title: Observer design for a class of nonlinear piecewise systems. Application to an epidemic model with treatment.
abstract: Susceptible Exposed Infectious and Recovered epidemic model endowed with a treatment function (SEIR-T model) is a well-known model used to reproduce the behavior of an epidemic, where the susceptible population and the exposed population need to be estimated to predict and control the propagation of a contagious disease. This paper focuses on the nonlinear observer design for a class of nonlinear piecewise systems including SEIR-T models. For this purpose, two changes of coordinates are provided to transform the considered systems into an extended nonlinear observer normal form, on which a high gain observer can be applied. Then, the proposed method is applied to a SEIR-T model. Finally, simulation results are given to show its efficiency.
authors.affiliation: National Engineering School of Gabes, Research Unit of Photovoltaic, Wind and Geothermal Systems, Tunisia. Electronic address: abdessmad.abdelhedi@gmail.com.
authors.forename: Abdessamad
authors.initials: A
authors.lastname: Abdelhedi
authors.affiliation: INSA Centre Val de Loire, Université d'Orléans, PRISME EA 4229, 18022 Bourges, France. Electronic address: driss.boutat@insa-cvl.fr.
authors.forename: Driss
authors.initials: D
authors.lastname: Boutat
authors.affiliation: National Engineering School of Gabes, Research Unit of Photovoltaic, Wind and Geothermal Systems, Tunisia. Electronic address: lassaad.sbita@enig.rnu.tn.
authors.forename: Lassaad
authors.initials: L
authors.lastname: Sbita
authors.affiliation: INSA Centre Val de Loire, Université d'Orléans, PRISME EA 4229, 18022 Bourges, France. Electronic address: ramdane.tami@insa-cvl.fr.
authors.forename: Ramdane
authors.initials: R
authors.lastname: Tami
authors.affiliation: INSA Centre Val de Loire, Université d'Orléans, PRISME EA 4229, 18022 Bourges, France. Electronic address: dayan.liu@insa-cvl.fr.
authors.forename: Da-Yan
authors.initials: DY
authors.lastname: Liu
mesh_terms: D003141:Communicable Diseases; D058872:Epidemics; D006801:Humans; D008962:Models, Theoretical; D017711:Nonlinear Dynamics
keywords: Epidemic model; Extended observer; Nonlinear system; Treatment function