Reference : An Unknown Input Fractional-Order Observer Design for Fractional-Order Glucose-Insuli...
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/6119
An Unknown Input Fractional-Order Observer Design for Fractional-Order Glucose-Insulin System
English
Ndoye, Ibrahima mailto [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 []
2012
IEEE EMBS Conference on Biomedical Engineering and Sciences, Malaysia, 17th - 19th December, 2012
596-600
Yes
International
IEEE EMBS Conference on Biomedical Engineering and Sciences
17th - 19th December, 2012
Langkawi
Malaysia
[en] Fractional calculus ; fractional-order minimal model of glucose-insulin ; diabetes ; unknown input observer ; glucose disturbance ; numerical simulations
[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.
http://hdl.handle.net/10993/6119

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