Uma formulação variacional do tipo mínimos quadrados para equações diferenciais ordinárias aplicável ao tratamento numérico de problemas de controle ótimo

• Ano de defesa: 1996
• Autor(a) principal: Telma Cristina Pimenta de Freitas
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Minas Gerais; UFMG
• Palavras-chave em Português: Engenharia Mecânica; Engenharia mecânica
• Link de acesso: http://hdl.handle.net/1843/BUOS-96ZH3S

The equivalence between an initial value problem described by ordinary differential equations and the extremum of a least square type functional is showed to happen under certain regularity condition hypothesis. This allows the formulation of a numerical procedure for optimal control problems with control discontinuites. This procedure is based on the substitution of differential constraints of the optimal control problems by a accessory variational problem. The construction of the least square functional can be interpreted as an exactly penalization technique for the differential constraints creating a natural means for the Ritz Method application on the differential equations that are present on the optimal control problems. The procedure is illustrated by mean of numerically solved examples.