Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model

To improve the modeling accuracy of piezoceramic actuator in the precision positioning system, the Duhem hysteretic model of the piezoceramic actuator was proposed. The paper used the polynomial function to approach the piecewise continuous function and f(v) and g(v) in the Duhem model, adopted recu...

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Main Authors: Miaolei Zhou, Jingyuan Wang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/814919
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author Miaolei Zhou
Jingyuan Wang
author_facet Miaolei Zhou
Jingyuan Wang
author_sort Miaolei Zhou
collection DOAJ
description To improve the modeling accuracy of piezoceramic actuator in the precision positioning system, the Duhem hysteretic model of the piezoceramic actuator was proposed. The paper used the polynomial function to approach the piecewise continuous function and f(v) and g(v) in the Duhem model, adopted recursive least squares algorithm and gradient correction algorithm to identify parameter α, polynomial coefficients of f and g in the Duhem model, and established the nonlinear parametric model of the piezoceramic actuator. Contrasting the simulation results of recursive least squares algorithm and gradient correction algorithm, the modeling accuracy is 0.24% when adopting the recursive least squares algorithm, and the modeling accuracy is 0.11% when adopting the gradient correction method. The result showed that the gradient correction algorithm could meet the modeling accuracy better, and the structure of the algorithm is simple, adaptable, and easy to implement.
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institution Kabale University
issn 1537-744X
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publishDate 2013-01-01
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record_format Article
series The Scientific World Journal
spelling doaj-art-df33533d152646169b9da1ce1e624dd52025-02-03T07:23:35ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/814919814919Research on Hysteresis of Piezoceramic Actuator Based on the Duhem ModelMiaolei Zhou0Jingyuan Wang1College of Communication Engineering, Jilin University, Changchun 130012, ChinaCollege of Communication Engineering, Jilin University, Changchun 130012, ChinaTo improve the modeling accuracy of piezoceramic actuator in the precision positioning system, the Duhem hysteretic model of the piezoceramic actuator was proposed. The paper used the polynomial function to approach the piecewise continuous function and f(v) and g(v) in the Duhem model, adopted recursive least squares algorithm and gradient correction algorithm to identify parameter α, polynomial coefficients of f and g in the Duhem model, and established the nonlinear parametric model of the piezoceramic actuator. Contrasting the simulation results of recursive least squares algorithm and gradient correction algorithm, the modeling accuracy is 0.24% when adopting the recursive least squares algorithm, and the modeling accuracy is 0.11% when adopting the gradient correction method. The result showed that the gradient correction algorithm could meet the modeling accuracy better, and the structure of the algorithm is simple, adaptable, and easy to implement.http://dx.doi.org/10.1155/2013/814919
spellingShingle Miaolei Zhou
Jingyuan Wang
Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model
The Scientific World Journal
title Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model
title_full Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model
title_fullStr Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model
title_full_unstemmed Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model
title_short Research on Hysteresis of Piezoceramic Actuator Based on the Duhem Model
title_sort research on hysteresis of piezoceramic actuator based on the duhem model
url http://dx.doi.org/10.1155/2013/814919
work_keys_str_mv AT miaoleizhou researchonhysteresisofpiezoceramicactuatorbasedontheduhemmodel
AT jingyuanwang researchonhysteresisofpiezoceramicactuatorbasedontheduhemmodel