Robust tracking approach for controlling diabetes

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.