Observer design for a schistosomiasis model.
This paper deals with the state estimation for a schistosomiasis infection dynamical model described by a continuous nonlinear system when only the infected human population is measured. The central idea is studied following two major angles. On the one hand, when all the parameters of the model are supposed to be well known, we 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 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.
Inria and Université de Lorraine and CNRS, MASAIE, Institut Élie Cartan de Lorraine (IECL, UMR CNRS 7502), ISGMP Bat.A, Ile de Saulcy, Metz Cedex 01 57045, France; Laboratoire d'Analyse Numérique et Informatique (LANI), Université Gaston Berger de Saint-Louis, UFR SAT BP 234 Saint-Louis, Sénégal. Electronic address: diabloss84@yahoo.fr.
Mouhamadou
M
Diaby
Inria and Université de Lorraine and CNRS, MASAIE, Institut Élie Cartan de Lorraine (IECL, UMR CNRS 7502), ISGMP Bat.A, Ile de Saulcy, Metz Cedex 01 57045, France. Electronic address: abderrahman.iggidr@inria.fr.
Abderrahman
A
Iggidr
Laboratoire d'Analyse Numérique et Informatique (LANI), Université Gaston Berger de Saint-Louis, UFR SAT BP 234 Saint-Louis, Sénégal. Electronic address: syndioum@yahoo.fr.
Mamadou
M
Sy
D000818:Animals; D003198:Computer Simulation; D004199:Disease Vectors; D006790:Host-Parasite Interactions; D006801:Humans; D055641:Mathematical Concepts; D008954:Models, Biological; D017711:Nonlinear Dynamics; D012552:Schistosomiasis / Q000209:etiology* / Q000517:prevention & control / Q000635:transmission; D012908:Snails / Q000469:parasitology
High-gain; Interval observer; Observer; Schistosomiasis model; State estimation