Induced L2-norm minimization of glucose-insulin system for type i diabetic patients

Levente Kovács, Balázs Kulcsár, Balázs Benyó, Zoltán Benyó

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

Using induced L2-norm minimization, a robust controller was developed for insulin delivery in Type I diabetic patients. The high-complexity nonlinear diabetic patient Sorensen-model was considered and Linear Parameter Varying methodology was used to develop open loop model and robust controller. Considering the normoglycemic set point (81.1 mg/dL), a polytopic set was created over the physiologic boundaries of the glucose-insulin interaction of the Sorensen-model. In this way, Linear Parameter Varying model formalism was defined. The robust control was developed considering input and output multiplicative uncertainties with two additional uncertainties from those used in the literature: sensor noise and worst case design for meal disturbance (60 g carbohydrate).

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
Pages55-60
Number of pages6
Volume7
EditionPART 1
DOIs
Publication statusPublished - 2009
Event7th IFAC Symposium on Modelling and Control in Biomedical Systems (including Biological Systems) MCBMS'09 - Aalborg, Denmark
Duration: Aug 12 2009Aug 14 2009

Other

Other7th IFAC Symposium on Modelling and Control in Biomedical Systems (including Biological Systems) MCBMS'09
CountryDenmark
CityAalborg
Period8/12/098/14/09

Fingerprint

Insulin
Glucose
Controllers
Carbohydrates
Robust control
Sensors
Uncertainty

Keywords

  • LPV
  • Polytopic set
  • Robust control
  • Type I diabetes
  • Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Kovács, L., Kulcsár, B., Benyó, B., & Benyó, Z. (2009). Induced L2-norm minimization of glucose-insulin system for type i diabetic patients. In IFAC Proceedings Volumes (IFAC-PapersOnline) (PART 1 ed., Vol. 7, pp. 55-60) https://doi.org/10.3182/20090812-3-DK-2006.0068

Induced L2-norm minimization of glucose-insulin system for type i diabetic patients. / Kovács, Levente; Kulcsár, Balázs; Benyó, Balázs; Benyó, Zoltán.

IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 7 PART 1. ed. 2009. p. 55-60.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kovács, L, Kulcsár, B, Benyó, B & Benyó, Z 2009, Induced L2-norm minimization of glucose-insulin system for type i diabetic patients. in IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 edn, vol. 7, pp. 55-60, 7th IFAC Symposium on Modelling and Control in Biomedical Systems (including Biological Systems) MCBMS'09, Aalborg, Denmark, 8/12/09. https://doi.org/10.3182/20090812-3-DK-2006.0068
Kovács L, Kulcsár B, Benyó B, Benyó Z. Induced L2-norm minimization of glucose-insulin system for type i diabetic patients. In IFAC Proceedings Volumes (IFAC-PapersOnline). PART 1 ed. Vol. 7. 2009. p. 55-60 https://doi.org/10.3182/20090812-3-DK-2006.0068
Kovács, Levente ; Kulcsár, Balázs ; Benyó, Balázs ; Benyó, Zoltán. / Induced L2-norm minimization of glucose-insulin system for type i diabetic patients. IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 7 PART 1. ed. 2009. pp. 55-60
@inproceedings{f92ca831faa1473ab41c8df01dc242c6,
title = "Induced L2-norm minimization of glucose-insulin system for type i diabetic patients",
abstract = "Using induced L2-norm minimization, a robust controller was developed for insulin delivery in Type I diabetic patients. The high-complexity nonlinear diabetic patient Sorensen-model was considered and Linear Parameter Varying methodology was used to develop open loop model and robust controller. Considering the normoglycemic set point (81.1 mg/dL), a polytopic set was created over the physiologic boundaries of the glucose-insulin interaction of the Sorensen-model. In this way, Linear Parameter Varying model formalism was defined. The robust control was developed considering input and output multiplicative uncertainties with two additional uncertainties from those used in the literature: sensor noise and worst case design for meal disturbance (60 g carbohydrate).",
keywords = "LPV, Polytopic set, Robust control, Type I diabetes, Uncertainty",
author = "Levente Kov{\'a}cs and Bal{\'a}zs Kulcs{\'a}r and Bal{\'a}zs Beny{\'o} and Zolt{\'a}n Beny{\'o}",
year = "2009",
doi = "10.3182/20090812-3-DK-2006.0068",
language = "English",
isbn = "9783902661494",
volume = "7",
pages = "55--60",
booktitle = "IFAC Proceedings Volumes (IFAC-PapersOnline)",
edition = "PART 1",

}

TY - GEN

T1 - Induced L2-norm minimization of glucose-insulin system for type i diabetic patients

AU - Kovács, Levente

AU - Kulcsár, Balázs

AU - Benyó, Balázs

AU - Benyó, Zoltán

PY - 2009

Y1 - 2009

N2 - Using induced L2-norm minimization, a robust controller was developed for insulin delivery in Type I diabetic patients. The high-complexity nonlinear diabetic patient Sorensen-model was considered and Linear Parameter Varying methodology was used to develop open loop model and robust controller. Considering the normoglycemic set point (81.1 mg/dL), a polytopic set was created over the physiologic boundaries of the glucose-insulin interaction of the Sorensen-model. In this way, Linear Parameter Varying model formalism was defined. The robust control was developed considering input and output multiplicative uncertainties with two additional uncertainties from those used in the literature: sensor noise and worst case design for meal disturbance (60 g carbohydrate).

AB - Using induced L2-norm minimization, a robust controller was developed for insulin delivery in Type I diabetic patients. The high-complexity nonlinear diabetic patient Sorensen-model was considered and Linear Parameter Varying methodology was used to develop open loop model and robust controller. Considering the normoglycemic set point (81.1 mg/dL), a polytopic set was created over the physiologic boundaries of the glucose-insulin interaction of the Sorensen-model. In this way, Linear Parameter Varying model formalism was defined. The robust control was developed considering input and output multiplicative uncertainties with two additional uncertainties from those used in the literature: sensor noise and worst case design for meal disturbance (60 g carbohydrate).

KW - LPV

KW - Polytopic set

KW - Robust control

KW - Type I diabetes

KW - Uncertainty

UR - http://www.scopus.com/inward/record.url?scp=77951466916&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77951466916&partnerID=8YFLogxK

U2 - 10.3182/20090812-3-DK-2006.0068

DO - 10.3182/20090812-3-DK-2006.0068

M3 - Conference contribution

AN - SCOPUS:77951466916

SN - 9783902661494

VL - 7

SP - 55

EP - 60

BT - IFAC Proceedings Volumes (IFAC-PapersOnline)

ER -