Derivation of State-Space Models of Continuous Crystallizers

Abstract

For effective control of crystallizers, multivariable controllers are required. To design such controllers, a model in state-space representation is required. In deriving such a model, the population balance has to be transformed into a set of ordinary differential equations. Three transformation methods were reported earlier in the literature. Two of these methods are limited to MSMPR crystallizers. The third method has no restrictions in its applicability, however it results in very high model orders. Therefore another technique is proposed which can also be applied directly on experimental data without the intermediate step of calculating the kinetic parameters.