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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | N'Doye, I. Voos, H. Darouach, M. Schneider, J.G. Knauf, N. |
| Copyright Year | 2012 |
| Description | Author affiliation: University of Luxembourg, Luxembourg Centre for Systems Biomedicine, 7, Avenue des hauts Fournaux L-4362 Belval, Luxembourg (Schneider, J.G.) || Centre Hospitalier du Nord, 120, Avenue Salentiny L-9080 Ettelbruck, Luxembourg (Knauf, N.) || University of Luxembourg, Faculté des Sciences, de la Technologie et de la Communication, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg (N'Doye, I.; Voos, H.) || Centre de Recherche en Automatique de Nancy (CRAN - UMR 7039) Université de Lorraine - CNRS, IUT de Longwy, 186 rue de Lorraine 54400 Cosnes et Romain, France (Darouach, M.) |
| Abstract | 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 α belonging to 0 < α < 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. |
| Starting Page | 595 |
| Ending Page | 600 |
| File Size | 708388 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781467316644 |
| e-ISBN | 9781467316668 |
| DOI | 10.1109/IECBES.2012.6498048 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-12-17 |
| Publisher Place | Malaysia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Numerical simulations Fractional-order minimal model of glucose-insulin Unknown input observer Diabetes Fractional calculus Glucose disturbance |
| Content Type | Text |
| Resource Type | Article |
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