Nonlinear control of particulate processes

AIChE Journal

Volumn 45, Issue 6, 1999, Pages 1279-1297

  Chiu, Timothy ^a   Christofides, Panagiotis D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL OPERATIONS; CONTROL EQUIPMENT; CRYSTALLIZERS; DIFFERENTIAL EQUATIONS; DYNAMICS; FEEDBACK; PARTICLE SIZE ANALYSIS; SYSTEM STABILITY;

NONLINEAR OUTPUT FEEDBACK CONTROLLER; ORDINARY DIFFERENTIAL EQUATION; PARTICULATE PROCESSES; POPULATION BALANCE EQUATION;

NONLINEAR CONTROL SYSTEMS;

CONTROL METHOD; CRYSTALLIZATION; FEEDBACK; NON-LINEAR SYSTEM; PARTICLE;

ARTICLE; CALCULATION; CONTROL SYSTEM; FEEDBACK SYSTEM; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PROCESS CONTROL; SYNTHESIS;

EID: 0033064068     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690450613     Document Type: Article

References (36)

1. Antoniades, C., and P. D. Christofides, "Feedback Control of Nonlinear Differential Difference Equation Systems," Chem. Eng. Sci., in press (1999).
2. Bohren, C. F., and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Wiley, New York (1983).
3. Christofides, P. D., and P. Daoutidis, "Feedback Control of Hyperbolic PDE Systems," AIChE J., 42, 3063 (1996a).
4. Christofides, P. D., and P. Daoutidis, "Nonlinear Control of Diffusion-Convection-Reaction Processes," Comp. Chem. Eng., 20(s), 1071 (1996b).
5. Dimitratos, J., G. Elicabe, and C. Georgakis, "Control of Emulsion Polymerization Reactors," AIChE J., 40, 1993 (1994).
6. Eaton, J. W., and J. B. Rawlings, "Feedback Control of Chemical Processes Using On-Line Optimization Techniques," Comp. Chem. Eng., 14, 469 (1990).
7. Foias, C., and R. Témam, "Algebraic Approximation of Attractors: The Finite Dimensional Case," Physica D, 32 163 (1988).
8. Friedlander, S. K., Smoke, Dust, and Haze: Fundamentals of Aerosol Behavior, Wiley, New York (1977).
9. Fukunaga, K., Introduction to Statistical Pattern Recognition, Academic Press, New York (1990).
10. Gelbard, F., and J. H. Seinfeld, "Numerical Solution of the Dynamic Equation for Particulate Processes," J. Comp. Phys., 28, 357 (1978).
11. Gelbard, F., Y. Tambour, and J. H. Seinfield, "Sectional Representation of Simulating Aerosol Dynamics," J. Coll. Int. Sci., 68, 363 (1980).
12. Hill, P. J., and K. M. Ng, "New Discretization Procedure for the Agglomeration Equation," AIChE J., 42, 727 (1996).
13. Holmes, P., J. L. Lumley, and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge University Press, New York (1996).
14. Hounslow, M. J., "A Discretized Population Balance for Continuous Systems at Steady-State," AIChE J., 36, 106 (1990).
15. Hulburt, H. M., and S. Katz, "Some Problems in Particle Technology: A Statistical Mechanical Formulation," Chem. Eng. Sci., 19, 555 (1964).
16. Isidori, A., Nonlinear Control Systems: An Introduction, 2nd ed., Springer-Verlag, Berlin-Heidelberg (1989).
17. Jerauld, G. R., Y. Vasatis, and M. F. Doherty, "Simple Conditions for the Appearance of Sustained Oscillations in Continuous Crystallizers," Chem. Eng. Sci., 38, 1675 (1983).
18. Khalil, H. K., Nonlinear Systems, Macmillan, New York (1992).
19. Kumar, S., and D. Ramkrishna, "On the Solution of Population Balance Equations by Discretization - I. A Fixed Pivot Technique," Chem. Eng. Sci., 51, 1311 (1996a).
20. Kumar, S., and D. Ramkrishna, "On the Solution of Population Balance Equations by Discretization - II. A Moving Pivot Technique," Chem. Eng. Sci., 51, 1333 (1996b).
21. Kurtz, M. J., G.-Y. Zhu, A. Zamamiri, M. A. Henson, and M. A. Hjortso, "Control of Oscillating Microbial Cultures Described by Population Balance Models," Ind. Eng. Chem. Res., 37, 4059 (1998).
22. Landgrebe, J. D., and S. E. Pratsinis, "A Discrete Sectional Model for Particulate Production by Gas Phase Chemical Reaction and Aerosol Coagulation in the Free Molecular Regime," J. Coll. Inter. Sci., 139, 63 (1990).
23. Lei, S. J., R. Shinnar, and S. Katz, "The Stability and Dynamic Behavior of a Continuous Crystallizer with a Fines Trap," AIChE J., 17, 1459 (1971).
24. Pratsinis, S. E., "Simultaneous Nucleation, Condensation, and Coagulation in Aerosol Reactors," J. Coll. Int. Sci., 124, 416 (1988).
25. Ramkrishna, D., "The Status of Population Balances," Rev. Chem. Eng., 3 49 (1985).
26. Randolph, A. D., L. Chen, and A. Tavana, "Feedback Control of CSD in a KCl Crystallizer with a Fines Dissolver," AIChE J., 33, 583 (1987).
27. Randolph, A. D., and M. A. Larson, Theory of Particulate Processes, Academic Press, 2nd ed., San Diego (1988)
28. Rawlings, J. B., S. M. Miller and W. R. Witkowski, "Model Identification and Control of Solution Crystallization Processes," I & EC Res., 32, 1275 (1993).
29. Rawlings, J. B., and W. H. Ray, "Emulsion Polymerization Reactor Stability: Simplified Model Analysis," AIChE J., 33, 1663 (1987a).
30. Rawlings, J. B., and W. H. Ray, "Stability of Continuous Emulsion Polymerization Reactors: a Detailed Model Analysis," Chem. Eng. Sci., 42, 2767 (1987b).
31. Rohani, S., and J. R. Bourne, "Self-Tuning Control of Crystal Size Distribution in a Cooling Batch Crystallizer," Chem. Eng. Sci., 12, 3457 (1990).
32. Semino, D., and W. H. Ray, "Control of Systems Described by Population Balance Equations - I. Controllability Analysis," Chem. Eng. Sci., 50, 1805 (1995a).
33. Semino, D., and W. H. Ray, "Control of Systems Described by Population Balance Equations - II. Emulsion Polymerization with Constrained Control Action,"Chem. Eng. Sci., 50, 1825 (1995b).
34. Shvartsman, S. Y., and I. G. Kevrekidis, "Nonlinear Model Reduction for Control of Distributed Parameter Systems: A Computer Assisted Study," AIChE J., 44, 1579 (1998).
35. Temam, R., Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New York (1988).
36. Williams, M. M. R., and S. K. Loyalka, Aerosol Science: Theory & Practice, Pergamon Press, Oxford, U.K. (1991).