LAPSE:2025.0312
Published Article

LAPSE:2025.0312
Multi-Model Predictive Control of a Distillation Column
June 27, 2025
Abstract
Successful implementation of optimization-driven control techniques, such as model predictive control (MPC), is highly dependent on an accurate and detailed model of the process. As complexity in the system increases, linear approximation used in MPC may result in poor performance since a critical operating point is valid in only a small neighborhood of operation. To address this problem, this paper proposes a collaborative approach that combines linear and data-based models to predict state variables individually. The outputs of these models, along with constraints, are then incorporated into the MPC algorithm. For data-based process model, a multi-layered feed-forward network is used. Additionally, the offset-free technique is applied to eliminate steady-state errors resulting from model-process mismatch. To demonstrate the results, a binary distillation column process which is multivariable and inherently nonlinear is chosen as testbed. We compare the performance of the proposed method to MPC using the full nonlinear model and also to single-model MPC methods for both the linear model and neural network model. We show that the proposed method is only slightly suboptimal with respect to the best available performance and greatly improves over individual methods. In addition, the computational load is reduced when compared to the full nonlinear MPC.
Successful implementation of optimization-driven control techniques, such as model predictive control (MPC), is highly dependent on an accurate and detailed model of the process. As complexity in the system increases, linear approximation used in MPC may result in poor performance since a critical operating point is valid in only a small neighborhood of operation. To address this problem, this paper proposes a collaborative approach that combines linear and data-based models to predict state variables individually. The outputs of these models, along with constraints, are then incorporated into the MPC algorithm. For data-based process model, a multi-layered feed-forward network is used. Additionally, the offset-free technique is applied to eliminate steady-state errors resulting from model-process mismatch. To demonstrate the results, a binary distillation column process which is multivariable and inherently nonlinear is chosen as testbed. We compare the performance of the proposed method to MPC using the full nonlinear model and also to single-model MPC methods for both the linear model and neural network model. We show that the proposed method is only slightly suboptimal with respect to the best available performance and greatly improves over individual methods. In addition, the computational load is reduced when compared to the full nonlinear MPC.
Record ID
Keywords
Data-based Modeling, Distillation column, Model Predictive Control, Multiple Models
Subject
Suggested Citation
Arici M, Daosud W, Vargan J, Fikar M. Multi-Model Predictive Control of a Distillation Column. Systems and Control Transactions 4:999-1004 (2025) https://doi.org/10.69997/sct.180258
Author Affiliations
Arici M: Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Bratislava 81237, Slovakia; Faculty of Engineering and Natural Sciences, Gaziantep Islam Science and Technology University, 27010, Gaziantep, Turkey
Daosud W: Faculty of Engineering, Burapha University, Chonburi 20131, Thailand
Vargan J: Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Bratislava 81237, Slovakia; Universite de Lorraine, CNRS, LRGP, F-54000, Nancy, France
Fikar M: Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Bratislava 81237, Slovakia
Daosud W: Faculty of Engineering, Burapha University, Chonburi 20131, Thailand
Vargan J: Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Bratislava 81237, Slovakia; Universite de Lorraine, CNRS, LRGP, F-54000, Nancy, France
Fikar M: Faculty of Chemical and Food Technology, Slovak University of Technology in Bratislava, Bratislava 81237, Slovakia
Journal Name
Systems and Control Transactions
Volume
4
First Page
999
Last Page
1004
Year
2025
Publication Date
2025-07-01
Version Comments
Original Submission
Other Meta
PII: 0999-1004-1239-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0312
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https://doi.org/10.69997/sct.180258
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