Proceedings of ESCAPE 36ISSN: 2818-4734
Volume: 5 (2026)
Table of Contents
LAPSE:2026.0272
Published Article
LAPSE:2026.0272
Designing in an Unpredictable World: Novel Methods for Uncertainty Characterization, Quantification, and Optimization in Process Engineering
June 12, 2026
Abstract
Computer-Aided Process Engineering (CAPE) has transformed how we analyze, design, and optimize energy processes. Yet, even advanced models rest on uncertain ground: their reliability depends on how well future operating environments are described-environments that are dynamic, complex, and deeply uncertain. In practice, uncertainty is often reduced to local parameter variations, driven by limited data, computational burden, and overconservative robust formulations. This narrow treatment creates a false sense of confidence: Designs that perform well in theory often fail in real-world operation. In a century marked by economic, climatic, and technological volatility, designing under uncertainty is no longer optional; it is essential.We have developed approaches that place uncertainty at the core of energy process modeling and design. This paper provides an overview of these methods and how uncertainty can be explicitly represented, quantified, and embedded into the design process.We present approaches to characterize uncertainties under data scarcity, including imprecise probabilities to distinguish between aleatory and epistemic uncertainty. To propagate uncertainty through computationally intensive models, we introduce surrogate-assisted techniques that exploit structural sparsity, enabling the analysis of systems with large numbers of uncertain inputs (100+) while mitigating the curse of dimensionality. These methods are integrated into optimization frameworks that target expected performance, robustness, and, for the first time, antifragility-systems that can benefit from variability rather than merely withstand it. We illustrate these approaches across applications ranging from detailed process models to system-level energy analyses, advancing a shift in CAPE toward designs suited for an unpredictable world.
Keywords
Antifragility, Process simulation, Robust design optimization, Uncertainty assessment
Suggested Citation
Coppitters D, Laterre A, Kchaou M, Verleysen K, Tsirikoglou P, Stock J, Weigold M, Kyprianidis K, Paepe WD, Contino F. Designing in an Unpredictable World: Novel Methods for Uncertainty Characterization, Quantification, and Optimization in Process Engineering. Systems and Control Transactions 5:558-566 (2026) https://doi.org/10.69997/sct.183116
Author Affiliations
Coppitters D: Institute of Mechanics, Materials and Civil Engineering (iMMC), Université catholique de Louvain (UCLouvain), Place du Levant, 2, 1348 Louvain-la-Neuve, Belgium [ORCID]
Laterre A: Institute of Mechanics, Materials and Civil Engineering (iMMC), Université catholique de Louvain (UCLouvain), Place du Levant, 2, 1348 Louvain-la-Neuve, Belgium [ORCID]
Kchaou M: Institute of Mechanics, Materials and Civil Engineering (iMMC), Université catholique de Louvain (UCLouvain), Place du Levant, 2, 1348 Louvain-la-Neuve, Belgium [ORCID]
Verleysen K: Thermo and Fluid dynamics (FLOW), Vrije Universiteit Brussel (VUB), Pleinlaan 2, 1050 Brussels, Belgium [ORCID]
Tsirikoglou P: Limmat Scientific AG, Weinbergstrasse 31, 8006 Zürich, Switzerland
Stock J: Institute for Production Management, Technology and Machine Tools (PTW), Technical University of Darmstadt, Otto-Berndt-Str. 2, 64287 Darmstadt, Germany [ORCID]
Weigold M: Institute for Production Management, Technology and Machine Tools (PTW), Technical University of Darmstadt, Otto-Berndt-Str. 2, 64287 Darmstadt, Germany [ORCID]
Kyprianidis K: Mälardalen University, Universitetsplan 1, Västerås, Sweden [ORCID]
Paepe WD: Thermal Engineering and Combustion Unit, University of Mons, Rue de l'Épargne 56, Mons, 7000, Belgium [ORCID]
Contino F: Institute of Mechanics, Materials and Civil Engineering (iMMC), Université catholique de Louvain (UCLouvain), Place du Levant, 2, 1348 Louvain-la-Neuve, Belgium [ORCID]
[Login] to see author email addresses.
Journal Name
Systems and Control Transactions
Volume
5
First Page
558
Last Page
566
Year
2026
Publication Date
2026-06-12
Version Comments
Original Submission
Other Meta
PII: 0558-0566-226-SCT-5-2026, Publication Type: Journal Article
Record Map
Published Article

LAPSE:2026.0272
This Record
External Link

https://doi.org/10.69997/sct.183116
Publisher Version
Download
Files
Jun 12, 2026
Main Article
License
CC BY-SA 4.0
Meta
Record Statistics
Record Views
11
Version History
[v1] (Original Submission)
Jun 12, 2026
 
Verified by curator on
Jun 12, 2026
This Version Number
v1
Citations
Most Recent
This Version
URL Here
https://psecommunity.org/LAPSE:2026.0272
 
Record Owner
PSE Press
Links to Related Works
Directly Related to This Work
Publisher Version
References Cited
  1. Gani R, Cameron I, Lucia A, Sin G, Georgiadis M. Process systems engineering, 2. modeling and simulation. Ullmann's Encyclopedia of Industrial Chemistry : (2012) https://doi.org/10.1002/14356007.o22_o06
  2. van der Spek M, Fout T, Garcia M, Kuncheekanna VN, Matuszewski M, McCoy S, Morgan J, Nazir SM, Ramirez A, Roussanaly S, Rubin ES. Uncertainty analysis in the techno-economic assessment of CO2 capture and storage technologies. critical review and guidelines for use. International Journal of Greenhouse Gas Control 100:103113 (2020) https://doi.org/10.1016/j.ijggc.2020.103113
  3. Mavromatidis G, Orehounig K, Carmeliet J. A review of uncertainty characterisation approaches for the optimal design of distributed energy systems. Renewable and Sustainable Energy Reviews 88:258-277 (2018) https://doi.org/10.1016/j.rser.2018.02.021
  4. Zhang J. Modern monte carlo methods for efficient uncertainty quantification and propagation: a survey. WIREs Computational Stats 13: (2020) https://doi.org/10.1002/wics.1539
  5. Bertsimas D, Sim M. The price of robustness. Operations Research 52:35-53 (2004) https://doi.org/10.1287/opre.1030.0065
  6. Sahinidis NV. Optimization under uncertainty: state-of-the-art and opportunities. Computers & Chemical Engineering 28:971-983 (2004) https://doi.org/10.1016/j.compchemeng.2003.09.017
  7. Grigore B, Peters J, Hyde C, Stein K. Methods to elicit probability distributions from experts: a systematic review of reported practice in health technology assessment. PharmacoEconomics 31:991-1003 (2013) https://doi.org/10.1007/s40273-013-0092-z
  8. Coppitters D, Contino F. Optimizing upside variability and antifragility in renewable energy system design. Sci Rep 13: (2023) https://doi.org/10.1038/s41598-023-36379-8
  9. Cook JD. Determining distribution parameters from quantiles. UT MD Anderson Cancer Center Dept Biostatistics (2010)
  10. Ferson S, Ginzburg LR. Different methods are needed to propagate ignorance and variability. Reliability Engineering & System Safety 54:133-144 (1996) https://doi.org/10.1016/s0951-8320(96)00071-3
  11. Coppitters D, De Paepe W, Contino F. Robust design optimization of a photovoltaic-battery-heat pump system with thermal storage under aleatory and epistemic uncertainty. Energy 229:120692 (2021) https://doi.org/10.1016/j.energy.2021.120692
  12. Sudret B. Global sensitivity analysis using polynomial chaos expansions. Reliability Engineering & System Safety 93:964-979 (2008) https://doi.org/10.1016/j.ress.2007.04.002
  13. Coppitters D, Costa A, Chauvy R, Dubois L, De Paepe W, Thomas D, De Weireld G, Contino F. Energy, exergy, economic and environmental (4E) analysis of integrated direct air capture and CO 2 methanation under uncertainty. Fuel 344:127969 (2023) https://doi.org/10.1016/j.fuel.2023.127969
  14. Rixhon X, Limpens G, Coppitters D, Jeanmart H, Contino F. The role of electrofuels under uncertainties for the belgian energy transition. Energies 14:4027 (2021) https://doi.org/10.3390/en14134027
  15. Abraham S et al. A robust and efficient stepwise regression method for building sparse polynomial chaos expansions. J Comput Phys 332:461-474 (2017) https://doi.org/10.1016/j.jcp.2016.12.019
  16. De Meulenaere R, Coppitters D, Sikkema A, Maertens T, Blondeau J. Uncertainty quantification for thermodynamic simulations with high-dimensional input spaces using sparse polynomial chaos expansion: retrofit of a large thermal power plant. Applied Sciences 13:10751 (2023) https://doi.org/10.3390/app131910751
  17. Schöbi R, Sudret B. Global sensitivity analysis in the context of imprecise probabilities (p-boxes) using sparse polynomial chaos expansions. Reliab Eng Syst Saf 187:129-141 (2019) https://doi.org/10.1016/j.ress.2019.02.017
  18. Paepe W, Coppitters D, Abraham S, Tsirikoglou P, Ghorbaniasl G, Contino F. Robust operational optimization of a typical micro gas turbine. Energy Procedia 158:5795-5803 (2019) https://doi.org/10.1016/j.egypro.2019.01.549
  19. Coppitters D, De Paepe W, Contino F. Robust design optimization and stochastic performance analysis of a grid-connected photovoltaic system with battery storage and hydrogen storage. Energy 213:118798 (2020) https://doi.org/10.1016/j.energy.2020.118798
  20. Tsirikoglou P, Abraham S, Contino F, Ba?ci Ö, Vierendeels J, Ghorbaniasl G. Comparison of metaheuristics algorithms on robust design optimization of a plain-fin-tube heat exchanger. 18th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference : (2017) https://doi.org/10.2514/6.2017-3827
  21. Coppitters D, Tsirikoglou P, Paepe W, Kyprianidis K, Kalfas A, Contino F. RHEIA: robust design optimization of renewable hydrogen and derived energy carrier systems. JOSS 7:4370 (2022) https://doi.org/10.21105/joss.04370
  22. Verleysen K, Coppitters D, Parente A, De Paepe W, Contino F. How can power-to-ammonia be robust? optimization of an ammonia synthesis plant powered by a wind turbine considering operational uncertainties. Fuel 266:117049 (2020) https://doi.org/10.1016/j.fuel.2020.117049
  23. Coppitters D, Verleysen K, De Paepe W, Contino F. How can renewable hydrogen compete with diesel in public transport? robust design optimization of a hydrogen refueling station under techno-economic and environmental uncertainty. Applied Energy 312:118694 (2022) https://doi.org/10.1016/j.apenergy.2022.118694
  24. Taleb NN. 'antifragility' as a mathematical idea. Nature 494:430-430 (2013) https://doi.org/10.1038/494430e
  25. Frank M et al. A software framework for optimization under stochastic uncertainty to achieve antifragility. Procedia CIRP
  26. Lombardi F, van Greevenbroek K, Grochowicz A, Lau M, Neumann F, Patankar N, Vågerö O. Near-optimal energy planning strategies with modeling to generate alternatives to flexibly explore practically desirable options. Joule 9:102144 (2025) https://doi.org/10.1016/j.joule.2025.102144
  27. Laterre A, Coppitters D, Lemort V, Contino F. Designing small-scale rankine carnot batteries that suit your preferences: a near-optimal approach. Journal of Energy Storage 141:118650 (2026) https://doi.org/10.1016/j.est.2025.118650
(0.09 seconds)

[0.1 s]