Glucose control by subcutaneous insulin administration: a DDE modelling approach

This note investigates the problem of plasma glucose regulation by means of subcutaneous insulin administration. A discrete delay dierential equation model of the glucoseinsulin regulatory system has been considered, which properly takes into account also the pancreatic insulin release, in such a way to allow insulin therapies for both Type I and Type II diabetes (in this latter case the endogenous insulin delivery is not negligible). The method of exact input/output feedback linearization and stabilization is used, in order to ensure the local convergence of the tracking error to zero. Simulations are performed in a virtual environment, and numerical results show the eectiveness of the proposed approach.