柔性卫星角加速度轨迹规划与振动抑制方法

针对柔性卫星在快速机动过程中会激发柔性附件振动的问题，提出一种通过设计角加速度轨迹来抑制振动的方法。在存在振动频率不确定性的情况下，所规划的角加速度轨迹能够将残余振动幅值抑制在指定的范围内。类比不同幂次余弦函数激发的残余振动表达式，设计一种含有多个待定系数的角加速度曲线，并根据残余振动幅值对待定系数进行约束，从而求解出所有的待定系数。这种设计方法改进了余弦函数抑制低频振动需要增加较大机动时间的问题。相比输入成型方法，所规划的轨迹光滑，增加的机动时间较短，对高频振动有着更好的抑制效果。

A Method of Angular Acceleration Trajectory Planning to Suppress Residual Vibrations of Flexible Satellite

For a flexible agile satellite, a method of angular acceleration trajectory planning is proposed to suppress the vibration after maneuvering. Under the condition of frequency uncertainty, the amplitude of residual vibration can be suppressed into a certain range by the designed angular acceleration trajectory. On the analogy of the expression of the residual vibration excited by the cosine function with different power, an angular acceleration trajectory with multiple unknown parameters is designed. These unknown parameters are solved by adding constraints on residual vibration, thus improving the shortcoming that the cosine function will increase more maneuvering time to suppress vibrations with low frequency. Compared with the input shaping method, the angular acceleration trajectory designed by this method has a smoother trajectory, shorter maneuvering time and better suppression ability to high frequency vibration.