Modeling of Piezoelectric Actuators Based on a New Rate-Independent Hysteresis Model
ABSTRACT
Accurate model representatives of piezoelectric actuators (PEAs) are important for both understanding the dynamic behaviors of PEAs and control scheme development. However, among the existing models, the most widely used classical Preisach hysteresis model are incapable of representing the commonly-encountered one-sided (non-negative voltage input range) hysteresis behaviors of PEAs. To solve this problem, a new rate-independent hysteresis model was developed for the one-sided hysteresis and then integrated with the models representative of creep and dynamics to form a single model for the PEAs. Experiments were carried out to validate the developed models.
Accurate model representatives of piezoelectric actuators (PEAs) are important for both understanding the dynamic behaviors of PEAs and control scheme development. However, among the existing models, the most widely used classical Preisach hysteresis model are incapable of representing the commonly-encountered one-sided (non-negative voltage input range) hysteresis behaviors of PEAs. To solve this problem, a new rate-independent hysteresis model was developed for the one-sided hysteresis and then integrated with the models representative of creep and dynamics to form a single model for the PEAs. Experiments were carried out to validate the developed models.
Cite this paper
nullJ. Peng and X. Chen, "Modeling of Piezoelectric Actuators Based on a New Rate-Independent Hysteresis Model," Modern Mechanical Engineering, Vol. 1 No. 2, 2011, pp. 25-30. doi: 10.4236/mme.2011.12004.
nullJ. Peng and X. Chen, "Modeling of Piezoelectric Actuators Based on a New Rate-Independent Hysteresis Model," Modern Mechanical Engineering, Vol. 1 No. 2, 2011, pp. 25-30. doi: 10.4236/mme.2011.12004.
References
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[1] S. Devasia, E. Eleftheriou and S.O.R. Moheimani, “A Survey of Control Issues in Nanopositioning,” IEEE Trans- actions on Control Systems Technology, Vol. 15, No. 5, 2007, pp. 802-823. doi:10.1109/TCST.2007.903345 [2] D. Croft, G. Shed and S. Devasia, “Creep, Hysteresis, and Vibration Compensation for Piezoactuators: Atomic Force Microscopy Application,” Journal of Dynamic Sys- tems, Measurement, and Control, Vol. 123, No. 1, 2001, pp. 35-43. doi:10.1115/1.1341197 [3] J. Y. Peng and X. B. Chen, “Hysteresis Models Based on a Novel Hysteresis Unit,” 2011, Unpublished. [4] I. Mayergoyz, “Mathematical Models of Hysteresis,” Physical Review Letters, Vol. 56, No. 15, 1986, pp. 1518- 1521. doi:10.1103/PhysRevLett.56.1518 [5] P. Ge and M. Jouaneh, “Generalized Preisach Model for Hysteresis Nonlinearity of Piezoceramic Actuators,” Pre- cision engineering, Vol. 20, No. 2, 1997, pp. 99-111. doi:10.1016/S0141-6359(97)00014-7 [6] H. Hu and R. Ben-Mrad, “On the Classical Preisach Model for Hysteresis in Piezoceramic Actuators,” Mecha- tronics, Vol. 13, No. 2, 2002, pp. 85-94. doi:10.1016/S0957-4158(01)00043-5 [7] G. Song, J. Zhao, X. Zhou, and J. A. De Abreu-García, “Tracking Control of a Piezoceramic Actuator with Hysteresis Compensation Using Inverse Preisach Model,” IEEE/ASME Transactions on Mechatronics, Vol. 10, No. 2, 2005, pp. 198-209. doi:10.1109/TMECH.2005.844708 [8] X. Yang, W. Li, Y. Wang, and G. Ye, “Modeling Hystere- sis in Piezo Actuator Based on Neural Networks,” Lecture Notes in Computer Science, Vol. 5370, 2008, pp. 290-296. doi:10.1007/978-3-540-92137-0_32 [9] X. B. Chen, Q. Zhang, D. Kang and W. Zhang, “On the Dynamics of Piezoactuated Positioning Systems,” Review of Scientific Instruments, Vol. 79, No. 11, 2008, pp. 116101- 1 to 116101-3.