Robust μ -Controller for Automatic Glucose Regulation for Type I Diabetes Mellitus

Jordan Kralev () and Tsonyo Slavov
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Jordan Kralev: Department of Systems and Control, Technical University of Sofia, 1756 Sofia, Bulgaria
Tsonyo Slavov: Department of Systems and Control, Technical University of Sofia, 1756 Sofia, Bulgaria

Mathematics, 2023, vol. 11, issue 18, 1-26

Abstract: Type I diabetes mellitus is a serious autoimmune condition impacting a large population around the world that need a daily infusion of insulin substitutes to regulate blood glucose levels within healthy limits. The purpose of the study was to design a robust μ -controller based on an uncertain linear-time invariant (LTI) representation of the Hovorka model for glucose–insulin metabolism. The model set was obtained using linearization around an equilibrium point and adding parametric uncertainty to account for the time delay variation between plasma glucose concentration and its subcutaneous measurement. As a result, the robust stability and performance of the closed loop were proved using the structured singular value μ . The performance of the designed controller was also checked with a numerical simulation in connection with the nonlinear model.

Keywords: robust control; DK iterations; type I diabetes mellitus (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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