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Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 627035, 18 pages
http://dx.doi.org/10.1155/2010/627035
Research Article

Robust Control of Continuous Bioprocesses

Department of Mathematics, Bohai University, Jinzhou 121000, China

Received 25 March 2010; Revised 17 May 2010; Accepted 5 July 2010

Academic Editor: John Burns

Copyright © 2010 Gongxian Xu. 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. E. Carson, D. D. Feng, M.-N. Pons, R. Soncini-Sessa, and G. van Straten, “Dealing with bio- and ecological complexity: challenges and opportunities,” Annual Reviews in Control, vol. 30, no. 1, pp. 91–101, 2006. View at Publisher · View at Google Scholar · View at Scopus
  2. J. C. Doyle, K. Glover, P. P. Khargonekar, and B. A. Francis, “State-space solutions to standard 2 and control problems,” IEEE Transactions on Automatic Control, vol. 34, no. 8, pp. 831–847, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. S. Skogestad and I. Postlethwaite, Multivariable Feedback Control: Analysis and Design, Wiley, New York, NY, USA, 1996.
  4. G. E. Dullerud and F. Paganini, A Course in Robust Control Theory: A Convex Approach, Springer, Berlin, Germany, 2000.
  5. I. R. Petersen, V. A. Ugrinovskii, and A. V. Savkin, Robust Control Design Using H-Methods, Communications and Control Engineering Series, Springer, London, UK, 2000. View at MathSciNet
  6. X. P. Li, B. C. Chang, S. S. Banda, and H. H. Yeh, “Robust control systems design using H optimization theory,” Journal of Guidance, Control, and Dynamics, vol. 15, no. 4, pp. 944–952, 1992. View at Google Scholar · View at Scopus
  7. M. G. Ortega and F. R. Rubio, “Systematic design of weighting matrices for the H mixed sensitivity problem,” Journal of Process Control, vol. 14, no. 1, pp. 89–98, 2004. View at Publisher · View at Google Scholar · View at Scopus
  8. R. S. Parker, F. J. Doyle III, J. H. Ward, and N. A. Peppas, “Robust H glucose control in diabetes using a physiological model,” AIChE Journal, vol. 46, no. 12, pp. 2537–2549, 2000. View at Publisher · View at Google Scholar · View at Scopus
  9. E. Ruiz-Velázquez, R. Femat, and D. U. Campos-Delgado, “Blood glucose control for type I diabetes mellitus: a robust tracking H problem,” Control Engineering Practice, vol. 12, no. 9, pp. 1179–1195, 2004. View at Publisher · View at Google Scholar · View at Scopus
  10. E. Elisante, G. P. Rangaiah, and S. Palanki, “Robust controller synthesis for multivariable nonlinear systems with unmeasured disturbances,” Chemical Engineering Science, vol. 59, no. 5, pp. 977–986, 2004. View at Publisher · View at Google Scholar · View at Scopus
  11. P. G. Georgieva and S. Feyo De Azevedo, “Robust control design of an activated sludge process,” International Journal of Robust and Nonlinear Control, vol. 9, no. 13, pp. 949–967, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. S. Stoyanov and I. Simeonov, “Robust compensator control of continuous fermentation processes,” Bioprocess and Biosystems Engineering, vol. 15, no. 6, pp. 295–300, 1996. View at Publisher · View at Google Scholar · View at Scopus
  13. T. T. Lee, F. Y. Wang, and R. B. Newell, “Robust multivariable control of complex biological processes,” Journal of Process Control, vol. 14, no. 2, pp. 193–209, 2004. View at Publisher · View at Google Scholar · View at Scopus
  14. S. K. Nguang and X. D. Chen, “Robust control of a class of continuous fermentation processes,” Applied Mathematics Letters, vol. 12, no. 6, pp. 61–69, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. F. Renard, A. V. Wouwer, S. Valentinotti, and D. Dumur, “A practical robust control scheme for yeast fed-batch cultures—an experimental validation,” Journal of Process Control, vol. 16, no. 8, pp. 855–864, 2006. View at Publisher · View at Google Scholar · View at Scopus
  16. G. Quiroz and R. Femat, “Theoretical blood glucose control in hyper- and hypoglycemic and exercise scenarios by means of an H algorithm,” Journal of Theoretical Biology, vol. 263, no. 1, pp. 154–160, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. Z. L. Xiu, A.-P. Zeng, and L. J. An, “Mathematical modeling of kinetics and research on multiplicity of glycerol bioconversion to 1, 3-propanediol,” Journal of Dalian University of Technology, vol. 40, no. 4, pp. 428–433, 2000. View at Google Scholar