A simple technique for batch process optimization with application to crystallization

An iterative dynamic optimization methodology is developed for online 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 modeling error on the convergence of this algorithm is investigated. The utility of the proposed method is illustrated through the end-point optimization problem in a batch crystallization process, and comparisons to other optimization methods are made.

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

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

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

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

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

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

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

[8]  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.

[9]  L. Hasdorff.  Gradient Optimization and Nonlinear Control , 1976 .

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

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

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

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

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