基于天线驱动组件的多体卫星MIMO控制及稳定裕度应用研究

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.

On MIMO Control and Stability Margin of Multi-Body Satellite with Gimbal Driver Assembly

For a class of multi-body satellites systems with gimbal driver assembly （GDA） and small angle maneuvering antennas, the sequential return difference design method based on the two-input and two-output linear system model is proposed. And the multi-input multl-output（MIMO） controllers which include the pitch attitude control and antenna pointing control are obtained. Moreover, stability analysis of the corresponding closed-loop system is presented by the Nyquist stability criterion. Then the stability margin of the MIMO control system is obtained by calculating the minimum singular value of the system return difference matrix and the minimum singular value of the inverse return difference matrix. The two results are combined to reduce the conservativeness of the stability margin. Finally, numerical simulation results are presented to verify that the proposed controller and the stability margin method are effective.