An Effective Technique for Batch Process Optimization with Application to Crystallization

An iterative dynamic optimization methodology is developed for on-line optimization of batch processes in the presence of plant-model mismatch and measurable error. In the proposed method, the plant-model mismatch is effectively eliminated by using information from previous batches to modify the trajectories that are applied to the subsequent ones. In addition, the effect of modelling error on the convergence of this algorithm is investigated. The utility of the proposed method is illustrated through the end-point optimization problem in the batch crystallization process, and comparisons to other optimization methods are made.

[1]  B. Moor,et al.  Subspace identification for linear systems , 1996 .

[2]  D. Himmelblau,et al.  Optimization of Chemical Processes , 1987 .

[3]  S. Chen,et al.  Minimum end time policies for batchwise radical chain polymerization—III: The initiator addition policies , 1981 .

[4]  James B. Rawlings,et al.  Model identification and control strategies for batch cooling crystallizers , 1994 .

[5]  Costas J. Spanos,et al.  Advanced process control , 1989 .

[6]  R. Luus Optimal control by direct search on feedback gain matrix , 1974 .

[7]  Costas Kiparissides,et al.  Computation of the near‐optimal temperature and initiator policies for a batch polymerization reactor , 1984 .

[8]  J. Rawlings,et al.  Feedback control of chemical processes using on-line optimization techniques , 1990 .

[9]  Lennart Ljung,et al.  System identification toolbox for use with MATLAB , 1988 .

[10]  Huibert Kwakernaak,et al.  Linear Optimal Control Systems , 1972 .

[11]  Jacques Villermaux,et al.  Batch reactor optimization by use of tendency models , 1989 .

[12]  L. Collatz Functional analysis and numerical mathematics , 1968 .

[13]  G. R. Sullivan,et al.  The development of an efficient optimal control package , 1978 .

[14]  J. W. Mullin,et al.  Programmed cooling crystallization of potassium sulphate solutions , 1974 .

[15]  J. E. Cuthrell,et al.  Simultaneous optimization and solution methods for batch reactor control profiles , 1989 .

[16]  Evanghelos Zafiriou,et al.  Optimal Feed Rate Profile Determination for Fed-Batch Fermentations in the Presence of Model-Plant Mismatch , 1989, 1989 American Control Conference.

[17]  S. Katz,et al.  Some problems in particle technology: A statistical mechanical formulation , 1964 .

[18]  D. Naidu,et al.  Optimal Control Systems , 2018 .

[19]  H C Lim,et al.  Feedback optimization of fed‐batch fermentation , 1987, Biotechnology and bioengineering.

[20]  Tor Arne Johansen,et al.  Operating regime based process modeling and identification , 1997 .