Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription
Joint Authors
Ye, Jikun
Shao, Lei
Lei, Humin
Liu, Tao
Li, Deng
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lei, Humin& Liu, Tao& Li, Deng& Ye, Jikun& Shao, Lei. 2017. Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1189787
Modern Language Association (MLA)
Lei, Humin…[et al.]. Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription. Mathematical Problems in Engineering No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1189787
American Medical Association (AMA)
Lei, Humin& Liu, Tao& Li, Deng& Ye, Jikun& Shao, Lei. Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1189787
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189787