A Digital Glucose Control Strategy Via Subcutaneous Insulin Infusion

In this paper, the plasma glucose regulation problem for Type 2 diabetic patientsby subcutaneous insulin infusion is studied. A nonlinear time-delay model of the glucose-insulinregulatory system, which takes into account the subcutaneous infusion of insulin, is exploited forthe design of a quantized sampled-data static state feedback glucose controller. Quantization inboth input/output channels is considered. Spline interpolation methodologies are used in orderto obtain an approximation of suitable needed past values of the system state that cannot bealways available from the buffer. The stabilization in the sample-and-hold sense is used in orderto prove that the proposed digital glucose regulator ensures the semi-global practical stabilityof the related closed-loop tracking error system, with arbitrarily small final target ball. Theproposed digital glucose regulator is validated through simulations.