Adaptive Control of Time-delayed Systems with Application for Control of Glucose Concentration in Type 1 Diabetic Patients

An adaptive controller for glucose control in Type 1 Diabetes Mellitus (T1DM) subject is presented in this paper. The proposed control model of T1DM subject involves a known input time-delay, due to the modeling of a subcutaneous tissues, and a disturbance submodel, where a meal ingestion acts as a measured disturbance. A main MRAC based part of controller for time-delayed systems is supplemented with a heuristic based adaptive disturbance rejection. The controller is verified by means of numerical simulations using an own implementation of T1DM simulator reported in literature.