Article (Scientific journals)
Static Output Feedback H-infinity Control for a Fractional-Order Glucose-Insulin System
N'Doye, Ibrahima; Voos, Holger; Darouach, Mohamed et al.
2015In International Journal of Control, Automation and Systems, 13 (4), p. 798-807
Peer reviewed
 

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Keywords :
Control; Fractional-Order Systems; Glucose-Insulin System
Abstract :
[en] This paper presents the H∞ static output feedback control of nonlinear fractional-order systems. Based on the extended bounded real lemma, the H∞ control is formulated and sufficient conditions are derived in terms of linear matrix inequalities (LMIs) formulation by using the fractional Lyapunov direct method where the fractional-order α belongs to 0 < α < 1. The control approach is finally applied to the regulation of the glucose level in diabetes type 1 treatment. Therefore, it is attempted 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 differential system affects the dynamics of the system in the presence of meal disturbance. Numerical simulations are carried out to illustrate our proposed results and show that the nonlinear fractional-order glucose-insulin systems are, at least, as stable as their integer-order counterpart in the presence of exogenous glucose infusion or meal disturbance.
Research center :
- Luxembourg Centre for Systems Biomedicine (LCSB): Medical Translational Research (J. Schneider Group)
Disciplines :
Electrical & electronics engineering
Author, co-author :
N'Doye, Ibrahima
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)
External co-authors :
yes
Language :
English
Title :
Static Output Feedback H-infinity Control for a Fractional-Order Glucose-Insulin System
Publication date :
August 2015
Journal title :
International Journal of Control, Automation and Systems
ISSN :
1598-6446
Publisher :
Springer
Volume :
13
Issue :
4
Pages :
798-807
Peer reviewed :
Peer reviewed
Available on ORBilu :
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