Àú³ÎÁ¤º¸
³í¹® ÀÛ¼º¹ý
Âü°í¹®ÇåDB
  ¡á Home > ¿¬±¸Á¤º¸ > ¹®ÇåDB > ÇмúÁö °Ë»ö
Korean Journal of Chemical Engineering, Vol.21, No.1, 168-176, 2004 Full Text via CrossRef EndNote·Î ¼­Áö¹ÝÃâÇϱâ
Nonlinear Model Order Reduction and Control of Particle Size Distribution in a Semibatch Vinyl Acetate/Butyl Acrylate Emulsion Copolymerization Reactor
Department of Chemical Engineering, University of California, Santa Barbara, CA 93106, USA

This paper addresses the control of the full particle size distribution (PSD) in a semibatch emulsion copolymerization reactor. The numerical approximation of a fundamental population balance model results in a high order system to accurately describe the distribution of particle size; therefore, model order reduction is required. Pseudo random input signals are input to the mechanistic model to generate a data set which covers the reachable region of the system, on the basis of which the transformation matrices are calculated by principal component analysis (PCA). A linear time varying model with reduced order obtained from the transformation matrices is augmented in the prediction equation of linear model predictive control. The performance of the controller is evaluated to drive the particle size distribution at the final time of the batch to the desired distribution in the presence of disturbances.
[References]
  1. Aling H, Ebert JL, Emami-Naeini A, Kosut RL, "Application of Nonlinear Model Reduction to Rapid Thermal Processing (RTP) Reactors," Proc. Int. Rapid Thermal Processing Conf., 356, 1996
  2. Bangia AK, Batcho PF, Kevrekidis IG, Karniadakis GE, SIAM J. Sci. Comput., 18, 775, 1997 Full Text via CrossRef
  3. Boley DL, Circ. Syst. Signal Process., 13, 733, 1994 Full Text via CrossRef
  4. Chiu T, Christofides PD, AIChE J., 45, 1279, 1999 Full Text via CrossRef
  5. Coen EM, Gilbert RG, Morrison BR, Leube H, Peach S, Polymer, 39(26), 7099, 1998 Full Text via CrossRef
  6. Crowley TJ, Meadows ES, Kostoulas E, Doyle FJ, J. Process Control, 10(5), 419, 2000 Full Text via CrossRef
  7. Elizalde O, Vicente M, Leiza JR, Asua JM, Polym. React. Eng., 10, 265, 2002 Full Text via CrossRef
  8. Flores-Cerrillo J, MacGregor JF, Ind. Eng. Chem. Res., 41(7), 1805, 2002 Full Text via CrossRef
  9. Garcia CE, Morari M, Ind. Eng. Chem. Process Des. Dev., 21, 308, 1982 Full Text via CrossRef
  10. Geladi P, Kowalski BR, Anal. Chim. Acta, 185, 1, 1986 Full Text via CrossRef
  11. Gelbard F, Tambour Y, Seinfeld JH, J. Colloid Interface Sci., 68, 363, 1980
  12. Gilbert RG, "Emulsion Polymerization: A Mechanistic Approach," Academic Press, 1995
  13. Graham MD, Kevrekidis IG, Comput. Chem. Eng., 20(5), 495, 1996 Full Text via CrossRef
  14. Henson MA, "Distribution Control of Particulate Systems Based on Population Balance Equation Models," Proc. Am. Control. Conf., 3967, 2003
  15. Hounslow MJ, AIChE J., 36, 106, 1990 Full Text via CrossRef
  16. Immanuel CD, Doyle FJ, Chem. Eng. Sci., 57(20), 4415, 2002 Full Text via CrossRef
  17. Immanuel CD, Cordeiro CF, Sundaram SS, Meadows ES, Crowley TJ, Doyle FJ, Comput. Chem. Eng., 26(7-8), 1133, 2002 Full Text via CrossRef
  18. Immanuel CD, Doyle FJ, Chem. Eng. Sci., 58(16), 3681, 2003 Full Text via CrossRef
  19. Immanuel CD, Doyle FJ, Cordeiro CF, Sundaram SS, AIChE J., 49(6), 1392, 2003 Full Text via CrossRef
  20. Kesavan P, Lee JH, Saucedo V, Krishnagopalan GA, J. Process Control, 10(2-3), 229, 2000 Full Text via CrossRef
  21. Kumar S, Ramkrishna D, Comput. Chem. Eng., 52, 4659, 1997
  22. Landgrebe JD, Pratsinis SE, J. Colloid Interface Sci., 139, 63, 1990 Full Text via CrossRef
  23. Lee JH, Ricker NL, Ind. Eng. Chem. Res., 33(6), 1530, 1994 Full Text via CrossRef
  24. Loffler HP, Marquardt W, "On the Order Reduction of Nonlinear Differential-Algebraic Process Models," Proc. Am. Control Conf., 1546, 1992
  25. Maner BR, Doyle FJ, Ogunnaike BA, Pearson RK, Automatica, 32(9), 1285, 1996 Full Text via CrossRef
  26. Mantzaris NV, Daoutidis P, Srienc F, Comput. Chem. Eng., 25(11-12), 1411, 2001 Full Text via CrossRef
  27. Min KW, Ray WH, J. Macromol. Sci.-Rev. Macromol. Chem. Phys., C11, 177, 1974
  28. Ramkrishna D, Rev. Chem. Eng., 3, 49, 1985
  29. Ramkrishna D, "Population Balances," Academic Press, San Diego, 2000
  30. Rawlings JB, Ray WH, Chem. Eng. Sci., 42, 2767, 1987 Full Text via CrossRef
  31. Saldivar E, Dafniotis P, Ray WH, J. Macromol. Sci.-Rev. Macromol. Chem. Phys., C38, 207, 1998
  32. Sharaf MA, Illman DL, Kowalski BR, "Chemometrics," John Wiley & Sons, New York, 1986
  33. Shvartsman SY, Kevrekidis IG, AIChE J., 44(7), 1579, 1998 Full Text via CrossRef
  34. Su T, Craig PR, J. Guid. Control. Dynam., 14, 260, 1991
  35. Valappil J, Georgakis C, AIChE J., 48(9), 2006, 2002 Full Text via CrossRef
  36. Yabuki Y, Macgregor JF, Ind. Eng. Chem. Res., 36(4), 1268, 1997 Full Text via CrossRef
  37. Zeaiter J, Romagnoli JA, Barton GW, Gomes VG, Hawkett BS, Gilbert RG, Chem. Eng. Sci., 57(15), 2955, 2002 Full Text via CrossRef
About CrossRef
CrossRef is an independent membership association, founded and directed by publishers. CrossRef¡¯s mandate is to connect users to primary research content, by enabling publishers to do collectively what they can¡¯t do individually. CrossRef is also the official DOI registration agency for scholarly and professional publications. It operates a cross-publisher citation linking system that allows a researcher to click on a reference citation on one publisher¡¯s platform and link directly to the cited content on another publisher¡¯s platform, subject to the target publisher¡¯s access control practices. CrossRef¡¯s citation-linking network today covers millions of articles and other content items from several hundred scholarly and professional publishers.
Previous   List   Next   GoTo Journals Search Screen