Impulsive Zone Model Predictive Control with Application to Type I Diabetic Patients

In this work the problem of regulating glycemia in type I diabetic patients is studied by means of a novel impulsive zone model predictive control. According to the control objective of steering the system to an arbitrary desired target set, weak stability is demonstrated based on a novel dynamic characterization of two underlying discrete-time subsystems of the original impulsive system. To evaluate the proposed strategy, a new patient model is used. A long-term scenario - including meals - is simulated, and the results appear to be satisfactory as long as every hyperglycemia and hypoglycemia episodes are suitably controlled/minimized.