Exogenous insulin administration is the standard way to regulate hyperglycemia in diabetic patients and, in the recent decades, the challenging task to design an artificial pancreas has been addressed with the aim to synthesize a closed-loop control law by means of sampled glucose measurements. Model-based control law allow to explicitly exploit the glucose-insulin mathematical model, but need to cope with different sources of uncertainties and disturbances affecting the system. The present note investigates the framework of the H∞ control as a tool to attenuate the effect of a meal, modeled as an unknown disturbance. To this end an LMI-based feedback control law is synthesized, by properly exploiting a Delay Differential Equation model of the glucose-insulin system, that makes use of only glucose measurements, to avoid the use of insulin measurements, known to be slower and more cumbersome to obtain, more expensive and also less accurate than glucose measurements. It is shown by simulations that, besides to regulate plasma glycemia onto a desired level starting from a hyperglycemic state, the control law efficiently constrains the post-prandial increase of glycemia on a very tight control, preventing dangerous oscillations.

Latafat, P., Palumbo, P., Pepe, P., Kovacs, L., Panunzi, S., De Gaetano, A. (2015). An LMI-based controller for the glucose-insulin system. In Proceedings of 14th European Control Conference (pp.7-12). Institute of Electrical and Electronics Engineers Inc. [10.1109/ECC.2015.7330517].

An LMI-based controller for the glucose-insulin system

Palumbo, P
Co-primo
;
2015

Abstract

Exogenous insulin administration is the standard way to regulate hyperglycemia in diabetic patients and, in the recent decades, the challenging task to design an artificial pancreas has been addressed with the aim to synthesize a closed-loop control law by means of sampled glucose measurements. Model-based control law allow to explicitly exploit the glucose-insulin mathematical model, but need to cope with different sources of uncertainties and disturbances affecting the system. The present note investigates the framework of the H∞ control as a tool to attenuate the effect of a meal, modeled as an unknown disturbance. To this end an LMI-based feedback control law is synthesized, by properly exploiting a Delay Differential Equation model of the glucose-insulin system, that makes use of only glucose measurements, to avoid the use of insulin measurements, known to be slower and more cumbersome to obtain, more expensive and also less accurate than glucose measurements. It is shown by simulations that, besides to regulate plasma glycemia onto a desired level starting from a hyperglycemic state, the control law efficiently constrains the post-prandial increase of glycemia on a very tight control, preventing dangerous oscillations.
paper
Glucose-Insulin System; Linear Matrix Inequalities; Retarded Systems;
English
European Control Conference JUL 15-17
2015
Proceedings of 14th European Control Conference
9783952426937
2015
7
12
7330517
open
Latafat, P., Palumbo, P., Pepe, P., Kovacs, L., Panunzi, S., De Gaetano, A. (2015). An LMI-based controller for the glucose-insulin system. In Proceedings of 14th European Control Conference (pp.7-12). Institute of Electrical and Electronics Engineers Inc. [10.1109/ECC.2015.7330517].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/246603
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