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一种基于凸优化技术的航天器轨迹快速优化框架

金帅辰

机械制造与自动化2025,Vol.54Issue(3):132-138,151,8.
机械制造与自动化2025,Vol.54Issue(3):132-138,151,8.DOI:10.19344/j.cnki.issn1671-5276.2025.03.026

一种基于凸优化技术的航天器轨迹快速优化框架

Rapid Optimization Framework for Spacecraft Trajectories Based on Convex Optimization Technology

金帅辰1

作者信息

  • 1. 南京航空航天大学航天学院,江苏南京 211106
  • 折叠

摘要

Abstract

As rendezvous and approach perations frequently appear in various space missions related to the development of aerospace technology,improving the rapid orbit insertion and mission expansion of in-orbit spacecraft is of great significance for saving manpower and material resources.A rapid optimization framework for spacecraft trajectory based on convex optimization techniques was proposed by Birkhoff pseudospectral method.A dynamic model of two-body relative motion was established,optimal control theory was introduced,and convex optimization techniques were used to handle nonlinear constraints.The theoretical frameworks of Birkhoff pseudospectral method based on first-order differentiation(FBPSM)and second-order differentiation(SBPSM)were developed.The results indicate that FBPSM and SBPSM not only inherit the solving advantages of traditional pseudospectral methods,but also increase computational efficiency by about three times in terms of complex dynamical systems.This study provides the theoretical reference and technical support for real-time reconstruction and rapid optimization of spacecraft trajectories.

关键词

在轨航天器/交会与接近操作/轨迹优化/Birkhoff谱方法/凸优化技术/最优控制理论

Key words

in-orbit spacecraft/rendezvous and approach operations/trajectory optimization/Birkhoff pseudospectral method/convex optimization technique/optimal control theory

分类

航空航天

引用本文复制引用

金帅辰..一种基于凸优化技术的航天器轨迹快速优化框架[J].机械制造与自动化,2025,54(3):132-138,151,8.

机械制造与自动化

1671-5276

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