LAPSE:2025.0520
Published Article

LAPSE:2025.0520
Optimization-based operational space design for effective bioprocess performance under uncertainty
June 27, 2025
Abstract
Maintaining consistent product quality and yield in bioprocess operations is challenging due to uncertainties inherent in biological systems. Thus, robust strategies are essential to ensure key performance indicators (KPIs), such as product concentration and yield, are consistently met despite the uncertainties. Real-time feedback co Interntrol, though widely used, is often impractical due to its reliance on expensive sensors, rapid data processing, and high-speed control actions. This paper proposes a novel approach to address these challenges by identifying the operational space for control variables, ensuring KPI reliability without requiring real-time control. This operational space serves as a guideline such that, if we operate within this space, the KPIs can be reliably achieved, regardless of the considered uncertainties. Specifically, we reformulate the problem as an optimization task to maximize the operational space, subject to constraints imposed by process dynamics and performance criteria. Using CasADi for symbolic computation and IPOPT for optimization, a stage-wise procedure is implemented to enhance computational efficiency. Unlike surrogate-based methods, this approach directly preserves model fidelity and accommodates path constraints effectively. The method is validated in a case study of fermentation process, involving a time-varying control variable and seven uncertain model parameters. Results demonstrate the ability to define a reliable operational space that enables KPI adherence across parameter variations, proving the methods efficiency and practical applicability.
Maintaining consistent product quality and yield in bioprocess operations is challenging due to uncertainties inherent in biological systems. Thus, robust strategies are essential to ensure key performance indicators (KPIs), such as product concentration and yield, are consistently met despite the uncertainties. Real-time feedback co Interntrol, though widely used, is often impractical due to its reliance on expensive sensors, rapid data processing, and high-speed control actions. This paper proposes a novel approach to address these challenges by identifying the operational space for control variables, ensuring KPI reliability without requiring real-time control. This operational space serves as a guideline such that, if we operate within this space, the KPIs can be reliably achieved, regardless of the considered uncertainties. Specifically, we reformulate the problem as an optimization task to maximize the operational space, subject to constraints imposed by process dynamics and performance criteria. Using CasADi for symbolic computation and IPOPT for optimization, a stage-wise procedure is implemented to enhance computational efficiency. Unlike surrogate-based methods, this approach directly preserves model fidelity and accommodates path constraints effectively. The method is validated in a case study of fermentation process, involving a time-varying control variable and seven uncertain model parameters. Results demonstrate the ability to define a reliable operational space that enables KPI adherence across parameter variations, proving the methods efficiency and practical applicability.
Record ID
Keywords
Biosystems, Design Under Uncertainty, Operational Space, Process Control
Subject
Suggested Citation
Zhu M, Pennington O, Kay S, Zarei A, Short M, Zhang D. Optimization-based operational space design for effective bioprocess performance under uncertainty. Systems and Control Transactions 4:2291-2296 (2025) https://doi.org/10.69997/sct.131628
Author Affiliations
Zhu M: Department of Chemical Engineering, University of Manchester, Manchester, M13 9PL, UK
Pennington O: Department of Chemical Engineering, University of Manchester, Manchester, M13 9PL, UK
Kay S: Department of Chemical Engineering, University of Manchester, Manchester, M13 9PL, UK
Zarei A: School of Chemistry and Chemical Engineering, University of Surrey, Guildford, GU2 7XH, UK
Short M: School of Chemistry and Chemical Engineering, University of Surrey, Guildford, GU2 7XH, UK
Zhang D: Department of Chemical Engineering, University of Manchester, Manchester, M13 9PL, UK
Pennington O: Department of Chemical Engineering, University of Manchester, Manchester, M13 9PL, UK
Kay S: Department of Chemical Engineering, University of Manchester, Manchester, M13 9PL, UK
Zarei A: School of Chemistry and Chemical Engineering, University of Surrey, Guildford, GU2 7XH, UK
Short M: School of Chemistry and Chemical Engineering, University of Surrey, Guildford, GU2 7XH, UK
Zhang D: Department of Chemical Engineering, University of Manchester, Manchester, M13 9PL, UK
Journal Name
Systems and Control Transactions
Volume
4
First Page
2291
Last Page
2296
Year
2025
Publication Date
2025-07-01
Version Comments
Original Submission
Other Meta
PII: 2291-2296-1147-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0520
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https://doi.org/10.69997/sct.131628
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Jun 27, 2025
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References Cited
- Alford JS, Bioprocess control: Advances and challenges. Comput Chem. Eng. 30:1464-1475 (2006) https://doi.org/10.1016/j.compchemeng.2006.05.039
- Pharmaceutical development Q8. International Conference on Harmonisation of technical requirements for registration of pharmaceuticals for human use. Tech. Rep. (2006)
- Zhang D, et al., Hybrid physics-based and data-driven modeling for bioprocess online simulation and optimization. Biotechnol. Bioeng. 116(11):2919-2930 (2019) https://doi.org/10.1002/bit.27120
- Narayanan H, et al., Bioprocessing in the digital age: the role of process models. Biotechnol. J. 15(1): 1900172 (2020) https://doi.org/10.1002/biot.201900172
- Vega-Ramon F, et al., Kinetic and hybrid modeling for yeast astaxanthin production under uncertainty. Biotechnol. Bioeng.118(12): 4854-4866 (2021) https://doi.org/10.1002/bit.27950
- Simutis R, and Lübbert A, Bioreactor control improves bioprocess performance. Biotechnol. J. 10(8): 1115-1130 (2015) https://doi.org/10.1002/biot.201500016
- Rathore AS, et al. Bioprocess control: current progress and future perspectives. Life 11 (6):557 (2021) https://doi.org/10.3390/life11060557
- Guo Y, Zhao Y, and Huang B. Development of soft sensor by incorporating the delayed infrequent and irregular measurements. J Process Control 24:1733-1739 (2014) https://doi.org/10.1016/j.jprocont.2014.09.006
- Hettich R, Kortanek KO. Semi-infinite programming: theory, methods, and applications. SIAM Review 35:380-429 (1993) https://doi.org/10.1137/1035089
- Goberna MA, Lopez MA (Eds). Semi-Infinite Programming: Recent Advances. Springer (2010)
- Calafiore GC, Campi MC. The scenario approach to robust control design. IEEE Trans Autom. Control 51:742-753 (2006) https://doi.org/10.1109/TAC.2006.875041
- Bertsimas D, Brown DB, Caramanis C. Theory and applications of robust optimization. SIAM Review 53:464-501 (2011) https://doi.org/10.1137/080734510
- Chachuat B, et al.. Set-theoretic approaches in analysis, estimation and control of nonlinear systems. IFAC-PapersOnLine 48:981-995 (2015) https://doi.org/10.1016/j.ifacol.2015.09.097
- Puschke J, Djelassi H, Kleinekorte J, Hannemann-Tamás R, Mitsos A. Robust dynamic optimization of batch processes under parametric uncertainty: utilizing approaches from semi-infinite programs. Comput Chem. Eng. 116:253-267 (2018) https://doi.org/10.1016/j.compchemeng.2018.05.025
- Jin R, Chen W, Simpson TW. Comparative studies of metamodelling techniques under multiple modelling criteria. Struct Multidiscip. Optim. 23:1-13 (2001) https://doi.org/10.1007/s00158-001-0160-4
- Andersson JAE, et al.. CasADi - A software framework for nonlinear optimization and optimal control. Math. Program. Comput. 11:1-36 (2019) https://doi.org/10.1007/s12532-018-0139-4
- Wächter A, Biegler LT. On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming. Math. Program. 106:25-57 (2006) https://doi.org/10.1007/s10107-004-0559-y

