针对两输入两输出的多体卫星控制系统,采用工程中的天线驱动组件为天线转动提供驱动力矩,在天线小角度机动条件下,对此线性模型采用多变量频域设计法中的序列回差设计技术,设计卫星本体俯仰姿态和天线转动的多输入多输出(MIMO)控制器,利用Nyquist稳定判据证明系统的稳定性.在此基础上分别利用回差阵奇异值法和逆回差阵奇异值法计算MIMO控制系统的稳定裕度,将两种方法所得结果相结合以减小稳定裕度计算的保守性,最后通过数值仿真验证了控制算法和控制系统稳定裕度结果的有效性. For the multi-body satellite control system with two inputs and two outputs, the antenna driving component in the project is used to provide the driving torque for the rotation of the antenna. Under the condition of low-angle maneuvering of the antenna, the linear model of the multi-body satellite control system adopts the sequence hysteresis Design techniques, MIMO controller designed for satellite body pitch attitude and antenna rotation, the stability of the system is proved by using the Nyquist stability criterion.On the basis of this, we use the singular value difference method and the inverse hysteresis difference The singular value method is used to calculate the stability margin of the MIMO control system. The results obtained from the two methods are combined to reduce the conservativeness of the stability margin calculation. Finally, the numerical results verify the effectiveness of the control algorithm and the stability margin of the control system.