Linear time-varying Luenberger observer applied to diabetes

Orozco López, Onofre and Castañeda Hernández, Carlos Eduardo and Rodriguez Herrero, Agustin and García Saez, Gema and Hernando Pérez, Maria Elena (2018). Linear time-varying Luenberger observer applied to diabetes. "IEEE Access", v. 6 ; pp. 23612-23625. ISSN 2169-3536.


Title: Linear time-varying Luenberger observer applied to diabetes
  • Orozco López, Onofre
  • Castañeda Hernández, Carlos Eduardo
  • Rodriguez Herrero, Agustin
  • García Saez, Gema
  • Hernando Pérez, Maria Elena
Item Type: Article
Título de Revista/Publicación: IEEE Access
Date: 12 April 2018
ISSN: 2169-3536
Volume: 6
Freetext Keywords: Artificial pancreas, Luenberger observer, type 1 diabetes, Glucose
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Tecnología Fotónica y Bioingeniería
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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We present a linear time-varying Luenberger observer (LTVLO) using compartmental models to estimate the unmeasurable states in patients with type 1 diabetes. The LTVLO proposed is based on the linearization in an operation point of the virtual patient (VP), where a linear time-varying system is obtained. LTVLO gains are obtained by selection of the asymptotic eigenvalues where the observability matrix is assured. The estimation of the unmeasurable variables is done using Ackermann’s methodology. The Lyapunov approach is used to prove the stability of the time-varying proposal. In order to evaluate the proposed methodology, we designed three experiments: A) VP obtained with Bergman’s minimal model, B) VP obtained with Hovorka’s model, and C) real patient data set. For both experiments A) and B), it is applied a meal plan to the VP, where the dynamic response of each state model is compared to the response of each variable of the time-varying observer. Once the observer is obtained in experiment B), the proposal is applied to experiment C) with data extracted from real patients and the unmeasurable state space variables are obtained with the LTVLO. LTVLO methodology has the feature of being updated each time instant to estimate the states under a known structure. The results are obtained using simulation with M atlabTM and SimulinkTM. The LTVLO estimates the unmeasurable states from in silico patients with high accuracy by means of the update of Luenberger gains at each iteration. The accuracy of the estimated state space variables is validated through the fit parameter.

Funding Projects

Government of SpainPI14/00109FIT-CLOOPUnspecifiedIncorporación de la medida continua de ejercicio al control en lazo cerrado en la diabetes tipo 1

More information

Item ID: 54571
DC Identifier:
OAI Identifier:
DOI: 10.1109/ACCESS.2018.2825989
Official URL:
Deposited by: Memoria Investigacion
Deposited on: 09 Apr 2019 17:55
Last Modified: 30 Nov 2022 09:00
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