Output-Feedback Sliding-Mode Controller for Blood Glucose Regulation in Critically Ill Patients Affected by Type 1 Diabetes
Roberto Franco, Alejandra Ferreira de Loza, Héctor Ríos, Louis Cassany, David Gucik‐Derigny, Jérôme Cieslak, David Henry, Loïc Olçomendy
Abstract
In this brief, an output feedback continuous twisting algorithm is applied to solve the problem of glucose regulation in critically ill patients affected with type 1 diabetes mellitus. The proposed approach copes with disturbances coming from intrapatient and interpatient variability and does not need meal announcements. The blood glucose measurement and insulin infusion are via intravenous. The proposed algorithm regulates blood glucose and keeps it in the normoglycemia range, i.e., 70–180 mg/dl without nursing intervention. Therefore, the workload at the intensive care unit is alleviated. Besides, we provide a criterion to set the output feedback continuous twisting algorithm gains, which may be used for individualizing the insulin therapy. The approach is validated in the Universities of Virginia and Padua (UVA/Padua) metabolic simulator for ten <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">in silico</i> adult patients with unannounced meal intake. The results show excellent performance as well as minimal risk of hyperglycemic and hypoglycemic events. In addition, an open-loop study case is presented to evidence the advantages of output feedback continuous twisting algorithm over a traditional brief-based protocol in terms of nurse workload mitigation.