：2013-05-24，
  
  纸质出版日期：2013-05-15
- 稿件说明：
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陈远晟裘进浩季宏丽 Ronan Le Breton. 基于双曲函数的Preisach类迟滞非线性建模与逆控制[J]. 光学精密工程, 2013,21(5): 1205-1212

CHEN Yuan-Sheng QIU Jin-hao JI Hong-li LE BRETON Ronan. Modeling and inverse control of Preisach type hysteresis nonlinearity using hyperbola functions[J]. Editorial Office of Optics and Precision Engineering, 2013,21(5): 1205-1212
陈远晟裘进浩季宏丽 Ronan Le Breton. 基于双曲函数的Preisach类迟滞非线性建模与逆控制[J]. 光学精密工程, 2013,21(5): 1205-1212 DOI： 10.3788/OPE.20132105.1205.

CHEN Yuan-Sheng QIU Jin-hao JI Hong-li LE BRETON Ronan. Modeling and inverse control of Preisach type hysteresis nonlinearity using hyperbola functions[J]. Editorial Office of Optics and Precision Engineering, 2013,21(5): 1205-1212 DOI： 10.3788/OPE.20132105.1205.

摘要

为了补偿压电双晶片驱动器的迟滞非线性，提出了基于双曲函数的Preisach类迟滞非线性建模方法，并用该模型设计了压电双晶片驱动器的逆控制器。首先，用两个双曲函数分别拟合迟滞主环的上升段与下降段，利用坐标变换描述依附于主环的一阶曲线；然后，根据Preisach模型理论的记忆擦除性与次环一致性，基于一阶上升与下降曲线分别描述了次环的上升段与下降段。由于这种建模方法所需的参数远小于Preisach等经典迟滞模型，非常适用于压电驱动器等智能材料系统。实验结果显示，基于这种迟滞非线性模型设计的逆控制器，控制后的最大误差比控制前减小了44.26%，有效地提高了压电双晶片驱动器的定位控制精度。

Abstract

To compensate the hysteresis nonlinearity of a piezoelectric biomorph actuator

a new model with hyperbola functions was proposed to describe the Preisach type hysteresis nonlinearity

and an inverse controller was designed with the proposed model. Two hyperbola functions were used to fit the curves of hysteresis major loop and then the firstorder ascending and descending branches were described by the coordinate conversion. Based on the wipingout and congruency property of Preisach model

the minor loops were modeled by the corresponding firstorder curves. As the parameters of the proposed model are much less than those of classic hysteresis models

such as Preisach model

the proposed model is suitable for the smart material systems including piezoelectric actuators. Experimental results show that the inverse controller designed with the proposed model can compensate the hysteresis of piezoelectric biomorph actuator

and the maximum control error with inverse controller has reduced by 44.26%.

关键词

Keywords

references

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