Quasi model based optimal control of type 1 diabetes mellitus

Levente Kovács, Andras Gyorgy, Péter Szalay, Dániel A. Drexler, Balázs Benyó, Zoltán Benyó

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

Abstract

The paper presents an optimal controller design framework to investigate the type 1 diabetes from control theory point of view. The starting point of the problem is based on a recently published glucose-insulin model (Liu and Tang [2008]). Based on this a Quasi Model (a type 1 diabetes linear model) with favorable control properties is developed minimizing the physiological states to be taken into account. Consequently, different optimal control strategies (LQ, minimax control) can be designed on the Quasi Model, and the obtained controller applicability is investigated on more sophisticated type 1 diabetic models. It has to be remarked that it is not the purpose of the Quasi Model to model precisely the glucose-glucagon-insulin interaction, only to grasp the characteristic behavior such that the designed controller can successfully regulate the unbalanced system. In order to validate the applicability of this method, absorption scenarios taken from the model of Dalla Man et al. [2007] are generated and the controller is tested on the modified Liu-Tang model (Liu and Tang [2008]) as well as on the modified Sorensen model (Parker et al. [2000]).

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
Pages5012-5017
Number of pages6
Volume18
EditionPART 1
DOIs
StatePublished - Dec 1 2011
Event18th IFAC World Congress - Milano, Italy
Duration: Aug 28 2011Sep 2 2011

Other

Other18th IFAC World Congress
CountryItaly
CityMilano
Period8/28/119/2/11

Fingerprint

Medical problems
Controllers
Insulin
Glucose
Control theory

Keywords

  • Liu-Tang model
  • Minimax Control
  • Quasi Model
  • Sorensen model
  • Type 1 diabetes mellitus

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Kovács, L., Gyorgy, A., Szalay, P., Drexler, D. A., Benyó, B., & Benyó, Z. (2011). Quasi model based optimal control of type 1 diabetes mellitus. In Proceedings of the 18th IFAC World Congress (PART 1 ed., Vol. 18, pp. 5012-5017) https://doi.org/10.3182/20110828-6-IT-1002.02859

Quasi model based optimal control of type 1 diabetes mellitus. / Kovács, Levente; Gyorgy, Andras; Szalay, Péter; Drexler, Dániel A.; Benyó, Balázs; Benyó, Zoltán.

Proceedings of the 18th IFAC World Congress. Vol. 18 PART 1. ed. 2011. p. 5012-5017.

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

Kovács, L, Gyorgy, A, Szalay, P, Drexler, DA, Benyó, B & Benyó, Z 2011, Quasi model based optimal control of type 1 diabetes mellitus. in Proceedings of the 18th IFAC World Congress. PART 1 edn, vol. 18, pp. 5012-5017, 18th IFAC World Congress, Milano, Italy, 8/28/11. https://doi.org/10.3182/20110828-6-IT-1002.02859
Kovács L, Gyorgy A, Szalay P, Drexler DA, Benyó B, Benyó Z. Quasi model based optimal control of type 1 diabetes mellitus. In Proceedings of the 18th IFAC World Congress. PART 1 ed. Vol. 18. 2011. p. 5012-5017 https://doi.org/10.3182/20110828-6-IT-1002.02859
Kovács, Levente ; Gyorgy, Andras ; Szalay, Péter ; Drexler, Dániel A. ; Benyó, Balázs ; Benyó, Zoltán. / Quasi model based optimal control of type 1 diabetes mellitus. Proceedings of the 18th IFAC World Congress. Vol. 18 PART 1. ed. 2011. pp. 5012-5017
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