Quasi model based optimal control of type 1 diabetes mellitus

Levente Kovács, András György, Péter Szalay, Dániel A. Drexler, Balázs Benyó, Zoltán Benyó

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


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
Title of host publicationProceedings of the 18th IFAC World Congress
PublisherIFAC Secretariat
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
Publication statusPublished - Jan 1 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
ISSN (Print)1474-6670


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

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • Cite this

    Kovács, L., György, 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 (1 PART 1 ed., pp. 5012-5017). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.02859