Optimal control and simulation of multidimensional crystallization processes

Computers and Chemical Engineering

Volumn 26, Issue 7-8, 2002, Pages 1103-1116

  Ma, David L ^a   Tafti, Danesh K ^b   Braatz, Richard D ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Batch control; Crystallization; Dynamic programming; Optimal control; Robustness analysis

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CRYSTALLIZERS; CRYSTALS; MATHEMATICAL MODELS; NUCLEATION; OPTIMAL CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS;

OPTIMAL CONTROL TRAJECTORIES;

CRYSTALLIZATION;

CONTROL SYSTEM;

ALGORITHM; ARTICLE; CONTROL SYSTEM; CRYSTAL; CRYSTALLIZATION; DIFFUSION; FLOW RATE; MATHEMATICAL MODEL;

EID: 0037104859     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(02)00033-9     Document Type: Article

References (31)

1. Ajinkya, M. B., & Ray, W. H. (1974). On the optimal operation of crystallization processes. Chemical Engineering Communication, 1, 181-186.
2. Braatz, R. D., & Hasebe, S. Particle size and shape control in crystallization processes. In: J. B. Rawlings & B. A. Ogunnaike, (Eds.), Chemical process Control VI. New York: AIChE Press, in press.
3. Charmolue, H., & Rousseau, R. W. (1991). L-serine obtained by methanol addition in batch crystallization. American Institute of Chemical Engineering Journal, 37, 1121-1128.
4. Chung, S. H., Ma, D. L., & Braatz, R. D. (1999a). FORTRAN software for simulation, parameter estimation, experimental design, and optimal control of batch crystallization. Urbana: University of Illinois http://brahms.scs.uiuc.edu/lssrl/software/crystal, computer software.
5. Chung, S. H., Ma, D. L., & Braatz, R. D. (1999b). Optimal seeding in batch crystallization. Canadian Journal of Chemical Engineering, 77, 590-596.
6. Chung, S. H., Ma, D. L., & Braatz, R. (2000). Optimal model-based experimental design in batch crystallization. Chemometrics and Intelligent Laboratory Systems, 50, 83-90.
7. Eaton, J. W., & Rawlings, J. B. (1990). Feedback control of chemical processes using on-line optimization techniques. Computers and Chemical Engineering, 14, 469-479.
8. Gunawan, R., Ma, D. L., Fujiwara, M., & Braatz, R. D. (2002). Identification of kinetic parameters in a multidimensional crystallization process. International Journal of Modern Physics B, 16, 367-374.
9. Harten, A. (1983). High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics, 49, 357-393.
10. Hulburt, H. M., & Katz, S. (1964). Some problems in particle technology. Chemical Engineering Science, 19, 555-574.
11. Jones, A. G. (1974). Optimal operation of a batch cooling crystallizer. Chemical Engineering Science, 29, 1075-1087.
12. Kramer, H. J. M., Dijkstra, J. W., Neumann, A. M., Meadhra, R. O., & van Rosmalen, G. M. (1996). Modelling of industrial crystallizers, a compartmental approach using a dynamic flowsheeting tool. Journal of Crystal Growth, 166, 1084-1088.
13. LeVeque, R. J. (1992). Numerical methods for conservation laws. Basel, Germany: Birkhäuser Verlag.
14. LeVeque, R. J. (1997). Wave propagation algorithms for multidimensional hyperbolic systems. Journal of Computational Physics, 131, 327-353.
15. Ma, D. L., & Braatz, R. D. (2001). Worst-case analysis of finite-time control policies. IEEE Transactions on Control Systems Technology, 9, 766-774.
16. Ma, D. L., Chung, S. H., & Braatz, R. D. (1999). Worst-case performance analysis of optimal batch control trajectories. American Institute of Chemical Engineering Journal, 45, 1469-1476.
17. Matthews, H. B., & Rawlings, J. B. (1998). Batch crystallization of a photochemical modeling, control and filtration. American Institute of Chemical Engineering Journal, 44, 1119-1127.
18. Miller, S. M., & Rawlings, J. B. (1994). Model identification and control strategies for batch cooling crystallizers. American Institute of Chemical Engineering Journal, 40, 1312-1327.
19. Mullin, J. W., & Amatavivadhana, A. (1967). Growth kinetics of ammonium- and potassium-dihydrogen phosphate crystals. Journal of Applied Chemistry, 17, 151-156.
20. Osher, S., & Chakravarthy, S. (1984). High resolution schemes and the entropy condition. SIAM Journal on Numerical Analysis, 131, 955-984.
21. Randolph, A., & Larson, M. A. (1988). Theory of particulate processes (2nd ed.). San Diego: Academic Press.
22. Rawlings, J. B., Miller, S. M., & Witkowski, W. R. (1993). Model identification and control of solution crystallization processes: a review. Industrial Engineering and Chemical Research, 32, 1275-1296.
23. Sotowa, K., Naito, K., Kano, M., Hasebe, S., & Hashimoto, I. (2000). Application of the method of characteristics to crystallizer simulation and comparison with finite difference for controller performance evaluation. Journal of Process Control, 10, 203-208.
24. Sweby, P. K. (1984). High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM Journal on Numerical Analysis, 21, 995-1011.
25. Togkalidou, T., Braatz, R, D., Johnson, B., Davidson, O., & Andrews, A. (2001). Experimental design and inferential modeling in pharmaceutical crystallization. American Institute of Chemical Engineering Journal, 47, 160-168.
26. Togkalidou, T., Fujiwara, M., Patel, S., & Braatz, R. D., (2000). A robust chemometrics approach to inferential estimation of super-saturation. Proceedings of the American control conference (pp. 1732-1736). Piscataway, New Jersey: IEEE Press.
27. Togkalidou, T., Fujiwara, M., Patel, S., & Braatz, R. D. (2001). Solute concentration prediction using chemometrics and spectroscopy. Journal of Crystal Growth, 231, 534-543.
28. van Leer, B. (1974). Towards the ultimate conservative difference scheme II. Monotonicity and conservation combined in a second order scheme. Journal of Computational Physics, 14, 361-370.
29. Yang, J. Y., Huang, J. C., & Tsuei, L. (1995). Numerical solutions of the nonlinear model boltzmann equations. Proceedings of the Royal Society of London Series A - Mathematical and Physical Science, 448, 55-80.
30. Zalesak, S. T. (1987). A preliminary comparison of modern shock- capturing schemes: linear advection. In R. Vichnevetsky, & R. S. Stepleman, Advances in computer methods for partial differential equations, vol. VI (pp. 15-22). New Brunswick, NJ: IMACS.
31. Zhou, J. L., Tits, A. L., & Lawrence, C. T. (1989). FFSQP. College Park: University of Maryland http://www.isr.umd.edu/isr/research/patents.html, computer software.