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Control of Batch Crystallization : a System Inversion Approach

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Vollmer,  U.
Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Raisch,  J.
Systems and Control Theory, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;
TU Berlin;

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Citation

Vollmer, U., & Raisch, J. (2006). Control of Batch Crystallization: a System Inversion Approach. Chemical Engineering & Processing, 45(10), 874-885. doi:10.1016/j.cep.2006.01.012.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-9B3A-0
Abstract
In this article a new approach to the control of batch crystallization is presented. In batch cooling crystallization the crucial control problem is to design a temperature trajectory which produces a desired crystal size distribution at the end of the batch. Traditionally, this problem is addressed in an optimization framework. Here, a completely different solution is presented. It is shown that the standard population balance model can be inverted analytically. The system inversion is performed making use of a state dependent time scaling of the population balance model. Consequently, for any desired crystal size distribution the corresponding temperature trajectory (i.e. the feed-forward control) can be determined in a straight forward way. Furthermore, exploiting the properties of the time-scaled moment model, a nonlinear feedback control is designed for the batch crystallizer, which ensures tracking of the previously designed trajectories in the presence of uncertainty. Copyright © 2006 Elsevier B.V. All rights reserved. [accessed February 8th 2013]