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H-infinity Static Output Feedback Control for a Fractional-Order Glucose-Insulin System
Ndoye, Ibrahima; Voos, Holger; Darouach, Mohamed et al.
2013In 6th Workshop on Fractional Differentiation and Its Applications. Part of 2013 IFAC Joint Conference SSSC, TDS and FDA (2013), Grenoble, February 4-6, 2013
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Keywords :
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.
Disciplines :
Chemical engineering
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
Language :
English
Title :
H-infinity Static Output Feedback Control for a Fractional-Order Glucose-Insulin System
Publication date :
2013
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
Audience :
International
Main work 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 :
Peer reviewed
Available on ORBilu :
since 17 September 2013

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