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Journal of Electrical and Computer Engineering
Volume 2011 (2011), Article ID 728540, 12 pages
http://dx.doi.org/10.1155/2011/728540
Research Article

Quasi-Model-Based Control of Type 1 Diabetes Mellitus

Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, H-1117 Budapest, Magyar Tudósok krt. 2, Hungary

Received 7 July 2010; Revised 1 November 2010; Accepted 26 March 2011

Academic Editor: Eldon D. Lehmann

Copyright © 2011 András György et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Glucose-insulin models appeared in the literature are varying in complexity. Hence, their use in control theory is not trivial. The paper presents an optimal controller design framework to investigate the type 1 diabetes from control theory point of view. Starting from a recently published glucose-insulin model a Quasi Model with favorable control properties is developed minimizing the physiological states to be taken into account. The purpose of the Quasi Model is not to model the glucose-glucagon-insulin interaction precisely, but only to grasp the characteristic behavior such that the designed controller can successfully regulate the unbalanced system. Different optimal control strategies (pole-placement, LQ, Minimax control) are designed on the Quasi Model, and the obtained controllers' applicability is investigated on two more sophisticated type 1 diabetic models using two absorption scenarios. The developed framework could help researchers engaging the control problem of diabetes.