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Journal of Applied Mathematics
Volume 2012, Article ID 451927, 16 pages
http://dx.doi.org/10.1155/2012/451927
Research Article

Identification of Hysteresis in Human Meridian Systems Based on NARMAX Model

1College of Information, Mechanical, and Electrical Engineering, Shanghai Normal University, Shanghai 200234, China
2School of Automation, Southeast University, 2 Sipailou, Nanjing 210096, China

Received 29 March 2012; Revised 17 September 2012; Accepted 1 October 2012

Academic Editor: Junjie Wei

Copyright © 2012 Yonghong Tan 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.

Linked References

  1. J. J. Tsuei, “Modern interpretation of acupuncture and the meridian system,” in Proceedings of the 2nd International Conference on Bioelectromagnetism, pp. 177–182, February 1998. View at Scopus
  2. H. Y. Yang, “The research and application of the dynamic testing system for point skin resistance,” Journal of Biomedical Engineering, vol. 16, no. 1, pp. 41–50, 1997. View at Google Scholar
  3. W. Zhang, R. Xu, and Z. Zhu, “The influence of acupuncture on the impedance measured by four electrodes on meridians,” Acupuncture and Electro-Therapeutics Research, vol. 24, no. 3-4, pp. 181–188, 1999. View at Google Scholar · View at Scopus
  4. A. C. Ahn, A. P. Colbert, B. J. Anderson et al., “Electrical properties of acupuncture points and meridians: a systematic review,” Bioelectromagnetics, vol. 29, no. 4, pp. 245–256, 2008. View at Publisher · View at Google Scholar · View at Scopus
  5. R. Becker, M. Reichmanis, A. Marino, and J. Spadaro, “Electrophysiological correlates of acupuncture points and meridians.,” Psychoenergetic Systems, vol. 1, pp. 105–112, 1976. View at Google Scholar
  6. R. M. Marino and B. Ro, “Electrical Correlatesof Acupuncture Points,” IEEE Transactions on Biomedical Engineering, vol. 22, pp. 533–535, 1975. View at Publisher · View at Google Scholar
  7. R. Voll, “Twenty years of electroacupuncture diagnosis in Germany. A progress report,” American Journal of Acupuncture, vol. 3, no. 1, pp. 7–17, 1975. View at Google Scholar · View at Scopus
  8. Y. Yamamoto and T. Yamamoto, “Dynamic System for the Measurement of Electrical Skin Impedance,” Medical Progress Through Technology, vol. 12, pp. 171–183, 1987. View at Google Scholar
  9. Z. Wang, Y. Tan, and M. Su, “Modeling of meridian channels,” in Proceedings of the 2nd International Conference on Biomedical Electronics and Devices (BIODEVICES '09), pp. 167–172, January 2009. View at Scopus
  10. H. Hu and R. Ben Mrad, “On the classical Preisach model for hysteresis in piezoceramic actuators,” Mechatronics, vol. 13, no. 2, pp. 85–94, 2003. View at Publisher · View at Google Scholar · View at Scopus
  11. Z. Włodarski, “Alternative preisach models,” Physica B, vol. 367, no. 1–4, pp. 237–242, 2005. View at Publisher · View at Google Scholar · View at Scopus
  12. J. W. Macki, P. Nistri, and P. Zecca, “Mathematical models for hysteresis,” SIAM Review A, vol. 35, no. 1, pp. 94–123, 1993. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. P. Ge and M. Jouaneh, “Modeling hysteresis in piezoceramic actuators,” Precision Engineering, vol. 17, no. 3, pp. 211–221, 1995. View at Google Scholar · View at Scopus
  14. R. Dong and Y. Tan, “A modified Prandtl-Ishlinskii modeling method for hysteresis,” Physica B, vol. 404, no. 8–11, pp. 1336–1342, 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. C. Li and Y. Tan, “A neural networks model for hysteresis nonlinearity,” Sensors and Actuators A, vol. 112, pp. 49–54, 2004. View at Publisher · View at Google Scholar
  16. X. Zhao and Y. Tan, “Neural network based identification of Preisach-type hysteresis in piezoelectric actuator using hysteretic operator,” Sensors and Actuators A, vol. 126, no. 2, pp. 306–311, 2006. View at Publisher · View at Google Scholar · View at Scopus
  17. S. Chen and S. A. Billings, “Representations of nonlinear systems: the NARMAX model,” International Journal of Control, vol. 49, no. 3, pp. 1013–1032, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  18. H. Akaike, “A new look at the statistical model identification,” IEEE Transactions on Automatic Control, vol. AC-19, pp. 716–723, 1974. View at Google Scholar · View at Zentralblatt MATH
  19. R. Dong, Y. Tan, and H. Chen, “Recursive identification for dynamic systems with backlash,” Asian Journal of Control, vol. 12, no. 1, pp. 26–38, 2010. View at Publisher · View at Google Scholar
  20. M. Boutayeb and M. Darouach, “Recursive identification method for MISO Wiener-Hammerstein model,” IEEE Transactions on Automatic Control, vol. 40, no. 2, pp. 287–291, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH