Title: Robust tracking approach for controlling diabetes

Authors: Surekha Kamath

Addresses: Department of ICE, MIT Manipal, Karnataka, 576104, India

Abstract: Maintaining the glucose concentration in normoglycemic range in Type 1 diabetic patients is challenging. In this study, H∞ control is applied for the insulin delivery to prevent the hyperglycemic levels in a Type 1 diabetic patient. From a control theory point of view, the blood glucose regulation problem is reformulated as a tracking one. A glucose tolerance curve (GTC) validated from several healthy subjects is used as reference signal. A non-linear compartmental model is linearised around nominal condition and reduced for controller synthesis. The design of H∞ controller was carried out using Riccati equation. The performance of the controllers was studied by implementing them into the non-linear model. Sensitivity and complementary sensitivity functions show the nominal and robust performance of the closed loop system.

Keywords: glucose insulin modelling; mathematical modelling; H-infinity control; robust control; diabetes control; hyperglycemic levels; blood glucose regulation; tracking.

DOI: 10.1504/IJMEI.2010.035221

International Journal of Medical Engineering and Informatics, 2010 Vol.2 No.3, pp.289 - 306

Published online: 14 Sep 2010 *

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