Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription

Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription

An adaptive mesh iteration method based on Hermite-Pseudospectral is described for trajectory optimization. The method uses the Legendre-Gauss-Lobatto points as interpolation points; then the state equations are approximated by Hermite interpolating polynomials. The method allows for changes in both...

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Main Authors: Humin Lei, Tao Liu, Deng Li, Jikun Ye, Lei Shao
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/2184658
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spelling doaj-deade3f6b5444b2e95bcfb8a279fd7742020-11-24T23:47:13ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/21846582184658Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct TranscriptionHumin Lei0Tao Liu1Deng Li2Jikun Ye3Lei Shao4Air and Missile Defense College, Air Force Engineering University, Xi’an 710051, ChinaAir and Missile Defense College, Air Force Engineering University, Xi’an 710051, ChinaCollege of Education, Shaanxi Normal University, Xi’an 710062, ChinaAir and Missile Defense College, Air Force Engineering University, Xi’an 710051, ChinaAir and Missile Defense College, Air Force Engineering University, Xi’an 710051, ChinaAn adaptive mesh iteration method based on Hermite-Pseudospectral is described for trajectory optimization. The method uses the Legendre-Gauss-Lobatto points as interpolation points; then the state equations are approximated by Hermite interpolating polynomials. The method allows for changes in both number of mesh points and the number of mesh intervals and produces significantly smaller mesh sizes with a higher accuracy tolerance solution. The derived relative error estimate is then used to trade the number of mesh points with the number of mesh intervals. The adaptive mesh iteration method is applied successfully to the examples of trajectory optimization of Maneuverable Reentry Research Vehicle, and the simulation experiment results show that the adaptive mesh iteration method has many advantages.http://dx.doi.org/10.1155/2017/2184658
collection DOAJ
language English
format Article
sources DOAJ
author Humin Lei
Tao Liu
Deng Li
Jikun Ye
Lei Shao
spellingShingle Humin Lei
Tao Liu
Deng Li
Jikun Ye
Lei Shao
Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
Mathematical Problems in Engineering
author_facet Humin Lei
Tao Liu
Deng Li
Jikun Ye
Lei Shao
author_sort Humin Lei
title Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
title_short Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
title_full Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
title_fullStr Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
title_full_unstemmed Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
title_sort adaptive mesh iteration method for trajectory optimization based on hermite-pseudospectral direct transcription
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description An adaptive mesh iteration method based on Hermite-Pseudospectral is described for trajectory optimization. The method uses the Legendre-Gauss-Lobatto points as interpolation points; then the state equations are approximated by Hermite interpolating polynomials. The method allows for changes in both number of mesh points and the number of mesh intervals and produces significantly smaller mesh sizes with a higher accuracy tolerance solution. The derived relative error estimate is then used to trade the number of mesh points with the number of mesh intervals. The adaptive mesh iteration method is applied successfully to the examples of trajectory optimization of Maneuverable Reentry Research Vehicle, and the simulation experiment results show that the adaptive mesh iteration method has many advantages.
url http://dx.doi.org/10.1155/2017/2184658
work_keys_str_mv AT huminlei adaptivemeshiterationmethodfortrajectoryoptimizationbasedonhermitepseudospectraldirecttranscription
AT taoliu adaptivemeshiterationmethodfortrajectoryoptimizationbasedonhermitepseudospectraldirecttranscription
AT dengli adaptivemeshiterationmethodfortrajectoryoptimizationbasedonhermitepseudospectraldirecttranscription
AT jikunye adaptivemeshiterationmethodfortrajectoryoptimizationbasedonhermitepseudospectraldirecttranscription
AT leishao adaptivemeshiterationmethodfortrajectoryoptimizationbasedonhermitepseudospectraldirecttranscription
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