Robust batch‐to‐batch optimization in the presence of model‐plant mismatch and input uncertainty. Issue 7 (27th January 2017)

• Record Type: Journal Article
• Authors: Hille, Rubin; Mandur, Jasdeep; Budman, Hector M.
• Is Part Of: AIChE journal. Volume 63:Issue 7(2017)
• Page Start: 2660
• Page End: 2670
• Publication Date: 2017-01-27
• Subjects: batch processes -- robust model‐based optimization -- model‐plant mismatch -- polynomial chaos expansion -- parameter selection; Chemical engineering -- Periodicals; Génie chimique -- Périodiques; 660.28
• DOI: 10.1002/aic.15645
• Languages: English
• ISSNs: 0001-1541

Abstract

Abstract : In model‐based optimization in the presence of model‐plant mismatch, the set of model parameter estimates which satisfy an identification objective may not result in an accurate prediction of the gradients of the cost‐function and constraints. To ensure convergence to the optimum, the predicted gradients can be forced to match the measured gradients by adapting the model parameters. Since updating all available parameters is impractical due to estimability problems and overfitting, there is a motivation for adapting a subset of parameters for updating the predicted outputs and gradients. This article presents an approach to select a subset of parameters based on the sensitivities of the model outputs and of the cost function and constraint gradients. Furthermore, robustness to uncertainties in initial batch conditions is introduced using a robust formulation based on polynomial chaos expansions. The improvements in convergence to the process optimum and robustness are illustrated using a fed‐batch bioprocess. © 2017 American Institute of Chemical Engineers AIChE J, 63: 2660–2670, 2017