Observer design for a class of nonlinear piecewise systems. Application to an epidemic model with treatment.
Math Biosci
; 271: 128-35, 2016 Jan.
Article
em En
| MEDLINE
| ID: mdl-26606994
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.
Palavras-chave
Texto completo:
1
Coleções:
01-internacional
Contexto em Saúde:
2_ODS3
Base de dados:
MEDLINE
Assunto principal:
Doenças Transmissíveis
/
Dinâmica não Linear
/
Epidemias
/
Modelos Teóricos
Tipo de estudo:
Prognostic_studies
Limite:
Humans
Idioma:
En
Revista:
Math Biosci
Ano de publicação:
2016
Tipo de documento:
Article