The orbital operation of spacecraft can excite the long-drawn and low-frequency vibration of the solar array, which is prone to affecting the task execution of the system. To address this issue, an envelope-based variable-gain control strategy is proposed to suppress vibration of the solar array using the reaction wheel (RW) actuator. The RW actuator is individually mounted on the solar array to provide reaction torque through the speed change of its rotor. The governing equation of motion of the solar array actuated by a RW actuator is deduced with the state space representation. The control relation between the measured bending moment and the rotational speed of the RW actuator with the constant-gain coefficient is firstly developed and demonstrated in numerical simulation. Changing the gain coefficient to be inversely proportional to the envelope function of vibration, a variable-gain control strategy is proposed to improve the damping effect of the RW actuator. Simulation results show that the vibration suppression performance of the RW actuator is improved compared to the constant-gain control. As the actual on-orbit natural frequency of the solar array is not always exactly known, the robustness of the control system is analyzed for the deviation between the estimated and the actual natural frequency values. The proposed variable-gain control is also experimentally verified using a simplified elastic plate model. Experimental results indicate that the vibration attenuation time is decreased to 29.1% and 50.22% compared to the uncontrolled and the constant-gain controlled states, respectively.

中文翻译：

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使用反作用轮驱动器的太阳能电池阵振动抑制的基于包络的可变增益控制策略

航天器在轨运行会激发太阳能电池板的长拉低频振动，容易影响系统的任务执行。为了解决这个问题，提出了一种基于包络的可变增益控制策略，以使用反作用轮（RW）致动器来抑制太阳能电池阵列的振动。RW 执行器单独安装在太阳能电池板上，通过其转子的速度变化提供反作用扭矩。利用状态空间表示推导了由 RW 驱动器驱动的太阳能电池阵列的运动控制方程。在数值模拟中首次开发并证明了测量的弯矩与具有恒定增益系数的 RW 致动器的转速之间的控制关系。改变增益系数与振动的包络函数成反比，提出了一种可变增益控制策略，以提高RW执行器的阻尼效果。仿真结果表明，与恒定增益控制相比，RW 执行器的振动抑制性​​能有所提高。由于太阳能电池阵列的实际在轨固有频率并不总是确切知道，因此分析控制系统的鲁棒性以找出估计的固有频率值与实际固有频率值之间的偏差。所提出的可变增益控制也使用简化的弹性板模型进行了实验验证。实验结果表明，与未控制和恒定增益控制状态相比，振动衰减时间分别减少了29.1%和50.22%。