Reference : An Unknown Input Fractional-Order Observer Design for Fractional-Order Glucose-Insuli...

	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/10993/6119

Title :	An Unknown Input Fractional-Order Observer Design for 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
Pages :	596-600
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 calculus ; fractional-order minimal model of glucose-insulin ; diabetes ; unknown input observer ; glucose disturbance ; numerical simulations
Abstract :	[en] In this paper, we introduce fractional-order derivatives into a generalized minimal model of glucose-insulin. A fractional-order state observer is designed for estimating the structure of a blood glucose-insulin with glucose rate disturbance to show the complete dynamics of the glucose-insulin system where the fractional-order \alpha belonging to 0<\alpha<1. A nonlinear fractional-order unknown input observer strategy is used where the glucose rate disturbance is considered as an unknown input to the perspective dynamical system. The developed method provides the observer estimation algorithm for a glucose-insulin system with unknown time-varying glucose rate disturbance. The stability analysis of the fractional-order error system is completed and showed that the fractional-order observer design is as stable as their integer-order counterpart and guarantees the best convergence of the estimation error. Finally, numerical simulations are given to illustrate the effectiveness of the proposed method.
Permalink :	http://hdl.handle.net/10993/6119

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