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Reports (Research Report) Year : 2013

Observer design for a schistosomiasis model

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.
Un observateur 'grand gain' non-linéaire est mis en œuvre pour évaluer l'évolution de dynamique d'une infection de la Bilharziose décrite par un modèle continu non linéaire [1]. On propose un modèle réduit du modèle [1] de la Bilharziose pour construire l'observateur. Des simulations numériques ont été faites pour tester le comportement et la performance de l'observateur proposé.
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Dates and versions

hal-00758712 , version 1 (29-11-2012)
hal-00758712 , version 2 (19-01-2014)

Identifiers

  • HAL Id : hal-00758712 , version 2

Cite

Mouhamadou Diaby, Abderrahman Iggidr. Observer design for a schistosomiasis model. [Research Report] RR-8156, INRIA. 2013, pp.44. ⟨hal-00758712v2⟩
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