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Mathematical Problems in Engineering
Volume 2013, Article ID 187262, 10 pages
Research Article

Analysis of Hysteresis-Free Creep of the Stack Piezoelectric Actuator

1School of Control Science and Engineering, Shandong University, Jinan, Shandong 250061, China
2School of Information Engineering, Taishan Medical University, Taian, Shandong 271016, China
3School of Mechanical, Electrical & Information Engineering, Shandong University at Weihai, Shandong 264209, China

Received 8 March 2013; Accepted 22 April 2013

Academic Editor: Qingsong Xu

Copyright © 2013 Xueliang Zhao 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 modified log-type creep model without hysteresis of the stack piezoelectric actuator is presented. For high-speed micro-/nanopositioning system, the time scale should be less than one second for creep modeling and control in the stack piezoelectric actuator. But creep effect was studied in the frame of minutes in previous works. Meanwhile, parameters of the classical creep models are hard to be determined. By the proposed model, the hysteresis and the creep effect can be separated. A series of experiments have been performed, where different staircase voltages have been applied to the actuator. There are two clear rules to follow in small duration and different heights to determine parameters. Firstly, starts from fixed point either in ascending stage or in descending stage and rotates clockwise. Secondly, converges to a small vicinity of a constant when the duration is small enough.