Reference : H-infinity Static Output Feedback Control for a Fractional-Order Glucose-Insulin System

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Chemical engineering
	To cite this reference:	http://hdl.handle.net/10993/6134

Title :	H-infinity Static Output Feedback Control for a 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 :	2013
Main document title :	6th Workshop on Fractional Differentiation and Its Applications. Part of 2013 IFAC Joint Conference SSSC, TDS and FDA (2013), Grenoble, February 4-6, 2013
Peer reviewed :	Yes
Audience :	International
Event name :	6th Workshop on Fractional Differentiation and Its Applications. Part of 2013 IFAC Joint Conference SSSC, TDS and FDA (2013)
Event date :	February 4-6, 2013
Keywords :	[en] Fractional calculus ; fractional-order model ; minimal model of glucose-insulin ; diabetes control ; H-infinity control ; static output feedback ; fractional-order Lyapunov method ; linear matrix inequality (LMI)
Abstract :	[en] This paper presents the H-infinity static output feedback control of nonlinear fractional-order glucose-insulin systems. In this paper, it is an attempt to incorporate fractional-order into the mathematical minimal model of glucose-insulin system dynamics and it is still an interesting challenge to show, how the order of a fractional di erential system a ects the dynamics of system in the presence of meal disturbance. A static output feedback control is considered for the problem. Su fficient conditions are derived in terms of linear matrix inequalities (LMIs) formulation by using the fractional Lyapunov direct method where the fractional-order \alpha belongs to 0<\alpha<1. Finally, numerical simulations are carried out to illustrate our proposed results and show that the nonlinear fractional-order glucose-insulin systems are as stable as their integer-order counterpart in the presence of exogenous glucose infusion or meal disturbance.
Permalink :	http://hdl.handle.net/10993/6134

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