Reference : Static Output Feedback Stabilization of Nonlinear Fractional-Order Glucose-Insulin System

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Computer science
	To cite this reference:	http://hdl.handle.net/10993/6118

Title :	Static Output Feedback Stabilization of Nonlinear Fractional-Order Glucose-Insulin System
Language :	English
Author, co-author :	Ndoye, Ibrahima [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Voos, Holger [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT)]
	Darouach, Mohamed []
	Schneider, Jochen [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
	Knauf, Nicolas []
Publication date :	2012
Main document title :	IEEE EMBS Conference on Biomedical Engineering and Sciences, Malaysia, 17th - 19th December, 2012
Peer reviewed :	Yes
Audience :	International
Event name :	IEEE EMBS Conference on Biomedical Engineering and Sciences
Event date :	17th - 19th December, 2012
Event place (city) :	Langkawi
Event country :	Malaysia
Keywords :	[en] Fractional-order model ; fractional calculus ; minimal model of glucose-insulin ; diabetes control ; asymptotical stabilization ; static output state feedback ; Lyapunov fractional
Abstract :	[en] 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 \alpha belonging to 0<\alpha<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.
Permalink :	http://hdl.handle.net/10993/6118

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