TY - JOUR
T1 - Parameter identification and state estimation for a diabetic glucose-insulin model via an adaptive observer
AU - Franco, Roberto
AU - Ríos, Héctor
AU - Ferreira de Loza, Alejandra
AU - Cassany, Louis
AU - Gucik-Derigny, David
AU - Cieslak, Jérôme
AU - Henry, David
N1 - Publisher Copyright:
© 2022 John Wiley & Sons Ltd.
PY - 2022
Y1 - 2022
N2 - In this article, an adaptive observer is designed for patients with Type 1 Diabetes Mellitus. The adaptive observer, synthesized using the so-called Bergman's Minimal Model, simultaneously estimates the states and the parameter corresponding to the insulin-independent glucose disappearance rate. The adaptive observer deals with parameter uncertainties, whereas the food intake is regarded as an external disturbance. The adaptive observer relies on intravenous glucose measurements. The state estimation error converges to a neighborhood of the origin despite the effects of the external disturbances and uncertainties, while the parameter estimation error converges in a fixed time to a neighborhood of the origin. The adaptive observer synthesis is given by a constructive method based on linear matrix inequalities. Simulation results show the feasibility of the proposed scheme. Moreover, the approach is validated in UVA/Padova metabolic simulator for ten in silico adult patients.
AB - In this article, an adaptive observer is designed for patients with Type 1 Diabetes Mellitus. The adaptive observer, synthesized using the so-called Bergman's Minimal Model, simultaneously estimates the states and the parameter corresponding to the insulin-independent glucose disappearance rate. The adaptive observer deals with parameter uncertainties, whereas the food intake is regarded as an external disturbance. The adaptive observer relies on intravenous glucose measurements. The state estimation error converges to a neighborhood of the origin despite the effects of the external disturbances and uncertainties, while the parameter estimation error converges in a fixed time to a neighborhood of the origin. The adaptive observer synthesis is given by a constructive method based on linear matrix inequalities. Simulation results show the feasibility of the proposed scheme. Moreover, the approach is validated in UVA/Padova metabolic simulator for ten in silico adult patients.
UR - http://www.scopus.com/inward/record.url?scp=85123473249&partnerID=8YFLogxK
U2 - 10.1002/rnc.6030
DO - 10.1002/rnc.6030
M3 - Artículo
AN - SCOPUS:85123473249
SN - 1049-8923
JO - International Journal of Robust and Nonlinear Control
JF - International Journal of Robust and Nonlinear Control
ER -