Blood glucose control in type I diabetics: An output feedback approach

Abstract

A robust H∞ controller was developed to deliver insulin via a mechanical pump in Type I diabetic patients. A fundamental nonlinear diabetic patient model was linearized and then reduced to a third-order linear form for controller synthesis. H∞ control was applied for the insulin delivery to prevent the hyperglycemic levels in Type I diabetic patient. Uncertainty in the nonlinear model was characterized by up to ±40% variation in eight physiological parameters. A sensitivity analysis identified the three parameter set having the most significant effect on glucose and insulin dynamics over the frequency range of interest [0.02 0.2](rad/min). This uncertainty was represented in the frequency domain and incorporated in the controller design. The controller performance was assessed in terms of its ability to track a normoglycemic set point(81.1 mg/dL) in response to a 50 g meal disturbance. In the nominal continuous-time case, controller maintained glucose concentrations within ± 3.3 mg/dL of set point. A controller tuned to accommodate uncertainty yielded a maximum deviation of 17.6 mg/dL for the worst-case parameter variation. © 2008 Springer-Verlag.