基于广义逆的欠驱动航天器姿态机动控制

Generalised Inversion Based Maneuver Attitude Control for Underactuated Spacecraft

针对欠驱动刚体航天器机动控制问题,应用广义逆方法设计了姿态机动控制器.首先将三轴稳定欠驱动航天器动力学和运动学系统分解为三个子系统,应用微分几何理论将欠驱动航天器子系统转化为逐点线性形式,并设计了欠驱动航天器子系统渐近稳定控制器,进一步引入了动态尺度广义逆和摄动零控制向量,实现了对另外两轴的控制.设计的广义逆姿态控制器保证了整个系统的渐近稳定性,达到了控制要求.数值仿真实验结果表明了所设计控制律的有效性.

The methodology based on the concept of generalized inversion is investigated for asymptotic stabilization of underactuated rigid body dynamics under two degrees of actuation. Firstly, the underactuated kinematics and dynamics system is partitioned into three subsystems, and the underactuated subsystem is transformed as the point-wise linear form by differential geometry theory and achieves global realisability. Furthermore, with the introduction of dynamically scaled generalized inversion and perturbed null-control vector, a continuous feedback control law is designed to achieve the attitude stabilization of the underactuated spacecraft. Finally, the analytical and simulation results show that the proposed control methodology is effective.