Table of Contents
ISRN Signal Processing
Volume 2011, Article ID 725108, 18 pages
Research Article

Iterative Smooth Variable Structure Filter for Parameter Estimation

Department of Mechanical Engineering, McMaster University, Hamilton, ON, Canada L8S 4L7

Received 28 February 2011; Accepted 20 March 2011

Academic Editors: I. Guler and E. Salerno

Copyright © 2011 Mohammad Al-Shabi and Saeid Habibi. 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. S. Habibi, “Performance measures of the variable structure filter,” Transactions of the Canadian Society for Mechanical Engineering, vol. 29, no. 2, pp. 267–295, 2005. View at Google Scholar · View at Scopus
  2. M. Grewal and A. Andrews, Kalman Filtering: Theory and Practice Using MATLAB, John Wiley & Sons, Hoboken, NJ, USA, 2nd edition, 2001.
  3. S. Habibi and R. Burton, “The variable structure filter,” Dynamic Systems, Measurement, and Control, vol. 125, no. 3, pp. 287–293, 2003. View at Google Scholar
  4. R. Kalman, “A new approach to linear filtering and prediction problems,” Basic Engineering, vol. 82, no. 1, pp. 35–45, 1960. View at Google Scholar
  5. G. Welch and G. Bishop, An Introduction to the Kalman Filter, University of North Carolina, Durham, NC, USA, 2006.
  6. S. Haykin, Adaptive Filter Theory, Prentice Hall, Chapel Hill, NC, USA, 4th edition, 2002.
  7. Y. Bar-Shalom, X. Li, and T. Kirubarajan, Estimation with Applications to Tracking and Navigation, John Wiley & Sons, Hoboken, NJ, USA, 2001.
  8. N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series, John Wiley & Sons, Hoboken, NJ, USA, 1949.
  9. D. Simon, “From here to infinity,” Embedded Systems Programming, vol. 14, no. 11, pp. 20–30, 2001. View at Google Scholar
  10. D. Simon, Optimal State Estimation: Kalman, H-Infinity, and Nonlinear Approaches, John Wiley & Sons, Hoboken, NJ, USA, 2006.
  11. B. Ristic, S. Arulampalam, and N. Gordon, Beyond the Kalman Filter: Particle Filters for Tracking Applications, Artech House, Boston, Mass, USA, 2004.
  12. S. Habibi, “The extended variable structure filter,” Journal of Dynamic Systems, Measurement, and Control, vol. 128, no. 2, pp. 341–351, 2006. View at Google Scholar
  13. S. Habibi, S. Wang, and R. Burton, A Smooth Variable Structure Filter For State Estimation, International Association of Science and Technology for Development, Washington, DC, USA, 2007.
  14. S. Habibi, “Parameter estimation using a combined variable structure and kalman filtering approach,” Journal of Dynamic Systems Measurement and Control-Transactions of The Asme, vol. 130, no. 5, pp. 0510041–05100414, 2008. View at Google Scholar
  15. S. Habibi, The Variable Structure Filter and Its Application to a New Micro-Precision Actuation System, Mechanical Engineering Department, McMaster University, Hamilton, Canada, 2006.
  16. L. Han and S. Habibi, A Fuzzy—Kalman Filtering Strategy For State Estimation, University of Saskatchewan, Saskatoon, Canada, 2004.
  17. A. Kaw and E. Kalu, Numerical Methods with Applications: Abridged, Lulu, Raleigh, NC, USA, 1st edition, 2011.
  18. S. R. Habibi and R. Burton, “Parameter identification for a high-performance hydrostatic actuation system using the variable structure filter concept,” Journal of Dynamic Systems, Measurement, and Control, vol. 129, no. 2, pp. 229–235, 2007. View at Publisher · View at Google Scholar · View at Scopus
  19. S. Boyd, V. Balakrishnan, and P. Kabamba, “A bisection method for computing the H norm of a transfer matrix and related problems,” Mathematics of Control, Signals, and Systems, vol. 2, no. 3, pp. 207–219, 1989. View at Publisher · View at Google Scholar · View at Scopus
  20. R. E. Moore, Methods and Applications of Interval Analysis, SIAM, Philadelphia, Pa, USA, 1979.
  21. S. Wang, Integrated control and estimation based on sliding mode control applied to electrohydraulic actuator, Ph.D. thesis, University of Saskatchewan, Saskatchewan, Canada, 2007.
  22. S. Habibi and A. Goldenberg, “Design of a new high-performance electrohydraulic actuator,” IEEE/ASME Transactions on Mechatronics, vol. 5, no. 2, pp. 158–164, 2000. View at Publisher · View at Google Scholar · View at Scopus