In this work we consider the local sampled-data stabilization of human plasma glycemia. It is proved theoretically that the implementation by sampling and holding, for suitable small sampling period, of a state feedback which is shown in the literature to yield local stabilization when applied in a continuous time basis, yields local practical stabilization, with arbitrarily small final target ball. The model of the system is given by a nonlinear retarded functional differential equation and the above state feedback is provided by standard tools of differential geometry for time-delay systems. The proposed theoretical result proves an important property for the digital implementation of the controller, which has been shown in past literature to perform very well when checked in closed-loop with well known computer simulators of diabetic patients approved by the Food and Drug Administration as a substitute of animal trials.

Pepe, P., Palumbo, P., Panunzi, S., De Gaetano, A. (2017). Local sampled-data control of the glucose-insulin system. In 2017 American Control Conference, ACC 2017; Sheraton Seattle Hotel, Seattle; United States; 24-26 May 2017 (pp.110-115). Institute of Electrical and Electronics Engineers Inc. [10.23919/ACC.2017.7962939].

Local sampled-data control of the glucose-insulin system

Palumbo, P
;
2017

Abstract

In this work we consider the local sampled-data stabilization of human plasma glycemia. It is proved theoretically that the implementation by sampling and holding, for suitable small sampling period, of a state feedback which is shown in the literature to yield local stabilization when applied in a continuous time basis, yields local practical stabilization, with arbitrarily small final target ball. The model of the system is given by a nonlinear retarded functional differential equation and the above state feedback is provided by standard tools of differential geometry for time-delay systems. The proposed theoretical result proves an important property for the digital implementation of the controller, which has been shown in past literature to perform very well when checked in closed-loop with well known computer simulators of diabetic patients approved by the Food and Drug Administration as a substitute of animal trials.
paper
Artificial Pancreas; Sampled-data control; Model based control
English
American Control Conference (ACC) MAY 24-26
2017
2017 American Control Conference, ACC 2017; Sheraton Seattle Hotel, Seattle; United States; 24-26 May 2017
9781509059928
2017
2017
29 June
110
115
7962939
open
Pepe, P., Palumbo, P., Panunzi, S., De Gaetano, A. (2017). Local sampled-data control of the glucose-insulin system. In 2017 American Control Conference, ACC 2017; Sheraton Seattle Hotel, Seattle; United States; 24-26 May 2017 (pp.110-115). Institute of Electrical and Electronics Engineers Inc. [10.23919/ACC.2017.7962939].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/246795
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