Optimal control of a batch crystallization process

Volker Rehbock; Iztok Livk

doi:10.3934/jimo.2007.3.585

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2007, Volume 3, Issue 3: 585-596. Doi: 10.3934/jimo.2007.3.585

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Optimal control of a batch crystallization process

Volker Rehbock^1, and
Iztok Livk^2,

1.
Western Australian Centre of Excellence in Industrial Optimisation, Department of Mathematics and Statistics, Curtin University of Technology, Bentley, WA, 6102
2.
Parker Cooperative Research Centre for Integrated Hydrometallurgy Solutions, CSIRO Division of Minerals, PO Box 90, Bentley, WA 6982

Received: October 31, 2005

Revised: April 30, 2007

Published: June 2007

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Abstract

A dynamic model of an aluminium trihydroxide batch crystallization is considered in this work. The process model, which takes into account kinetics of nucleation, growth and agglomeration, is based on the mass balance of the process and the population balance of the dispersed crystals. Assuming that the temperature of the solution and the seeding policy are variable, optimal control techniques are applied to the model to optimize various performance criteria. Some interesting numerical results for the behaviour of the model are presented.

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Mathematics Subject Classification: Primary: 49N90; Secondary: 62P30.

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