Nonlinear observer of crystal-size distribution during batch crystallization

AIChE Journal

Volumn 52, Issue 6, 2006, Pages 2188-2197

  Bakir, T ^a   Othman, S ^a   Fevotte, G ^a   Hammouri, H ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

Crystal size distribution; Crystallization processes; Finite difference method; High gain observer; Nonlinear identification; Population balance equations

Indexed keywords

ALGORITHMS; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; NUCLEATION; PROCESS CONTROL; REACTION KINETICS;

CRYSTAL-SIZE DISTRIBUTION(CSD); CRYSTALLIZATION PROCESSES; HIGH-GAIN OBSERVER; NONLINEAR IDENTIFICATION; POPULATION BALANCE EQUATIONS;

CRYSTALLIZATION;

ALGORITHMS; CRYSTALLIZATION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; NUCLEATION; PROCESS CONTROL; REACTION KINETICS;

EID: 33744807202     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.10820     Document Type: Article

References (27)

1. Braatz RD, Hasebe S. Particle size and shape control in crystallization processes. AIChE Symp Series. 2002;326:307-327.
2. Feng L, Berglund KA. "ATR-FTIR" for determining optimal cooling curves for batch crystallization of succinic acid. Crystal Growth and Design. 2002;5:449-452.
3. Puel F, Févotte G, Klein JP. Simulation and analysis of industrial crystallization processes through multidimensional population balance equations. Part 1: a resolution algorithm based on the method of classes. Chem Eng Sci. 2003;58:3715-3727.
4. Rawlings JP, Miller SM, Witkowski WR. Model identification and control of solution crystallization process: a review. Ind Eng Chem Res. 1993;32:1275-1296.
5. Rohani S. Crystallization kinetics, modeling and control: a review. Trends in Chem Eng. 1998;5:173-193.
6. Worlitschek J, Mazzotti M. Model-based optimization of patricle size distribution in batch-cooling crystallization of paracetamol. Crystal Growth and Design. 2004;4:891-903.
7. Worlischek J. Monitoring, modeling and optimization of batch cooling crystallization., ETH no 15189. Zurich: Germany; 2003. PhD diss.
8. Zollars, Richard L. Turbidimetric method for on-line determination of latex particle number and particle size distribution. J of Colloid and Interface Sci. 1980; 74(1), 163-72.
9. Herri JM, Gruy F, Pic JS, Cournil M, Cingotti B, Sinquin A. Interest of in situ turbidimetry for the characterization of methane hydrate crystallization: application to the study of kinetic inhibitors. Chem Eng Sci. 1999;54(12):1849-1858.
10. Moscosa-Santillan M, Bals O, Fauduet H, Porte C, Delacroix A. Study of batch crystallization and determination of an alternative temperature-time profile by on-line turbidity analysis - application to glycine crystallization. Chem Eng Sci. 2000;55(18):3759-3770.
11. Jones AG. Optimal operation of a batch cooling crystallizer. Chem Eng Sci. 1974;29:1075-1087.
12. Rohani S.Self-tuning control of crystal size distribution in a cooling batch crystallizer. Chem Eng Sci. 1990;45:3457-3466.
13. Zoltan KN, Richard DB. Open loop and closed-loop robust optimal control of batch processes using distributional and worst case analysis. J of Proc Contr. 2004;411-422.
14. Garside J. The concept of effectiveness factors in crystal growth. Chem Eng Sci. 1971;26:1425-1431.
15. Mersmann A. Crystallization Technology Handbook. 2nd ed. Mersmann. New York: Marcel Dekker; 2002.
16. Ramkrishna, D.. Population balances. Theory and applications to particulate systems in engineering. New York: Academic Press; 2000.
17. Kumar, S., Ramkrishna D. On the solution of population balance equations by discretization-III.Nucleation, grouth and aggregation of particles. Chem Eng Sci. 1997;52:4659-4679.
18. Liu Y, Cameron IT. A new wavelet-based adaptive method for solving population balance equations. Powder Technology. 2003;181-188.
19. Villadsen JV, Stewart WE. Solution of boundary-value problems by orthogonal collocation. Chem Eng Sci. 1966;22:1483-1501.
20. Fevotte G. New perspectives for the on-line monitoring of pharmaceutical crystallization processes using in situ infrared spectroscopy. Intl J of Pharmaceutics. 2002:241(2):263-278.
21. Yu L. X., Lionberger R. A., Raw A. S., D'Costa R., Wu H., Hussain A. S. "Applications of process analytical technology to crystallization processes." Advanced Drug Delivery Reviews. 2004:56(3): 349-369.
22. Farza M, Hammouri H, Othman S, Busawon K. Nonlinear observer for parameter estimation in bioprocesses. Chem Eng Sci. 1997;52:4251-4267.
23. Gauthier JP. Hammouri H, Othman S. A simple observer for non linear systems Application to bioreactors. IEEE Trans Automat Control. 1992;37:875-880.
24. Marchal PG. énie de la cristallisation: application à l'acide adipique. Thèse, Institut National Polytechnique de Lorraine. Nancy: France; 1989.
25. Mersmann A, Braun B, Löfflmann M. Prediction of crystallization coefficients of the population balance. Chem Eng Sci. 2000;57:4267-4275.
26. Lewiner F, Klein JP, Puel F, Fevotte G. On-line AIR FTIR measurement of supersaturation during solution crystallization processes. Calibration and applications on three solute/solvent systems. Chem Eng Sci. 2001;56(6):2069- 2084.
27. th International Symposium of Industrial Crystallization ISIC'16. Dresde. Sept. 11-14; 2005.