圆轨道星座位置保持控制的仿真与研究

Research on Simulation and Stationkeeping Strategy of the Circular Constellation

星座构形可由卫星相对地球的位置和卫星相对卫星的位置联合描述。由于星座中卫星所受摄动 ,星座构形会在运行中发生改变 ,需要加以控制。针对同一圆轨道内的两颗卫星 ,推导了描述星座位置运动的数学模型 ,通过仿真验证了模型的精度 ;进而利用二次型最优控制理论给出了基于相对位置的控制规律 ,提出了星座相对位置保持、绝对位置可移动的星座控制方法 ;论证了相对位置保持控制所需燃料要比绝对位置保持控制所需燃料少 ,仿真结果验证了方法的有效性。

The architecture of a constellation can be described jointly by the position of the satellite relative to the earth and the position of the satellite relative to other satellites in the constellation.Due to effect of the disturbance force,the architecture of the constellation will decay gradually.So it needs to be controlled in order to keep the architecture.The mathematical model for the motion of two satellites in the same circular orbit is deduced.And the precision of the model has been tested through the simulation.The control law based on the linear quadratic(LQ)control theory is presented in order to control the relative position of the two satellites.A kind of relative position control strategy cha- racterized with the adjustable nominal position is developed.The validity of the strategy has been explained through the dissertation and supported by the simulation result.