LAPSE:2026.0482
Published Article

LAPSE:2026.0482
Multi-Objective Optimisation of Pressure Swing Adsorption Systems via Symbolic Regression
June 12, 2026
Abstract
This work explores symbolic regression (SR) as an interpretable surrogate modelling approach for the multi-objective optimisation of pressure swing adsorption (PSA) systems for CO2 capture. A first-principle model was used as a virtual plant to generate synthetic datasets covering the operating space defined by cycle step durations. Two surrogate frameworks were developed and compared: SR models derived through evolutionary search and deep neural networks (DNNs) trained via Hyperband-based tuning. Both surrogates were used as simulation models within an optimisation procedure based on a particle swarm optimisation (PSO) algorithm to maximise CO2 purity and recovery. While DNNs achieved the lowest prediction errors (MSE ˜ 10-6), the SR surrogates provided compact analytical representations and significantly faster optimisation. The SR framework yielded a denser and more diverse Pareto front (4345 vs 508 points). It was about 34 times faster (38.6 s vs 1331 s), confirming its efficiency for surrogate-based optimisation of cyclic adsorption processes.
This work explores symbolic regression (SR) as an interpretable surrogate modelling approach for the multi-objective optimisation of pressure swing adsorption (PSA) systems for CO2 capture. A first-principle model was used as a virtual plant to generate synthetic datasets covering the operating space defined by cycle step durations. Two surrogate frameworks were developed and compared: SR models derived through evolutionary search and deep neural networks (DNNs) trained via Hyperband-based tuning. Both surrogates were used as simulation models within an optimisation procedure based on a particle swarm optimisation (PSO) algorithm to maximise CO2 purity and recovery. While DNNs achieved the lowest prediction errors (MSE ˜ 10-6), the SR surrogates provided compact analytical representations and significantly faster optimisation. The SR framework yielded a denser and more diverse Pareto front (4345 vs 508 points). It was about 34 times faster (38.6 s vs 1331 s), confirming its efficiency for surrogate-based optimisation of cyclic adsorption processes.
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Keywords
multi-objective optimisation, optimality, PSA, surrogate models, symbolic regression
Subject
Suggested Citation
Rebello CM, Botelho Junior AB, Dos Santos AR, Nogueira IBR. Multi-Objective Optimisation of Pressure Swing Adsorption Systems via Symbolic Regression. Systems and Control Transactions 5:2234-2242 (2026) https://doi.org/10.69997/sct.116143
Author Affiliations
Rebello CM: Department of Chemical Engineering, Norwegian University of Science and Technology, Trondheim, Norway
Botelho Junior AB: Department of Chemical Engineering, Norwegian University of Science and Technology, Trondheim, Norway
Dos Santos AR: Petroleo Brasileiro S.A. (PETROBRAS), Wells/Well Engineering, Brazil.. Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Department of Mechanical Engineering (DEM), Rio de Janeiro, RJ, Brazil.
Nogueira IBR: Department of Chemical Engineering, Norwegian University of Science and Technology, Trondheim, Norway
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Botelho Junior AB: Department of Chemical Engineering, Norwegian University of Science and Technology, Trondheim, Norway
Dos Santos AR: Petroleo Brasileiro S.A. (PETROBRAS), Wells/Well Engineering, Brazil.. Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Department of Mechanical Engineering (DEM), Rio de Janeiro, RJ, Brazil.
Nogueira IBR: Department of Chemical Engineering, Norwegian University of Science and Technology, Trondheim, Norway
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Journal Name
Systems and Control Transactions
Volume
5
First Page
2234
Last Page
2242
Year
2026
Publication Date
2026-06-12
Version Comments
Original Submission
Other Meta
PII: 2234-2242-388-SCT-5-2026, Publication Type: Journal Article
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LAPSE:2026.0482
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https://doi.org/10.69997/sct.116143
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