Luenberger observer with nonlinear structure applied to diabetes type 1

Orozco López, Onofre and Castañeda Hernández, Carlos Eduardo and Rodriguez Herrero, Agustin and García Saez, Gema and Hernando Perez, Maria Elena (2018). Luenberger observer with nonlinear structure applied to diabetes type 1. "International Journal of Combinatorial Optimization Problems and Informatics", v. 9 (n. 1); pp. 68-80. ISSN 2007-1558.

Description

Title: Luenberger observer with nonlinear structure applied to diabetes type 1
Author/s:
  • Orozco López, Onofre
  • Castañeda Hernández, Carlos Eduardo
  • Rodriguez Herrero, Agustin
  • García Saez, Gema
  • Hernando Perez, Maria Elena
Item Type: Article
Título de Revista/Publicación: International Journal of Combinatorial Optimization Problems and Informatics
Date: January 2018
ISSN: 2007-1558
Volume: 9
Subjects:
Freetext Keywords: Luenberger observer, state space estimator, diabetes type 1, artificial pancreas
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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Abstract

In this work a Luenberger observer (LO) for type 1 diabetes is established using the Hovorka?s model (HM). The HM is linearized around an operating point and the eigenvalues are calculated. The LO is designed relocating the HM eigenvalues through the Ackermann?s methodology for linear observers where the proposed LO keeps the nonlinear structure of the model system. The LO is parameterized and tuned with the mean from six virtual patients of HM. Once the observer performance is reliable estimating the state space variables for HM, the virtual patients are changed by patients of Bergman?s model in order to test the observer behavior under unknown dynamics. These estimated variables constitute the ones corresponding to HM. The variables are estimated by the data computational processing which correspond to the insulin (input) and glucose (output) of the virtual patients. The estimated variables by the LO are very similar for virtual patients generated by both models, where the parameter FIT is used to quantify the performance of the observer. The computational implementation of the LO is useful tool to estimate the unmeasured variables in diabetic patients so they can be used in the artificial pancreas.

More information

Item ID: 54595
DC Identifier: http://oa.upm.es/54595/
OAI Identifier: oai:oa.upm.es:54595
Official URL: https://www.semanticscholar.org/paper/Luenberger-observer-with-nonlinear-structure-to-1-Orozco-Hern%C3%A1ndez/fb4f8cc6496e13865b6fea6b4aeb69bf422f7335
Deposited by: Memoria Investigacion
Deposited on: 09 Apr 2019 18:04
Last Modified: 09 Apr 2019 18:04
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