Observer Design For a Schistosomiasis Model

Mouhamadou Diaby 1, 2 Abderrahman Iggidr 1, *
* Corresponding author
1 MASAIE - Tools and models of nonlinear control theory for epidemiology and immunology
LMAM - Laboratoire de Mathématiques et Applications de Metz, INRIA Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : This paper deals with the state estimation for a schistosomiasis infection dynamical model described by a continuous non linear system when only the infected human population is measured. The central idea will be studied following two major angles. On the one hand, when all the parameters of the model are supposed to be well known, we will construct a simple observer and a high-gain Luenberger observer based on a canonical controller form and conceived for the nonlinear dynamics where it is implemented. On the other hand, when the nonlinear uncertain continuous-time system is in a bounded-error context, we will introduce a method for designing a guaranteed interval observer. Numerical simulations are included in order to test the behavior and the performance of the given observers.
Document type :
Reports
[Research Report] RR-8156, INRIA. 2013, pp.44


https://hal.inria.fr/hal-00758712
Contributor : Abderrahman Iggidr <>
Submitted on : Sunday, January 19, 2014 - 7:50:02 PM
Last modification on : Monday, January 20, 2014 - 1:08:40 PM

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Mouhamadou Diaby, Abderrahman Iggidr. Observer Design For a Schistosomiasis Model. [Research Report] RR-8156, INRIA. 2013, pp.44. <hal-00758712v2>

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