In this paper, a model and the associated identification procedure are proposed to precisely portray the hysteresis behavior in piezoelectric actuators. The model consists of basic physical elements and utilizes a Maxwell-slip structure to describe hysteresis. By analyzing the model, the influence of initial strain/charges on the hysteresis behavior is revealed. It is also found that if all the spring elements in the model are linear, the resultant hysteresis loop is anti-symmetric and does not match the experimental behavior. To account for this mismatch, a nonlinear spring element is included into the model. The constitutive relation of the nonlinear spring and the parameters of the basic elements in the model are identified from experimental data by linear programming. Simulations of the identified model indicate that the model can reproduce the major as well as the minor hysteresis loops. An inverse control is further implemented to validate the accuracy of the identified model. Experiments show that hysteresis is effectively canceled and accurate tracking of a reference trajectory is achieved.
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e-mail: tyeh@pme.nthu.edu.tw
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June 2006
Technical Papers
Modeling and Identification of Hysteresis in Piezoelectric Actuators
T.-J. Yeh,
T.-J. Yeh
Department of Power Mechanical Engineering,
e-mail: tyeh@pme.nthu.edu.tw
National Tsing-Hua University
, Hsinchu, Taiwan 30043, R. O. C.
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Shin-Wen Lu,
Shin-Wen Lu
Department of Power Mechanical Engineering,
National Tsing-Hua University
, Hsinchu, Taiwan 30043, R. O. C.
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Ting-Ying Wu
Ting-Ying Wu
Department of Power Mechanical Engineering,
National Tsing-Hua University
, Hsinchu, Taiwan 30043, R. O. C.
Search for other works by this author on:
T.-J. Yeh
Department of Power Mechanical Engineering,
National Tsing-Hua University
, Hsinchu, Taiwan 30043, R. O. C.e-mail: tyeh@pme.nthu.edu.tw
Shin-Wen Lu
Department of Power Mechanical Engineering,
National Tsing-Hua University
, Hsinchu, Taiwan 30043, R. O. C.
Ting-Ying Wu
Department of Power Mechanical Engineering,
National Tsing-Hua University
, Hsinchu, Taiwan 30043, R. O. C.J. Dyn. Sys., Meas., Control. Jun 2006, 128(2): 189-196 (8 pages)
Published Online: May 2, 2005
Article history
Received:
June 18, 2004
Revised:
May 2, 2005
Citation
Yeh, T., Lu, S., and Wu, T. (May 2, 2005). "Modeling and Identification of Hysteresis in Piezoelectric Actuators." ASME. J. Dyn. Sys., Meas., Control. June 2006; 128(2): 189–196. https://doi.org/10.1115/1.2192819
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