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.
Disciplines :
Computer science
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 :
An Unknown Input Fractional-Order Observer Design for Fractional-Order Glucose-Insulin System
Publication date :
2012
Event name :
IEEE EMBS Conference on Biomedical Engineering and Sciences
Event place :
Langkawi, Malaysia
Event date :
17th - 19th December, 2012
Audience :
International
Main work title :
IEEE EMBS Conference on Biomedical Engineering and Sciences, Malaysia, 17th - 19th December, 2012