Table of Contents Author Guidelines Submit a Manuscript
Journal of Control Science and Engineering
Volume 2012, Article ID 478346, 8 pages
Research Article

Fractional-Order Control of a Nonlinear Time-Delay System: Case Study in Oxygen Regulation in the Heart-Lung Machine

Faculty of Electrical and Computer Engineering, Babol Noshirvani University of Technology, Babol 47148-71167, Iran

Received 6 January 2012; Revised 27 April 2012; Accepted 18 May 2012

Academic Editor: Peilin Fu

Copyright © 2012 S. J. Sadati 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. P. H. Kay and C. M. Munsch, Techniques in Extracorporeal Circulation, Arnold, London, UK, 2004.
  2. M. Hexamer and J. Werner, β€œA mathematical model for the gas transfer in an oxygenator,” in Proceedings of the 5th IFAC Symposium on Modelling and Control in Biomedical Systems, Melbourne, Australia, 2003.
  3. J. Allen, A. C. Fisher, J. D. S. Gaylor, and A. R. Razieh, β€œDevelopment of a digital adaptive control system for PO2 regulation in a membrane oxygenator,” Journal of Biomedical Engineering, vol. 14, no. 5, pp. 404–411, 1992. View at Google Scholar Β· View at Scopus
  4. K. J. Åström and T. Hägglund, β€œAutomatic tuning of simple regulators with specifications on phase and amplitude margins,” Automatica, vol. 20, no. 5, pp. 645–651, 1984. View at Google Scholar Β· View at Scopus
  5. K. J. Åström and T. Hägglund, PID Controllers: Theory, Design and Tuning, Instrument Society of America, North Carolina, USA, 1995.
  6. R. Toscano, β€œA simple robust PI/PID controller design via numerical optimization approach,” Journal of Process Control, vol. 15, no. 1, pp. 81–88, 2005. View at Publisher Β· View at Google Scholar Β· View at Scopus
  7. C. A. Monje, Y. Chen, B. Vinagre, and V. Feliu, Fractional Order Systems and Controls—Fundamentals and Applications, Springer, 1st edition, 2010.
  8. I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, Calif, USA, 1999.
  9. I. Podlubny, β€œFractional-order systems and PIλDμ-controllers,” IEEE Transactions on Automatic Control, vol. 44, no. 1, pp. 208–214, 1999. View at Google Scholar Β· View at Scopus
  10. B. M. Vinagre, C. A. Monje, and A. J. Calderón, β€œFractional order systems and fractional order control actions,” in Proceedings of the 41st Conference on Decision and Control. Tutorial Workshop 2: Fractional Calculus Applications in Automatic Control and Robotics, Las Vegas, Nev, USA, 2002.
  11. R. Caponetto, L. Fortuna, and D. Porto, β€œA new tuning strategy for a non-integer order PID controller,” in Proceedings of the 1st IFAC Workshop on Fractional Differentiation and Its Application, pp. 168–173, ENSEIRB, Bordeaux, France, 2004.
  12. C. A. Monje, B. M. Vinagre, V. Feliu, and Y. Chen, β€œTuning and auto-tuning of fractional order controllers for industry applications,” Control Engineering Practice, vol. 16, no. 7, pp. 798–812, 2008. View at Publisher Β· View at Google Scholar Β· View at Scopus
  13. S. Sastry, Nonlinear Systems, Springer, New York, NY, USA, 1999.
  14. J. Slotine, Applied Nonlinear Control, Prentice Hall, 1991.
  15. J. Douglas Cooper,
  16. J. G. Ziegler and N. B. Nichols, β€œOptimum settings for automatic controllers,” Transactions of the American Society of Mechanical Engineers, vol. 64, pp. 759–768, 1942. View at Google Scholar
  17. D. E. Goldberg, Genetic Algorithms in Search Optimization and Machine Learning, Addison Wesley, 1st edition, 1989.