On Identifiability and Model Validation of a Population Balance Model for Liquid-Liquid-Mixing
Wilms T, Topalovic D, Bliatsiou C, Villwock J, Kraume M, Bück A, Knorn S (2025)
Publication Language: English
Publication Type: Conference contribution
Publication year: 2025
Journal
Publisher: Elsevier B.V.
Book Volume: 59
Pages Range: 187-192
Conference Proceedings Title: IFAC-PapersOnLine
Event location: Vienna, AUT
DOI: 10.1016/j.ifacol.2025.03.033
Abstract
In this paper, liquid-liquid-mixer systems modelled by population balance equations are considered. As the control input / manipulated variable, the stirrer speed (and hence the energy dissipation rate) is used to control the distribution of the particle size. Three different measurement signals are considered. We investigate the observability and identifiability of the system for each measurement option and show that only in one scenario the model is observable and structurally identifiable. Further, it is shown that in this scenario, practical identifiability is generally challenging and particular care must be taken to ensure the model with identified parameter values is able to describe the dynamic behaviour of the system.
Authors with CRIS profile
Involved external institutions
Germany (DE)How to cite
APA:
Wilms, T., Topalovic, D., Bliatsiou, C., Villwock, J., Kraume, M., Bück, A., & Knorn, S. (2025). On Identifiability and Model Validation of a Population Balance Model for Liquid-Liquid-Mixing. In Lukasz Jadachowski (Eds.), IFAC-PapersOnLine (pp. 187-192). Vienna, AUT, AT: Elsevier B.V..
MLA:
Wilms, Terrance, et al. "On Identifiability and Model Validation of a Population Balance Model for Liquid-Liquid-Mixing." Proceedings of the 11th Vienna International Conference on Mathematical Modelling, MATHMOD 2025, Vienna, AUT Ed. Lukasz Jadachowski, Elsevier B.V., 2025. 187-192.
BibTeX: Download