一种带大挠性附件卫星的低阶鲁棒控制方法

Low-Order Robust Control for Satellite with Large Flexible Appendages

针对带有大挠性附件卫星存在参数不确定性和外部扰动的问题,提出一种基于线性矩阵不等式(LMI)的鲁棒H∞反馈控制方法.在卫星动力学模型中考虑了太阳帆板对日定向转动及天线展开过程中参数的摄动问题,进一步设计适用于线性参数时变(LPV)系统的多输入多输出(MIMO)反馈控制器,证明闭环系统在参数大范围摄动下的鲁棒稳定性.相比经典控制方法,当结构参数变化较大且三轴姿态为动态时变时,在满足期望性能指标的同时,可以有效地抑制挠性附件的振动且具有较强的抗扰能力.最后通过仿真验证了所提方法的有效性.

To deal with the flexible parameters uncertainties and external torque disturbance problems of satellites with large flexible appendages, a robust H-infinity feedback multi-input, muhi-output （MIMO） controller is proposed based on linear matrix inequalities （LMI）. Parameters perturbations that caused by solar paddles rotating towards the sun and antenna＇ s expanding process are considered in the coupled dy- namics of satellite. The proposed robust controller guarantees robust stability against the aforementioned higher vibration modes and modal parameters uncertainties for a linear parameter varying （LPV） MIMO system. Moreover, it is simple and suitable for engineering practice. The simulation results show that the given controller provides rapid stabilization for three-axis attitude control, and is more robust than the typ- ical PID controller in vibration and disturbance suppression.