Abstract
AbstractThe orthogonal collocation method of approximation is applied to the differential equations describing the oxygen concentration profiles in the liquid and gas phases of the tower loop airlift reactor. This provides a relatively quick simulation method that can be used for the parameter identification and control optimization tasks of the Open Loop Feedback Optimal (OLFO) adaptive control algorithm. Results of simulated cell mass fermentations are compared to that of a slower, more accurate finite difference simulation method showing the effects of collocation order on approximation accuracy and computation time. An example of parameter identification of the spatially dependent oxygen mass transfer coefficient and the overall growth rate is provided. Also, an example is included showing the optimization of air feed rate policy over the course of a fermentation.
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