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Journal of Applied Mathematics
Volume 2012, Article ID 610971, 20 pages
http://dx.doi.org/10.1155/2012/610971
Research Article

Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances

1R&D Division, Inventec Corporation, 66 Hou-Kang Street, Shin-Lin District, Taipei 111, Taiwan
2Department of Electrical Engineering, National Chung Hsing University, Taichung 40227, Taiwan

Received 22 February 2012; Revised 13 June 2012; Accepted 14 June 2012

Academic Editor: Baocang Ding

Copyright © 2012 Yen-Hsiu Yang and Cheng-Lun Chen. 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. B. A. Francis and W. M. Wonham, “The internal model principle of control theory,” Automatica, vol. 12, no. 5, pp. 457–465, 1976. View at Google Scholar
  2. V. O. Nikiforov, “Adaptive non-linear tracking with complete compensation of unknown disturbances,” European Journal of Control, vol. 4, pp. 132–139, 1998. View at Google Scholar
  3. Z. Ding, “Adaptive disturbance rejection of nonlinear systems in an extended output feedback form,” IET Control Theory & Applications, vol. 1, no. 1, pp. 298–303, 2007. View at Publisher · View at Google Scholar
  4. L. Marconi, A. Isidori, and A. Serrani, “Input disturbance suppression for a class of feedforward uncertain nonlinear systems,” Systems & Control Letters, vol. 45, no. 3, pp. 227–236, 2002. View at Publisher · View at Google Scholar
  5. L. Gentili and L. Marconi, “Robust nonlinear disturbance suppression of a magnetic levitation system,” Automatica, vol. 39, no. 4, pp. 735–742, 2003. View at Publisher · View at Google Scholar
  6. C. Kravaris, V. Sotiropoulos, C. Georgiou, N. Kazantzis, M. Xiao, and A. J. Krener, “Nonlinear observer design for state and disturbance estimation,” Systems & Control Letters, vol. 56, no. 11-12, pp. 730–735, 2007. View at Publisher · View at Google Scholar
  7. B. Mahawan and Z.-H. Luo, “Repetitive control of tracking systems with time-varying periodic references,” International Journal of Control, vol. 73, no. 1, pp. 1–10, 2000. View at Publisher · View at Google Scholar
  8. C. L. Chen, G. T. C. Chiu, and J. Allebach, “Robust spatial-sampling controller design for banding reduction in electrophotographic process,” Journal of Imaging Science and Technology, vol. 50, no. 6, pp. 530–536, 2006. View at Publisher · View at Google Scholar
  9. C. L. Chen and G. T. C. Chiu, “Spatially periodic disturbance rejection with spatially sampled robust repetitive control,” Journal of Dynamic Systems, Measurement, and Control, vol. 130, no. 2, pp. 11–21, 2008. View at Google Scholar
  10. M. Nakano, J. H. She, Y. Mastuo, and T. Hino, “Elimination of position-dependent disturbances in constant-speed-rotation control systems,” Control Engineering Practice, vol. 4, no. 9, pp. 1241–1248, 1996. View at Publisher · View at Google Scholar
  11. C. L. Chen and Y. H. Yang, “Spatially periodic disturbance rejection for uncertain rotational motion systems using spatial domain adaptive backstepping repetitive control,” in Proceedings of the 33rd Annual Conference of the IEEE Industrial Electronics Society, pp. 638–643, Taipei, Taiwan, November 2007.
  12. Y. H. Yang and C. L. Chen, “Spatially periodic disturbance rejection using spatial-based output feedback adaptive backstepping repetitive control,” in Proceeding of the American Control Conference, pp. 4117–4122, 2008.
  13. G. Kreisselmeier, “Adaptive observers with exponential rate of convergence,” IEEE Transactions on Automatic Control, vol. 22, no. 1, pp. 2–8, 1977. View at Publisher · View at Google Scholar
  14. R. Marino, G. L. Santosuosso, and P. Tomei, “Robust adaptive observers for nonlinear systems with bounded disturbances,” IEEE Transactions on Automatic Control, vol. 46, no. 6, pp. 967–972, 2001. View at Publisher · View at Google Scholar
  15. S. C. Tong, X. L. He, and H. G. Zhang, “A combined backstepping and small-gain approach to robust adaptive fuzzy output feedback control,” IEEE Transactions on Fuzzy Systems, vol. 17, no. 5, pp. 1059–1069, 2009. View at Publisher · View at Google Scholar
  16. S. Tong and Y. Li, “Observer-based fuzzy adaptive control for strict-feedback nonlinear systems,” Fuzzy Sets and Systems, vol. 160, no. 12, pp. 1749–1764, 2009. View at Publisher · View at Google Scholar
  17. S. Tong, C. Li, and Y. Li, “Fuzzy adaptive observer backstepping control for MIMO nonlinear systems,” Fuzzy Sets and Systems, vol. 160, no. 19, pp. 2755–2775, 2009. View at Publisher · View at Google Scholar