Stable Impulsive Zone MPC for Type 1 Diabetic Patients based on a long-term model

Abstract

In this work, the problem of regulating blood glucose (glycemia) in type I diabeticpatients is studied by means of an impulsive zone model predictive control (iZMPC),which bases its predictions on a novel long-term glucose-insulin model. Takingadvantage of the impulsive version of the model - which features real life propertiesof diabetes patients that some other popular models do not - the given control guaranteesthe stability under moderate-to-severe plant-model mismatch and disturbances.Long-term scenarios - including meals and physiological parameter variations - aresimulated and the results are satisfactory as every hyperglycemic and hypoglycemicepisodes are suitably controlled.