基于单个双框架变速控制力矩陀螺的卫星姿态反步控制

Backstepping Attitude Control of Satellite based on One Double Gimbal Variable Speed Control Moment Gyroscope

研究了利用单个双框架变速控制力矩陀螺(DGVSCMG)实现卫星三轴姿态控制问题;文章建立了基于单个DGVSCMG的卫星姿态动力学模型,在此基础上采用反步法设计控制律,分为姿态环的设计和角速度环的设计,并通过Lyapunov稳定性定理验证了控制算法的稳定性;最后对该控制律进行的数值仿真结果表明,21s后卫星姿态控制精度优于10-2°,姿态稳定度达到10-3°/s量级,验证了文章方法的有效性。

In this paper, the three--axis attitude control of the satellite with one double gimbal variable speed control moment gyroscope （DGVSCMG） is studied. Firstly, the satellite attitude dynamics model with one DGVSCMG is built. Based on the model, the backstepping control law is designed, which includes attitude loop, and the angular velocity loop. Meanwhile, the stability of this control method is verified by the Lyapunov stability theorem. Finally, the simulation results are given to show that, the satellite attitude control precision is higher than 10-2°, and the stabilization achieves the level of 10-3°/s after 21s, which verifies the effectiveness of the proposed method.