- Title
- Optimal Responses to Constrained Bolus Inputs to Models of T1D
- Creator
- Townsend, Christopher; Seron, Maria M.; Magdelaine, Nicolas
- Relation
- 18th IFAC Workshop on Control Applications of Optimization CAO 2022. Proceedings of the 18th IFAC Workshop on Control Applications of Optimization CAO 2022 [presented in IFAC-PapersOnLine, Vol. 55 No.16] (Gif sur Yvette, FRANCE 18-22 July, 2022) p. 190-195
- Publisher Link
- http://dx.doi.org/10.1016/j.ifacol.2022.09.022
- Publisher
- Elsevier
- Resource Type
- conference paper
- Date
- 2022
- Description
- We characterise the bolus insulin input which minimises the maximum plasma glucose concentration predicted by the Magdelaine and Bergman minimal models in response to any positive bounded disturbance whilst remaining above a fixed lower plasma glucose concentration. This characterisation is in terms of the maxima and minima of the plasma glucose concentration and limits the controllability of such systems. Any further attempt to lower the maximum plasma glucose concentration will result in hypoglycaemia.
- Subject
- optimal control; model-based predictive control; insulin; glucose
- Identifier
- http://hdl.handle.net/1959.13/1492410
- Identifier
- uon:53334
- Identifier
- ISSN:2405-8963
- Language
- eng
- Reviewed
- Hits: 328
- Visitors: 324
- Downloads: 0
Thumbnail | File | Description | Size | Format |
---|