@article{CHEN2026, 
author = {Hongkun CHEN and Shujun TAN and Mengzhen CUI and Yuxi LIU},
title = {A symplectic pseudo-spectral successive convex optimization method for trajectory planning of ascent stage of exo-atmosphere launch vehicle},
year = {2026},
journal = {Journal of Beijing University of Aeronautics and Astronautics},
volume = {52},
number = {4},
pages = {1211-1220},
keywords = {launch vehicle, trajectory optimization, symplectic, pseudo-spectral method, successive convex optimization},
url = {https://www.sciopen.com/article/10.13700/j.bh.1001-5965.2024.0052},
doi = {10.13700/j.bh.1001-5965.2024.0052},
abstract = {In order to improve the computational efficiency and convergence of the algorithm, this paper derives the pseudo-spectral discrete Lagrange equation based on Lagrange mechanics, discrete mechanics and optimal control (DMOC) calculation method, combining with the advantages of high accuracy of the pseudo-spectral method. In conjunction with the successive convex optimization technique, a symplectic pseudo-spectral successive convex optimization-based trajectory optimization method is suggested. By significantly reducing the dimension of the discrete system’s state variables, the symplectic pseudo-spectral sequential convex optimization method can considerably increase convergence and computational efficiency while maintaining the structural features of the original continuous system. In contrast to the classical pseudo-spectral successive convex optimization method, the simulation results demonstrate that the symplectic pseudo-spectral successive convex optimization method has a good adoptability to the initial disturbance and can significantly increase computational efficiency without sacrificing accuracy.}
}