›› 2011, Vol. 31 ›› Issue (5): 18-24.doi: 10.3780/j.issn.1000-758X.2011.05.003

• 研究探讨 • 上一篇    下一篇

利用高斯伪谱法求解小推力伴星最优释放轨迹

段传辉,董云峰   

  1. (北京航空航天大学宇航学院,北京 100191)
  • 收稿日期:2010-08-10 修回日期:2010-12-30 出版日期:2011-10-25 发布日期:2011-10-25
  • 作者简介:段传辉 1986年生,2008年毕业于北京航空航天大学飞行器设计专业,现为北京航空航天大学飞行器设计专业硕士研究生。研究方向为飞行器姿态与轨道动力学及控制、嵌入式仿真技术。 董云峰 1965年生,2005年获北京航空航天大学飞行器设计专业博士学位,教授,博士生导师。研究方向为飞行器动力学、星上姿态控制算法及分布式仿真技术。

Optimal Control of Spacecraft Fly-around Releasing Using Continuous Thrust Based on Gauss Pseudospectral Method

 DUAN  Chuan-Hui, DONG  Yun-Feng   

  1. (School of Astronautics, Beihang University, Beijing 100191)
  • Received:2010-08-10 Revised:2010-12-30 Online:2011-10-25 Published:2011-10-25

摘要: 针对近距离相对运动的轨道控制问题,提出用常值小推力完成最优转移的方法。基于C-W方程,推导了相对运动解析解的表达式,讨论了在无控条件下能够形成稳定绕飞构型的初始相对速度和相对位置的限制条件,以此限制条件作为终端条件,以伴星释放时近似为零的相对速度和相对位置为初始条件,建立了利用连续小推力实现的伴星释放最优控制问题的模型。选用了高斯伪谱法将最优控制问题离散化,转化成非线性规划问题并通过系列二次规划法完成求解。数值仿真算例表明,利用高斯伪谱法求解此问题可以有效地收敛到最优解。

关键词: 高斯伪谱法, 小推力, 相对运动, 轨道控制, 非线性规划, 编队飞行, 航天器

Abstract: An optimal orbit maneuver method based on continuous low thrust was presented to solve relative motion control. With C-W equation, analytic resolution of relative motion was derived. The relative velocity and relative position constrains for stable formation without control were discussed. The constrains were treated as final conditions, and the relative position and relative velocity of depart were treated as initial conditions. These conditions together with relative equation constructed an optimal orbit maneuver problem. The Gauss pseudospectral method was applied to translate the optimal problem into nonlinear programming which was solved by sequential quadratic programming. The numerical simulation indicates that the Gauss pseudospectral method can effectively converge to optimal solution.

Key words: Gauss pseudospectral method, Low thrust, Relative motion, Orbital control, Nonlinear programming, Formation flying, Spacecraft