Model identification and control strategies for batch cooling crystallizers

AICHE Journal - Tập 40 Số 8 - Trang 1312-1327 - 1994
Stephen Matteo Miller1, James B. Rawlings1
1Dept. of Chemical Engineering, The University of Texas at Austin, Austin, TX 78712

Tóm tắt

AbstractThe open‐loop optimal control strategy to regulate the crystal‐size distribution of batch cooling crystallizers handles input, output, and final‐time constraints, and is applicable to crystallization with size‐dependent growth rate, growth dispersion, and fines dissolution. The objective function can be formulated to consider solid‐liquid separation in subsequent processing steps.A model‐based control algorithm requires a model that accurately predicts system behavior. Uncertainty bounds on model parameter estimates are not reported in most crystallization model identification studies. This obscures the fact that resulting models are often based on experiments that do not provide sufficient information and are therefore unreliable. A method for assessing parameter uncertainty and its use in experimental design are presented. Measurements of solute concentration in the continuous phase and the transmittance of light through a slurry sample allow reliable parameter estimation. Uncertainty in the parameter estimates is decreased by data from experiments that achieve a wide range of supersaturation. The sensitivity of the control policy to parameter uncertainty, which connects the model identification and control problems, is assessed. The model identification and control strategies were experimentally verified on a bench‐scale KNO3‐H2O system. Compared to natural cooling, increases in the weight mean size of up to 48% were achieved through implementation of optimal cooling policies.

Từ khóa


Tài liệu tham khảo

Bard Y., 1974, Nonlinear Parameter Estimation

10.1002/cjce.5450700117

Boxman A. “Particle Size Measurement for Control of Industrial Crystallizers ” PhD Thesis Delft Univ. of Technology (1992).

Brook R. J., 1985, Applied Regression Analysis and Experimental Design

Bryson A. E., 1975, Applied Optimal Control

Chianese A., 1984, Industrial Crystallization 84, 443

Denn M. M., 1986, Process Modeling

10.1137/1.9781611971811

Gill P. E. W.Murray M. A.Saunders andM. H.Wright “User's Guide for SOL/NPSOL (Version 4.0): A Fortran Package for Nonlinear Programming ” Technical report SOL 86–2 Systems Optimization Laboratory Dept. of Operations Research Stanford Univ. (1986).

10.1016/0009-2509(64)85047-8

Jager J., 1987, Industrial Crystallization 87, 415

10.1016/0009-2509(74)80106-5

Jones A. G., 1984, Industrial Crystallization 84, 191

Karpinski P., 1980, Science Papers of the Institute of Chemical Engineering and Heat Systems, 172

Miller S. M. “Modelling and Quality Control Strategies for Batch Cooling Crystallizers ” PhD Thesis Univ. of Texas at Austin (1993).

10.1002/aic.690080515

Rawlings J. B. S. M.Miller andW. R.Witkowski “Model Identification and Control of Solution Crystallization Processes: a Review ” Accepted for publication in I & EC Res. (1993).

10.1016/0098-1354(88)85012-9

Sargent R. W. H., 1978, Lecture Notes in Control and Information Sciences 7, 158

10.1016/0009-2509(69)80009-6

10.1021/bk-1990-0438.ch008