Chance Constraint Based Design of IV Insulin Control for Type 1 Diabetic Patients Under Model and Meal Uncertainties

Authors

Nandi, S., and Singh, T.

Source

ASME 2018 International Mechanical Engineering Congress and Exposition, November 9-15, Pittsburgh, Pennsylvania.

Abstract

The focus of this paper is on the development of a chance constrained controller for type 1 diabetic patients in the presence of model, meal and initial condition uncertainty. Since the chance constraints require the mean and variance of the evolving uncertain blood-glucose, a conjugate unscented transform based approach is used to estimate the blood-glucose statistics. The proposed approach is demonstrated on the classic Bergman model augmented with a gut dynamics model.