Improvement of the Performance of Hysteresis Compensation in SMA Actuators by Using Inverse Preisach Model in Closed - Loop Control System

  • Ahn Kyoung-Kwan (School of Mechanical and Automotive Engineering, University of Ulsan) ;
  • Kha Nguyen-Bao (Graduate School of Mechanical and Automotive Engineering, University of Ulsan)
  • Published : 2006.05.01


The aim of this paper is to increase the performance of hysteresis compensation for Shape Memory Alloy (SMA) actuators by using inverse Preisach model in closed-loop control system. This is used to reduce hysteresis effects and improve accuracy for the displacement of SMA actuators. Firstly, hysteresis is identified by numerical Preisach model implementation. The geometrical interpretation from first order transition curves is used for hysteresis modeling. Secondly, the inverse Preisach model is formulated and incorporated in closed-loop PID control system in order to obtain desired current-to-displacement relationship with hysteresis reducing. The experimental results for hysteresis compensation by using this method are also shown in this paper.


  1. ?Choi, B. J., Lee, Y. J. and Choi, B. Y., 2004, 'Fast Preisach Modeling Method for Shape Memory Alloy Actuators Using Major Hysteresis Loop,' Smart Material Structures, Vol. 13, pp. 1069-1080
  2. Choi, J. J., Kim, J. S. and Han, S. I., 2004, 'Pre-sliding Friction Control Using the Sliding Mode Controller with Hysteresis Friction Compensator,' KSME International Journal, Vol. 18, pp. 1755-1762
  3. Cruz-Hernandez, J. M. and Hayward, V., 1997, 'On the Linear Compensation of hYsteresis,' Proceedings of IEEE Conference on Decision and Control, Vol. 2, pp. 1956-1957
  4. Cruz-Hernandez, J. M. and Hayward, V., 2001, 'Phase Control Approach to Hysteresis Reducing,' IEEE Transactions on Control Systems Technology, Vol. 9, No. 1, pp. 17-26
  5. Hasegawa, Tadahiro, Majima and Sumiko, 1998, 'Control System to Compensate the Hysteresis by Preisach Model on SMA Actuator,' Proceedings of the International Symposium on Micromechatronics and Human Science, pp. 171-176
  6. Hughes, D. and Wen, J. T., 1997, 'Preisach Modeling of Piezoceramic and Shape Memory Alloys Hysteresis,' Smart Material Structures, Vol. 3, pp. 287-300
  7. Mayergoyz, I. D., 2003, 'Mathematical Models of Hysteresis and Their Applications,' Elsevier Science Inc.
  8. Nakmahachalasint, Ngo, D. T. K. and Quoc, L. V., 2002, 'A Static Hysteresis Model for Power Ferrites,' IEEE Transactions on Power Electronics, Vol. 17, No. 4, pp.453-460
  9. Nealis, J. M. and Smith, R. C., 2002, 'Nonlinear Adaptive Parameter Estimation Algorithms for Hysteresis Model of Magnetostrictive Actuators,' Proceedings of SPIE - the International Society for Optical Engineering 4693, pp. 25-36
  10. Samir, Mittal, Menq and Chia-Hsiang, 2000, 'Hysteresis Compensation in Electromagnetic ?Actuators Through Preisach Model Inversion,' IEEE/ASME Transactions on Mechatronics, Vol. 5, No. 4, pp. 394-409
  11. Smith, R. C. and Massad, J. E., 2001, 'A Unified Methodology for Modeling Hysteresis in Ferroelectric, Ferromagnetic and Ferroelastic Ma?terials,' Proceeding of the ASME Design Engineering Technical Conference, Vol. 6 B, pp. 1389-1398
  12. Tan, X. and Baras, J. S., 2002, 'Modeling and Control of a Magnetostrictive Actuators,' Automatica, Vol. 40, pp. 1469-1480