Adaptive Mesh Iteration Method for Trajectory Optimization Based on Hermite-Pseudospectral Direct Transcription. (18th June 2017)

• Record Type: Journal Article
• Authors: Lei, Humin; Liu, Tao; Li, Deng; Ye, Jikun; Shao, Lei
• Other Names: Turetsky Vladimir Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2017(2017)
• Publication Date: 2017-06-18
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2017/2184658
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.