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Journal of Control Science and Engineering
Volume 2012, Article ID 498590, 7 pages
Research Article

A Memory-Based Hysteresis Model in Piezoelectric Actuators

1School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China
2Electrical and Computer Engineering, Dalhousie University, Halifax, NS, Canada

Received 12 January 2012; Revised 25 March 2012; Accepted 5 April 2012

Academic Editor: Pak Kin Wong

Copyright © 2012 Guilin Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A mathematical memory-based model is proposed to capture the hysteresis behavior in piezoelectric actuators. It is observed that the ascending (descending) hysteresis curves are alike and converge to one point without memory saturation. Therefore, two, dominant curves are determined and expressed as continuous functions, and the other hysteresis curves are modeled using two dominant curves through nonlinear transforming of coordinate axis. In the event of memory saturation, a new converging point is used to compensate the model prediction error. The experimental study has been carried out and our proposed model prediction method is compared with PI model and the linear model. It shows that the proposed model prediction method is better than other two methods.