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

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