Open AccessQuick Trajectory Optimization Method for Mars Airplane Based on Adaptive Gauss Pseudospectral Method
Author(s) -
Tao Chao,
Z. Y. Liu,
P. Zhang
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/751/1/012024
Subject(s) - gauss pseudospectral method , pseudospectral optimal control , trajectory optimization , trajectory , pseudo spectral method , sequential quadratic programming , mathematical optimization , computer science , mars exploration program , matlab , quadratic programming , control theory (sociology) , airplane , optimal control , mathematics , engineering , aerospace engineering , artificial intelligence , physics , control (management) , fourier transform , mathematical analysis , fourier analysis , astronomy , operating system
This paper gives a new method based on adaptive Gauss pseudospectral method for quick trajectory optimization problem of Mars airplane. The method converts the trajectory optimization problem to a non-linear programming problem, taking into account for the dynamic constrains, the boundary constrains, the path constrains and the control constrains during the cruise phase of the Mars airplane. And the sequential quadratic programming is adapted to solve the non-linear programming problem. In combination with the adaptive Gauss pseudospectral method and sequential quadratic programming in Matlab, numerical results of the optimal trajectory with 267 collocations could be obtained in 800s with an approximation accuracy of 10 −6 .