Real-time economic optimization for a fermentation process using Model Predictive Control

Lars Norbert Petersen, John Bagterp Jørgensen

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Fermentation is a widely used process in production of many foods, beverages, and pharmaceuticals. The main goal of the control system is to maximize profit of the fermentation process, and thus this is also the main goal of this paper. We present a simple dynamic model for a fermentation process and demonstrate its usefulness in economic optimization. The model is formulated as an index-1 differential algebraic equation (DAE), which guarantees conservation of mass and energy in discrete form. The optimization is based on recent advances within Economic Nonlinear Model Predictive Control (E-NMPC), and also utilizes the index-1 DAE model. The E-NMPC uses the single-shooting method and the adjoint method for computation of the optimization gradients. The process constraints are relaxed to soft-constraints on the outputs. Finally we derive the analytical solution to the economic optimization problem and compare it with the numerically determined solution.
Original languageEnglish
Title of host publicationProceedings of European Control Conference (ECC) 2014
Publication date2014
Publication statusPublished - 2014
Event13th European Control Conference (ECC) 2014 - Strasbourg Convention and Exhibition Center, Strasbourg, France
Duration: 24 Jun 201427 Jun 2014
Conference number: 13


Conference13th European Control Conference (ECC) 2014
LocationStrasbourg Convention and Exhibition Center
Internet address


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