Bi-hormonal Linear Time-Varying Model Predictive Control for Blood Glucose Regulation in Type 1 Diabetes Patients
Dylan Kalisvaart (TU Delft - Mechanical Engineering)
Jorge Bonekamp (Student TU Delft)
Sergio Grammatico (TU Delft - Mechanical Engineering, TU Delft - Mechanical Engineering)
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Abstract
We study predictive control for blood glucose regulation in patients with type 1 diabetes mellitus. We determine optimal control actions for insulin and glucagon infusion via linear time-varying model predictive control (LTV MPC) and dynamic linerization around the state trajectory predicted. Through in silico implementation of a comprehensive nonlinear model, we show that our proposed controller is able to reject meal disturbances, retain normoglycemia afterwards and significantly outperform standard linearized MPC.