Induced L 2 -norm Minimization of Glucose-Insulin System for Type I Diabetic Patients

作     者：Levente Kovács Balázs Kulcsár Balázs Benyó Zoltán Benyó 

作者机构：Budapest University of Technology and Economics Dept. of Control Engineering and Information Technology Magyar tudósok krt. 2 Budapest H-1117 Hungary (Tel: +36-1-463-4027 ) Technical University of Delf Delft Center for System and Control Delft 2628CD-Nederland 

出 版 物：《IFAC Proceedings Volumes》 

年 卷 期：2009年第42卷第12期

页      面：55-60页

主　　题：Type I diabetes robust control LPV polytopic set uncertainty 

摘      要：Using induced L 2 -norm minimization, a robust controller was developed for insulin delivery in Type I diabetic patients. The high-complexity nonlinear diabetic patient Sorensen-model was considered and Linear Parameter Varying methodology was used to develop open loop model and robust controller. Considering the normoglycemic set point (81.1 mg/dL), a polytopic set was created over the physiologic boundaries of the glucose-insulin interaction of the Sorensen-model. In this way, Linear Parameter Varying model formalism was defined. The robust control was developed considering input and output multiplicative uncertainties with two additional uncertainties from those used in the literature: sensor noise and worst case design for meal disturbance (60 g carbohydrate).