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中文摘要：
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。
英文摘要：
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.
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