宇航学报

宇航学报 ›› 2013, Vol. 34 ›› Issue (4): 496-502.doi: 10.3873/j.issn.1000-1328.2013.04.007

• 制导、导航与控制 • 上一篇    下一篇

基于T-H方程的卫星轨迹模型参考输出跟踪控制方法

付艳明，李伟，段广仁   

  1. 哈尔滨工业大学控制理论与制导技术研究中心，哈尔滨 150001
  • 收稿日期:2011-07-25 修回日期:2013-01-15 出版日期:2013-04-15 发布日期:2013-04-25
  • 基金资助:

    国家自然科学基金（61021002，61104059）

Satellite Trajectory Model Reference Output Tracking Control Based on T-H Equation

FU Yan ming,  LI Wei,  DUAN Guang ren   

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
  • Received:2011-07-25 Revised:2013-01-15 Online:2013-04-15 Published:2013-04-25

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摘要：

当目标卫星沿椭圆轨道运行时，描述追踪星与目标星相对运动的线性化方程为T-H方程。将描述航天器相对运动的T-H方程变换为周期系统的状态空间形式，并给出卫星轨迹跟踪控制问题的数学描述。基于周期系统的参量Lyapunov方法和模型参考跟踪控制理论，提出了卫星轨迹跟踪控制器的设计方法。利用该方法设计了带有收敛速率保障的反馈镇定控制器和具有自由参数的前馈控制器。对追踪星相对目标星悬停任务进行了数值仿真，仿真结果表明提出的控制方案是有效的。

关键词: 卫星轨迹跟踪, 周期系统, 模型参考, 悬停

Abstract:

The linearized T-H equation is suitable for describing the relative motion between the chaser satellite and the target satellite when the target satellite moves along the elliptical orbit. The T-H equation for illustrating the relative motion is transformed to the state space form of periodic systems in this paper and the mathematic description of the trajectory tracking control problem is put forward. Then a general approach is proposed for the satellite trajectory tracking problem by using the parametric Lyapunov method based on periodic systems and the model reference theory. A feedback stabilizing controller with convergence rate guarantee and a feed forward tracking controller with free parameters are built by using this method. The designed controllers are successfully applied to the satellite control system ,and simulation results are provided under the conditional hovering over command signal, which demonstrate the validity of the proposed method.

Key words: Satellite trajectory tracking, Periodic systems, Model reference, Hovering over

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