Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for Automobiles

In this paper, path construction and path following methods are proposed. The path construction method addresses the problem to generate a path satisfying boundary conditions which are assigned points and tangent directions at the endpoints of the path. This problem is so-called G1 Hermite interpola...

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Main Authors: Shunsaku Arita, Pongsathorn Raksincharoensak
Format: Article
Language:English
Published: Taylor & Francis Group 2020-03-01
Series:SICE Journal of Control, Measurement, and System Integration
Subjects:
Online Access:http://dx.doi.org/10.9746/jcmsi.13.23
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author Shunsaku Arita
Pongsathorn Raksincharoensak
author_facet Shunsaku Arita
Pongsathorn Raksincharoensak
author_sort Shunsaku Arita
collection DOAJ
description In this paper, path construction and path following methods are proposed. The path construction method addresses the problem to generate a path satisfying boundary conditions which are assigned points and tangent directions at the endpoints of the path. This problem is so-called G1 Hermite interpolation, and it has been widely researched, for example, in the area of computer-aided design. The proposed path construction method utilizes one of them, namely the biarc interpolation, as an initial guess for obtaining an optimal path. Trials in some initial conditions show that the proposed method can generate a smooth path with a low computational cost. Meanwhile, the path following method assumes that a linear bicycle model follows a reference path by using the set-point regulator. The proposed method smooths the curvature profile of the reference path to be suited for the path following. Simulation results show that the proposed path construction and following methods achieve smoother tracking than the case without optimal path and smoothing.
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spelling doaj.art-4256a79d19fa47e98df3991b49d76efd2023-10-12T13:43:55ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702020-03-01132232910.9746/jcmsi.13.2312103280Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for AutomobilesShunsaku Arita0Pongsathorn Raksincharoensak1Department of Aerospace Engineering, National Defense AcademyDepartment of Mechanical Systems Engineering, Tokyo University of Agriculture and TechnologyIn this paper, path construction and path following methods are proposed. The path construction method addresses the problem to generate a path satisfying boundary conditions which are assigned points and tangent directions at the endpoints of the path. This problem is so-called G1 Hermite interpolation, and it has been widely researched, for example, in the area of computer-aided design. The proposed path construction method utilizes one of them, namely the biarc interpolation, as an initial guess for obtaining an optimal path. Trials in some initial conditions show that the proposed method can generate a smooth path with a low computational cost. Meanwhile, the path following method assumes that a linear bicycle model follows a reference path by using the set-point regulator. The proposed method smooths the curvature profile of the reference path to be suited for the path following. Simulation results show that the proposed path construction and following methods achieve smoother tracking than the case without optimal path and smoothing.http://dx.doi.org/10.9746/jcmsi.13.23path planningpath followingautomobile controlcomputer aided design
spellingShingle Shunsaku Arita
Pongsathorn Raksincharoensak
Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for Automobiles
SICE Journal of Control, Measurement, and System Integration
path planning
path following
automobile control
computer aided design
title Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for Automobiles
title_full Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for Automobiles
title_fullStr Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for Automobiles
title_full_unstemmed Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for Automobiles
title_short Optimal Path Construction Incorporating a Biarc Interpolation and Smooth Path Following for Automobiles
title_sort optimal path construction incorporating a biarc interpolation and smooth path following for automobiles
topic path planning
path following
automobile control
computer aided design
url http://dx.doi.org/10.9746/jcmsi.13.23
work_keys_str_mv AT shunsakuarita optimalpathconstructionincorporatingabiarcinterpolationandsmoothpathfollowingforautomobiles
AT pongsathornraksincharoensak optimalpathconstructionincorporatingabiarcinterpolationandsmoothpathfollowingforautomobiles