Solving the Parallel Parking Problem in Minimum Time Using a New Optimization Package: COPILOTS

This work aims to present (BasiC OPtImaL COnTrol Solver), a proposed package for solving Optimal Control Problems (OCPs) based on Direct Methods, easy to use and ideal for users with little or no experience in solving PCOs. In general, the proposed tool performs the discretization of controls via tr...

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Detalles Bibliográficos
Autores: Lobato, Fran Sérgio, Iasbeck, Arthur Henrique, Assis, Pedro Augusto Queiroz de
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Brasil
Institución:Universidade Federal do Rio Grande (FURG)
Repositorio:Vetor (Online)
Idioma:portugués
OAI Identifier:oai:periodicos.furg.br:article/12869
Acceso en línea:https://periodicos.furg.br/vetor/article/view/12869
Access Level:acceso abierto
Palabra clave:COPILOTS
Parallel Parking
Optimal Control Problem
Direct Collocation
Optimization
Estacionamento Paralelo
Problema de Controle Ótimo
Colocação Direta
Otimização
Descripción
Sumario:This work aims to present (BasiC OPtImaL COnTrol Solver), a proposed package for solving Optimal Control Problems (OCPs) based on Direct Methods, easy to use and ideal for users with little or no experience in solving PCOs. In general, the proposed tool performs the discretization of controls via trapezoidal colocation or Hermite-Simpson colocation, while cubic polynomials are used in the interpolation of the states. In effect, the original problem (algebraic-differential) is transformed into a purely algebraic problem, which is solved considering the SQP (Sequential Quadratic Programming). For validation purposes, was used to determine the minimum time path to be traveled by a vehicle when executing a parallel parking maneuver and a new algorithm for initializing states and controls was proposed in order to minimize the computational effort spent. The results demonstrate that the proposed package is configured as an alternative for the resolution of OCPs.