LAPSE:2026.0395
Published Article

LAPSE:2026.0395
A Multi-objective Experimental Design Framework Leveraging Hybrid Modelling and Gaussian Process Optimization
June 12, 2026
Abstract
Digitalization, artificial intelligence, and autonomous experimentation are reshaping chemical process development by enabling data-driven system identification and model-based optimization. Despite these advances, mechanistic models remain a cornerstone for predicting chemical reaction behavior and supporting optimization. However, purely mechanistic models often exhibit limited predictive accuracy when key phenomena affecting kinetics, mass and energy transfer are not fully captured. To address limitations on kinetic modelling, a hybrid modelling framework is proposed in this work that integrates a lumped power-law kinetic model with a Gaussian Process (GP) residual model to predict the reaction rate across the experimental design space while quantifying the uncertainty of the predicted rate. The hybrid model is then coupled with multi-objective Bayesian optimization (MOBO) by employing a weighted-sum approach and an upper confidence bound acquisition function to guide experimental design by simultaneously maximizing reaction rate and minimizing the associated uncertainty on prediction. The approach is tested on a case study related to catalytic methane oxidation in an autonomous microreactor system, where the proposed hybrid model performs comparably to the ground truth model, identifying the same optimal operating conditions when validated against the original experimental data, with an average prediction uncertainty of approximately 2.7%. The results highlight the potential of hybrid modelling and uncertainty-aware optimization for guiding autonomous catalytic experiments in flow systems.
Digitalization, artificial intelligence, and autonomous experimentation are reshaping chemical process development by enabling data-driven system identification and model-based optimization. Despite these advances, mechanistic models remain a cornerstone for predicting chemical reaction behavior and supporting optimization. However, purely mechanistic models often exhibit limited predictive accuracy when key phenomena affecting kinetics, mass and energy transfer are not fully captured. To address limitations on kinetic modelling, a hybrid modelling framework is proposed in this work that integrates a lumped power-law kinetic model with a Gaussian Process (GP) residual model to predict the reaction rate across the experimental design space while quantifying the uncertainty of the predicted rate. The hybrid model is then coupled with multi-objective Bayesian optimization (MOBO) by employing a weighted-sum approach and an upper confidence bound acquisition function to guide experimental design by simultaneously maximizing reaction rate and minimizing the associated uncertainty on prediction. The approach is tested on a case study related to catalytic methane oxidation in an autonomous microreactor system, where the proposed hybrid model performs comparably to the ground truth model, identifying the same optimal operating conditions when validated against the original experimental data, with an average prediction uncertainty of approximately 2.7%. The results highlight the potential of hybrid modelling and uncertainty-aware optimization for guiding autonomous catalytic experiments in flow systems.
Record ID
Keywords
Bayesian Optimization, Machine Learning, Modelling and Simulations, System Identification
Subject
Suggested Citation
Aku M, Bawa SG, Lee YS, Galvanin F. A Multi-objective Experimental Design Framework Leveraging Hybrid Modelling and Gaussian Process Optimization. Systems and Control Transactions 5:1520-1528 (2026) https://doi.org/10.69997/sct.180754
Author Affiliations
Aku M: University College London, Department of Chemical Engineering, London, United Kingdom
Bawa SG: University College London, Department of Chemical Engineering, London, United Kingdom
Lee YS: University College London, Department of Chemical Engineering, London, United Kingdom
Galvanin F: University College London, Department of Chemical Engineering, London, United Kingdom
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Bawa SG: University College London, Department of Chemical Engineering, London, United Kingdom
Lee YS: University College London, Department of Chemical Engineering, London, United Kingdom
Galvanin F: University College London, Department of Chemical Engineering, London, United Kingdom
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Journal Name
Systems and Control Transactions
Volume
5
First Page
1520
Last Page
1528
Year
2026
Publication Date
2026-06-12
Version Comments
Original Submission
Other Meta
PII: 1520-1528-44-SCT-5-2026, Publication Type: Journal Article
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LAPSE:2026.0395
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https://doi.org/10.69997/sct.180754
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Jun 12, 2026
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References Cited
- Ljung L. Perspectives on system identification. Annual Reviews in Control 34:1-12 (2010) https://doi.org/10.1016/j.arcontrol.2009.12.001
- Van den Hof, P. M. (2020). System identification-Data-driven modelling of dynamic systems. Lecture Notes, 305.
- Taylor CJ, Booth M, Manson JA, Willis MJ, Clemens G, Taylor BA, Chamberlain TW, Bourne RA. Rapid, automated determination of reaction models and kinetic parameters. Chemical Engineering Journal 413:127017 (2021) https://doi.org/10.1016/j.cej.2020.127017
- Stalidzans E, Zanin M, Tieri P, Castiglione F, Polster A, Scheiner S, Pahle J, Stres B, List M, Baumbach J, Lautizi M, Van Steen K, Schmidt HHHW. Mechanistic modeling and multiscale applications for precision medicine: theory and practice. Network and Systems Medicine 3:36-56 (2020) https://doi.org/10.1089/nsm.2020.0002
- Bradley W, Kim J, Kilwein Z, Blakely L, Eydenberg M, Jalvin J, Laird C, Boukouvala F. Perspectives on the integration between first-principles and data-driven modeling. Computers & Chemical Engineering 166:107898 (2022) https://doi.org/10.1016/j.compchemeng.2022.107898
- Chen Y, Ierapetritou M. A framework of hybrid model development with identification of plant?model mismatch. AIChE Journal 66: (2020) https://doi.org/10.1002/aic.16996
- Zhang J, Semochkina D, Sugisawa N, Woods DC, Lapkin AA. Multi-objective reaction optimization under uncertainties using expected quantile improvement. Computers & Chemical Engineering 194:108983 (2025) https://doi.org/10.1016/j.compchemeng.2024.108983
- Bawa SG, Pankajakshan A, Waldron C, Cao E, Galvanin F, Gavriilidis A. Rapid screening of kinetic models for methane total oxidation using an automated gas phase catalytic microreactor platform. Chemistry Methods 3: (2022) https://doi.org/10.1002/cmtd.202200049
- Pankajakshan A, Bawa SG, Gavriilidis A, Galvanin F. Autonomous kinetic model identification using optimal experimental design and retrospective data analysis: methane complete oxidation as a case study. React. Chem. Eng. 8:3000-3017 (2023) https://doi.org/10.1039/d3re00156c
- Cicirello A, Giunta F. Machine learning based optimization for interval uncertainty propagation. Mechanical Systems and Signal Processing 170:108619 (2022) https://doi.org/10.1016/j.ymssp.2021.108619
- Hurtado P, Ordóñez S, Sastre H, D??ez FV. Development of a kinetic model for the oxidation of methane over pd/al2o3 at dry and wet conditions. Applied Catalysis B: Environmental 51:229-238 (2004) https://doi.org/10.1016/j.apcatb.2004.03.006
- Froment, G. F., Bischoff, K. B., & De Wilde, J. (2011). Chemical reactor analysis and design (3rd ed.). John Wiley & Sons.
- Kumar RS, Mmbaga JP, Semagina N, Hayes RE. Methane combustion kinetics over palladium-based catalysts: review and modelling guidelines. Catalysts 14:319 (2024) https://doi.org/10.3390/catal14050319
- Munyebvu N, Dunn S, Howes PD. Multiobjective platform for autonomous property targeting and optimization of colloidal lead halide perovskite quantum dots. Chem. Mater. 37:6629-6641 (2025) https://doi.org/10.1021/acs.chemmater.5c01153
- Escandón LS, Ordóñez S, Vega A, D??ez FV. Oxidation of methane over palladium catalysts: effect of the support. Chemosphere 58:9-17 (2005) https://doi.org/10.1016/j.chemosphere.2004.09.012
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