Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach

Roberto Franco; Hector Rios; Alejandra Ferreira De Loza; Denis Efimov; Louis Cassany; David Gucik-Derigny; Jerome Cieslak; David Henry

doi:10.1109/CDC45484.2021.9683408

Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach

Roberto Franco, Hector Rios, Alejandra Ferreira De Loza, Denis Efimov, Louis Cassany, David Gucik-Derigny, Jerome Cieslak, David Henry

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper deals with the problem of robust blood glucose regulation in critically ill patients affected by type 1 diabetes mellitus. The blood glucose measurement and insulin infusion are intravenous. The proposed algorithm regulates blood glucose and keeps it in the normoglycemia range, i.e., 70-180 mg/dl. To this aim, a control law is proposed based on a Nonlinear Model Reference Adaptive Control approach. The algorithm is composed of nonlinear adaptive gains that ensure convergence to zero of the regulation error. The approach is validated in the UVA/Padova metabolic simulator for ten in silico adult patients with unannounced meals. The results perform well and have minimal risk of hyperglycemic and hypoglycemic events.

Original language	English
Title of host publication	60th IEEE Conference on Decision and Control, CDC 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	661-666
Number of pages	6
ISBN (Electronic)	9781665436595
DOIs	https://doi.org/10.1109/CDC45484.2021.9683408
State	Published - 2021
Event	60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States Duration: 13 Dec 2021 → 17 Dec 2021

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2021-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	60th IEEE Conference on Decision and Control, CDC 2021
Country/Territory	United States
City	Austin
Period	13/12/21 → 17/12/21

Bibliographical note

Funding Information:
This work was supported in part by the ECOS Nord Project M18M01, in part by SEP-CONACYT-ECOS-ANUIES 296692, and in part by the French National Agency for Research under Grant DIABLO ANR-18-CE17-0005-01. The work of Roberto Franco and Héctor Ríos was supported in part by CONACYT CVU 772057, in part by Cátedras CONACYT CVU 270504 Project 922, and in part by TecNM Projects. The work of Alejandra Ferreira de Loza was supported by Cátedras CONACYT CVU 166403, Project 1537.

Publisher Copyright:
© 2021 IEEE.

Keywords

Adaptive Control
Blood Glucose Regulation
Diabetes Mellitus Type 1

Access to Document

10.1109/CDC45484.2021.9683408

Cite this

Franco, R., Rios, H., De Loza, A. F., Efimov, D., Cassany, L., Gucik-Derigny, D., Cieslak, J., & Henry, D. (2021). Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach. In 60th IEEE Conference on Decision and Control, CDC 2021 (pp. 661-666). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC45484.2021.9683408

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title = "Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach",

abstract = "This paper deals with the problem of robust blood glucose regulation in critically ill patients affected by type 1 diabetes mellitus. The blood glucose measurement and insulin infusion are intravenous. The proposed algorithm regulates blood glucose and keeps it in the normoglycemia range, i.e., 70-180 mg/dl. To this aim, a control law is proposed based on a Nonlinear Model Reference Adaptive Control approach. The algorithm is composed of nonlinear adaptive gains that ensure convergence to zero of the regulation error. The approach is validated in the UVA/Padova metabolic simulator for ten in silico adult patients with unannounced meals. The results perform well and have minimal risk of hyperglycemic and hypoglycemic events. ",

keywords = "Adaptive Control, Blood Glucose Regulation, Diabetes Mellitus Type 1",

author = "Roberto Franco and Hector Rios and {De Loza}, {Alejandra Ferreira} and Denis Efimov and Louis Cassany and David Gucik-Derigny and Jerome Cieslak and David Henry",

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doi = "10.1109/CDC45484.2021.9683408",

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Franco, R, Rios, H, De Loza, AF, Efimov, D, Cassany, L, Gucik-Derigny, D, Cieslak, J & Henry, D 2021, Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach. in 60th IEEE Conference on Decision and Control, CDC 2021. Proceedings of the IEEE Conference on Decision and Control, vol. 2021-December, Institute of Electrical and Electronics Engineers Inc., pp. 661-666, 60th IEEE Conference on Decision and Control, CDC 2021, Austin, United States, 13/12/21. https://doi.org/10.1109/CDC45484.2021.9683408

Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach. / Franco, Roberto; Rios, Hector; De Loza, Alejandra Ferreira et al.
60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc., 2021. p. 661-666 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2021-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Franco, Roberto

AU - Rios, Hector

AU - De Loza, Alejandra Ferreira

AU - Efimov, Denis

AU - Cassany, Louis

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AU - Cieslak, Jerome

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N2 - This paper deals with the problem of robust blood glucose regulation in critically ill patients affected by type 1 diabetes mellitus. The blood glucose measurement and insulin infusion are intravenous. The proposed algorithm regulates blood glucose and keeps it in the normoglycemia range, i.e., 70-180 mg/dl. To this aim, a control law is proposed based on a Nonlinear Model Reference Adaptive Control approach. The algorithm is composed of nonlinear adaptive gains that ensure convergence to zero of the regulation error. The approach is validated in the UVA/Padova metabolic simulator for ten in silico adult patients with unannounced meals. The results perform well and have minimal risk of hyperglycemic and hypoglycemic events.

AB - This paper deals with the problem of robust blood glucose regulation in critically ill patients affected by type 1 diabetes mellitus. The blood glucose measurement and insulin infusion are intravenous. The proposed algorithm regulates blood glucose and keeps it in the normoglycemia range, i.e., 70-180 mg/dl. To this aim, a control law is proposed based on a Nonlinear Model Reference Adaptive Control approach. The algorithm is composed of nonlinear adaptive gains that ensure convergence to zero of the regulation error. The approach is validated in the UVA/Padova metabolic simulator for ten in silico adult patients with unannounced meals. The results perform well and have minimal risk of hyperglycemic and hypoglycemic events.

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Franco R, Rios H, De Loza AF, Efimov D, Cassany L, Gucik-Derigny D et al. Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach. In 60th IEEE Conference on Decision and Control, CDC 2021. Institute of Electrical and Electronics Engineers Inc. 2021. p. 661-666. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC45484.2021.9683408

Blood Glucose Regulation in Patients with Type 1 Diabetes Mellitus: A Robust MRAC Approach

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Keywords

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