Semiglobal Sampled-Data Dynamic Output Feedback Controller for the Glucose-Insulin System

In this paper, we deal with the problem of tracking a desired plasma glucose concentration by means of intravenous insulin administration, for Type 2 diabetic patients. A nonlinear time-delay model is used to describe the glucose-insulin regulatory system, according to which a model-based approach i...

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Bibliographic Details
Published in:IEEE transactions on control systems technology 2020-01, Vol.28 (1), p.16-32
Main Authors: Di Ferdinando, Mario, Pepe, Pierdomenico, Palumbo, Pasquale, Panunzi, Simona, De Gaetano, Andrea
Format: Article
Language:English
Subjects:
<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">in silico validation
Control systems
Control theory
Diabetes
Feedback control
Glucose
Glucose–insulin model
Insulin
Mathematical model
nonlinear time-delay systems
Output feedback
Plasmas
Regulators
sampled-data output feedback controllers
stabilization in the sample-and-hold sense
Sugar
Virtual environments
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Summary:In this paper, we deal with the problem of tracking a desired plasma glucose concentration by means of intravenous insulin administration, for Type 2 diabetic patients. A nonlinear time-delay model is used to describe the glucose-insulin regulatory system, according to which a model-based approach is exploited to design a semiglobal sampled-data dynamic output feedback controller. It is shown that emulation, by Euler approximation, of a proposed continuous-time control law yields stabilization in the sample-and-hold sense of the glucose-insulin system. The glucose regulator makes use of only sampled glucose measurements. Theoretical results are preclinically validated through a virtual environment broadly accepted as a substitute to animal trials for the preclinical testing of control strategies in plasma glucose regulation. Numerical results are encouraging and pave the way to further clinical verifications.
ISSN:1063-6536
1558-0865
DOI:10.1109/TCST.2018.2881662