NDLI: Static output feedback stabilization of nonlinear fractional-order glucose-insulin system

Content Provider	IEEE Xplore Digital Library
Author	N'Doye, I. Voos, H. Darouach, M. Schneider, J.G. Knauf, N.
Copyright Year	2012
Description	Author affiliation: University of Luxembourg, Luxembourg Centre for Systems Biomedicine, 7, Avenue des hauts Fournaux L-4362 Belval, Luxembourg (Schneider, J.G.) \|\| Centre Hospitalier du Nord, 120, Avenue Salentiny L-9080 Ettelbruck, Luxembourg (Knauf, N.) \|\| University of Luxembourg, Faculté des Sciences, de la Technologie et de la Communication, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg (N'Doye, I.; Voos, H.) \|\| Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039) Université de Lorraine - CNRS, IUT de Longwy, 186 rue de Lorraine 54400 Cosnes et Romain, France (Darouach, M.)
Abstract	Diabetes is a long-term disease during which the body's production and use of the insulin are impaired, causing glucose concentration level to increase in the bloodstream. The blood glucose dynamics is described using the generalized minimal model structure for the intravenously infused insulin-blood glucose, which can represent a wide variety of diabetic patients. In this paper, it is an attempt to incorporate fractional-order derivative into the mathematical minimal model of glucose-insulin system dynamics and it is still an interesting challenge to determine, mathematically, how the order of a fractional differential system affects the dynamics of system. The paper presents the asymptotical stabilization problem of nonlinear fractional-order glucose-insulin systems. A static output feedback control is considered for the problem. Sufficient conditions for the asymptotical stabilization of the nonlinear fractional-order glucose-insulin system are derived in terms of linear matrix inequalities (LMIs) formulation by using the fractional Lyapunov direct method where the fractional-order α belonging to 0 < α < 1. Finally, numerical simulations are carried out to illustrate our proposed results. These numerical simulations show that the nonlinear fractional-order glucose-insulin systems are, at least, as stable as their integer order counterpart.
Starting Page	589
Ending Page	594
File Size	561572
Page Count	6
File Format	PDF
ISBN	9781467316644
e-ISBN	9781467316668
DOI	10.1109/IECBES.2012.6498043
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-17
Publisher Place	Malaysia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Minimal model of glucose-insulin Fractional-order model Lyapunov fractional Diabetes control Static output state feedback Linear matrix inequality (LMI) Fractional calculus Asymptotical stabilization
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in