以ASTROD I (Astrodynamical Space Test of Relativity using Optical Devices I,单航天器天文激光动力学)为例介绍无拖曳卫星的结构及其工作原理.推导了其动力学方程,并在此基础上建立了卫星的动力学数值仿真器.将H2最优控制理论运用于以噪声压制为主要目的的无拖曳卫星控制系统的设计,通过传递函数法及数值法双重分析表明所设计的控制器能符合卫星的控制要求,同时表明在控制器设计过程中采用的线性化假设是适当的.%Taking the ASTROD I mission as an example, the structure and principle of drag-free satellite are presented. We derive the dynamics of drag-free satellite and its test mass, based on which a numerical simulator is built for them. Then, H2 optimal strategy is used to develop the controller for the satellite to reduce the resulted noise. The comparison between the transfer function analysis and the periodogram of numerical simulation indi-cates that linearization of the dynamics is appropriate and the simulator is correct. Also we can conclude that the controller can fulfill the requirement of the mission.
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