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Modelling and Simulation in Engineering
Volume 2012, Article ID 912071, 11 pages
http://dx.doi.org/10.1155/2012/912071
Research Article

Nonlinear MIMO Control of a Continuous Cooling Crystallizer

1Departamento de Ingenieria Quimica, Instituto Tecnológico de Celaya, Avenida Tecnológico y García Cubas S/N, 38010 Celaya, GTO, Mexico
2Facultad de Química, Universidad de Guanajuato, Noria Alta s/n, 36050 Guanajuato, GTO, Mexico

Received 11 April 2012; Accepted 20 September 2012

Academic Editor: Ahmed Rachid

Copyright © 2012 Pedro Alberto Quintana-Hernández 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. B. Rawlings, S. M. Miller, and W. R. Witkowski, “Model identification and control of solution crystallization processes: a review,” Industrial and Engineering Chemistry Research, vol. 32, no. 7, pp. 1275–1296, 1993. View at Google Scholar · View at Scopus
  2. B. G. Lakatos, T. J. Sapundzhiev, and J. Garside, “Stability and dynamics of isothermal CMSMPR crystallizers,” Chemical Engineering Science, vol. 62, no. 16, pp. 4348–4364, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. P. K. Pathath and A. Kienle, “Nonlinear oscillations in ammonium sulfate crystallization: a comparison of different model predictions,” Industrial and Engineering Chemistry Research, vol. 42, no. 26, pp. 6949–6955, 2003. View at Google Scholar · View at Scopus
  4. Q. Yin, Y. Song, and J. Wang, “Analyses of stability and dynamic patterns of a continuous crystallizer with a size-dependent crystal growth rate,” Industrial and Engineering Chemistry Research, vol. 42, no. 3, pp. 630–635, 2003. View at Google Scholar · View at Scopus
  5. B. G. Lakatos, “Uniqueness and multiplicity in isothermal CMSMPR crystallizers,” AIChE Journal, vol. 42, no. 1, pp. 285–289, 1996. View at Google Scholar · View at Scopus
  6. B. G. Lakatos, “Stability and dynamics of continuous crystallizers,” Computers and Chemical Engineering, vol. 18, supplement 1, pp. S427–S431, 1994. View at Publisher · View at Google Scholar · View at Scopus
  7. P. D. Christofides, N. El-Farra, M. Li, and P. Mhaskar, “Model-based control of particulate processes,” Chemical Engineering Science, vol. 63, no. 5, pp. 1156–1172, 2008. View at Publisher · View at Google Scholar · View at Scopus
  8. M. Bravi and A. Chianese, “Neuro-fuzzy control of a continuous cooled MSMPR crystallizer,” Chemical Engineering and Technology, vol. 26, no. 3, pp. 262–266, 2003. View at Publisher · View at Google Scholar · View at Scopus
  9. J. Nývlt and J. W. Mullin, “The periodic behaviour of continuous crystallizers,” Chemical Engineering Science, vol. 25, no. 1, pp. 131–147, 1970. View at Google Scholar · View at Scopus
  10. A. Isidori, Nonlinear Control Systems, Springer, Berlin, Germany, 3rd edition, 1995.
  11. H. Nijmeijer and A. J. V. D. Schaft, Nonlinear Dynamical Control Systems, Springer, New York, NY, USA, 1990.
  12. W. Xie, S. Rohani, and A. Phoenix, “Dynamic modeling and operation of a seeded batch cooling crystallizer,” Chemical Engineering Communications, vol. 187, pp. 229–249, 2001. View at Google Scholar · View at Scopus
  13. C. Kravaris and J. C. Kantor, “Geometric methods for nonlinear process control. 1. Background,” Industrial and Engineering Chemistry Research, vol. 29, no. 12, pp. 2295–2310, 1990. View at Google Scholar · View at Scopus
  14. C. Kravaris and J. C. Kantor, “Geometric methods for nonlinear process control. 2. Controller synthesis,” Industrial and Engineering Chemistry Research, vol. 29, no. 12, pp. 2310–2323, 1990. View at Google Scholar · View at Scopus
  15. C. Kravaris and C. B. Chung, “Nonlinear state feedback synthesis by global input/output linearization,” AIChE Journal, vol. 33, no. 4, pp. 592–603, 1987. View at Google Scholar · View at Scopus
  16. R. Femat, J. Alvarez-Ramírez, and M. Rosales-Torres, “Robust asymptotic linearization via uncertainty estimation: regulation of temperature in a fluidized bed reactor,” Computers and Chemical Engineering, vol. 23, no. 6, pp. 697–708, 1999. View at Publisher · View at Google Scholar · View at Scopus
  17. H. O. Méndez-Acosta, D. U. Campos-Delgado, R. Femat, and V. González-Alvarez, “A robust feedforward/feedback control for an anaerobic digester,” Computers and Chemical Engineering, vol. 29, no. 7, pp. 1613–1623, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. M. A. Henson and D. E. Seborg, Nonlinear Process Control, Prentice Hall, Upper Saddle River, NJ, USA, 1997.
  19. G. Szederkényi, N. R. Kristensen, K. M. Hangos, and S. Bay Jørgensen, “Nonlinear analysis and control of a continuous fermentation process,” Computers and Chemical Engineering, vol. 26, no. 4-5, pp. 659–670, 2002. View at Publisher · View at Google Scholar · View at Scopus
  20. T. Chiu and P. D. Christofides, “Nonlinear control of particulate processes,” AIChE Journal, vol. 45, no. 6, pp. 1279–1297, 1999. View at Google Scholar · View at Scopus
  21. T. Y. Chiu and P. D. Christofides, “Robust control of particulate processes using uncertain population balances,” AIChE Journal, vol. 46, no. 2, pp. 266–280, 2000. View at Google Scholar · View at Scopus
  22. P. D. Christofides, Model-Based Control of Particulate Processes, Kluwer Academic, Dordrecht, The Netherlands, 2002.
  23. N. H. El-Farra, T. Y. Chiu, and P. D. Christofides, “Analysis and control of particulate processes with input constraints,” AIChE Journal, vol. 47, no. 8, pp. 1849–1865, 2001. View at Publisher · View at Google Scholar · View at Scopus
  24. J. R. Corriou and S. Rohani, “Nonlinear control of a batch crystallizer,” Chemical Engineering Communications, vol. 189, no. 10, pp. 1415–1436, 2002. View at Publisher · View at Google Scholar · View at Scopus
  25. M. De la Sen, A. Ibeas, and S. Alonso-Quesada, “Feedback linearization-based vaccination control strategies for true-mass action type SEIR epidemic models,” Nonlinear Analysis: Modelling and Control, vol. 16, pp. 283–314, 2011. View at Google Scholar
  26. E. De Tuglie, S. M. Iannone, and F. Torelli, “Feedback-linearization and feedback-feedforward decentralized control for multimachine power system,” Electric Power Systems Research, vol. 78, no. 3, pp. 382–391, 2008. View at Publisher · View at Google Scholar · View at Scopus
  27. D. Shi, N. H. El-Farra, M. Li, P. Mhaskar, and P. D. Christofides, “Predictive control of particle size distribution in particulate processes,” Chemical Engineering Science, vol. 61, no. 1, pp. 268–281, 2006. View at Publisher · View at Google Scholar · View at Scopus
  28. N. Moldoványi, B. G. Lakatos, and F. Szeifert, “Model predictive control of MSMPR crystallizers,” Journal of Crystal Growth, vol. 275, no. 1-2, pp. e1349–e1354, 2005. View at Publisher · View at Google Scholar · View at Scopus
  29. A. D. Randolph and M. A. Larson, Theory of Particulate Processes, Analysis and Techniques of Continuous Crystallization, Academic Press, New York, NY, USA, 1971.
  30. L. I. Salcedo-Estrada, “Control de cristalizadores batch,” in Chemical Engineering Department, Instituto Tecnológico de Celaya, Guanajuato, Mexico, 2000. View at Google Scholar
  31. D. Ramkrishna, Population Balances: Theory and Applications to Particulate Systems in Engineering,, Academic, San Diego, Calif, USA, 2000.
  32. J. R. Lugo-Martinez, “Estudio para la determinación de la zona de saturación metaestable a través del análisis del proceso de nucleación para el sulfato de amonio,” Chemical Engineering Department, Instituto Tecnológico de Celaya, Guanajuato, Mexico, 2005. View at Google Scholar
  33. R. H. Perry, J. O. Maloney, and D. W. Green, Perry's Chemical Engineers' Handbook, McGraw-Hill, New York, NY, USA, 1997.
  34. J. J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice Hall, Englewood Cliffs, NJ, USA, 1991.