Fuzzy interval optimal control problem

This paper proposes the discrete-time fuzzy interval optimal control problem via single-level constrained fuzzy arithmetic. Fuzzy interval functions are established and allow us to evaluate the dynamics of the fuzzy interval difference equation. Moreover, fuzzy interval dynamic programming is develo...

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Detalhes bibliográficos
Autores: Campos, José Renato [UNESP], Assunção, Edvaldo [UNESP], Silva, Geraldo Nunes [UNESP], Lodwick, Weldon Alexander, Teixeira, Marcelo Carvalho Minhoto [UNESP], Maqui-Huamán, Gino Gustavo [UNESP]
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/190325
Acesso em linha:http://dx.doi.org/10.1016/j.fss.2019.05.003
http://hdl.handle.net/11449/190325
Access Level:acceso abierto
Palavra-chave:Fuzzy interval difference equation
Fuzzy interval dynamic programming
Fuzzy interval optimal control problem
Single-level constrained fuzzy arithmetic
Descrição
Resumo:This paper proposes the discrete-time fuzzy interval optimal control problem via single-level constrained fuzzy arithmetic. Fuzzy interval functions are established and allow us to evaluate the dynamics of the fuzzy interval difference equation. Moreover, fuzzy interval dynamic programming is developed to obtain the optimal fuzzy interval solution helping us to make a realistic decision. A numerical example illustrates the theory and provides the practical solution for an user.