TY - GEN
T1 - Trajectory Optimization for Launch Vehicle Based on a Hybrid Approach
AU - Liu, Fei
AU - Chao, Tao
AU - Wang, Songyan
AU - Yang, Ming
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
PY - 2023
Y1 - 2023
N2 - A hybrid (analytic/numerical) solution approach is proposed in this paper for solving the ascent trajectory optimization problem through the atmospheric. Firstly, the optimal endo-atmospheric ascent problem is transformed into a Hamilton two-point value boundary problem (TVBP) according to the first order necessary conditions. Then a numerical method named Gauss Pseudo-spectral Method is applied to solve the TVBP. Last, it is supposed that the numerical method needs a relatively reasonable initial guessed value to be activated. So, vacuum analytical solution and homotopy technology are combined to make the atmospheric result converge. This paper also introduces how to find a set of initial costates in order to obtain the vacuum solution. Simulation results show that the hybrid solution approach can solve the ascent trajectory optimization problem accurately with a short computation time. The proposed algorithm can be applied to on-line trajectory planning.
AB - A hybrid (analytic/numerical) solution approach is proposed in this paper for solving the ascent trajectory optimization problem through the atmospheric. Firstly, the optimal endo-atmospheric ascent problem is transformed into a Hamilton two-point value boundary problem (TVBP) according to the first order necessary conditions. Then a numerical method named Gauss Pseudo-spectral Method is applied to solve the TVBP. Last, it is supposed that the numerical method needs a relatively reasonable initial guessed value to be activated. So, vacuum analytical solution and homotopy technology are combined to make the atmospheric result converge. This paper also introduces how to find a set of initial costates in order to obtain the vacuum solution. Simulation results show that the hybrid solution approach can solve the ascent trajectory optimization problem accurately with a short computation time. The proposed algorithm can be applied to on-line trajectory planning.
KW - Gauss pseudo-spectral method
KW - Solid launch vehicle
KW - Trajectory optimization
KW - Two-Point value boundary problem
UR - https://www.scopus.com/pages/publications/85151154423
U2 - 10.1007/978-981-19-6613-2_171
DO - 10.1007/978-981-19-6613-2_171
M3 - 会议稿件
AN - SCOPUS:85151154423
SN - 9789811966125
T3 - Lecture Notes in Electrical Engineering
SP - 1740
EP - 1749
BT - Advances in Guidance, Navigation and Control - Proceedings of 2022 International Conference on Guidance, Navigation and Control
A2 - Yan, Liang
A2 - Duan, Haibin
A2 - Deng, Yimin
A2 - Yan, Liang
PB - Springer Science and Business Media Deutschland GmbH
T2 - International Conference on Guidance, Navigation and Control, ICGNC 2022
Y2 - 5 August 2022 through 7 August 2022
ER -