A Robust H_{\infty} Control Approach for Blood Glucose Regulation in Type-1 Diabetes
Résumé
The paper addresses the design of a H_{\infty} closed-loop dedicated to Blood Glucose (BG)
regulation for patients affected by Type-1 Diabetes Mellitus (T1DM). The closed-loop setup is
standard, i.e. the H_{\infty} feedback controller uses the information provided by a subcutaneous
sensor to drive an insulin pump but as opposed to current existing solutions, it is proposed to
assess the capabilities of a H_{\infty} controller to be designed in a patient-independent way. For that
purpose, the design is performed on a family of linear models in order to tackle the variability of
a cohort of T1DM patients. Worst-case performance and robust margins are next computed with
the help of the H_{\infty}/µ-analysis theory. The solution is finally assessed on the adult cohort of the
high-fidelity UVA/Padova benchmark (v3.2), accepted by the US Food and Drug Administration
(FDA) as a substitute for pre-clinical testing of control strategies.