The development of telescopes with large apertures is driven by the increasing demand for higher imaging resolution and coverage. Large membrane diffraction space telescopes are particularly attractive due to their lightweight nature, ease of folding and unfolding, and high-precision imaging capabilities. However, their substantial size and flexibility make them susceptible to long-duration, low-frequency vibrations during attitude maneuvers, which degrade attitude and imaging accuracy and risk instrument damage. Consequently, an urgent need exists for a high-precision integrated control scheme. In this paper, the integrated control of vibration and attitude in a large space telescope is studied using cable actuators and control moment gyroscopes (CMGs). Since cables can only withstand limited tension, the unilateral and constrained characteristics of the control input are taken into account during the control design process. Firstly, a rigid-flexible coupling dynamic model of the space telescope is established using the velocity variation principle with hybrid coordinates. Additionally, a two-body astrodynamic model is developed to assess the impact of gravity gradient torque. Next, combining the computational torque method and H∞ control theory, an integrated control scheme is proposed, which achieves vibration and attitude control during maneuvers. Then, this paper optimizes the cable actuator positions via the discrete particle swarm optimization (PSO) algorithm and plans various attitude maneuver paths. Finally, numerical simulations are adopted to demonstrate the effectiveness of the control scheme. The results show that this integrated control scheme swiftly suppresses structural vibrations during attitude maneuvers, enabling high-precision attitude control of the space telescope.

中文翻译：

---

大型膜衍射空间望远镜振动姿态一体化控制


对更高成像分辨率和覆盖范围不断增长的需求推动了大口径望远镜的发展。大型膜衍射空间望远镜因其重量轻、易于折叠和展开以及高精度成像能力而特别有吸引力。然而，它们的巨大尺寸和灵活性使得它们在姿态机动过程中容易受到长时间、低频振动的影响，从而降低姿态和成像精度，并有仪器损坏的风险。因此，迫切需要一种高精度的集成控制方案。本文研究了使用拉索执行器和控制力矩陀螺仪（CMG）对大型空间望远镜进行振动和姿态的集成控制。由于电缆只能承受有限的拉力，因此在控制设计过程中要考虑控制输入的单向和受限特性。首先，利用混合坐标速度变分原理建立了空间望远镜的刚柔耦合动力学模型。此外，还开发了一个二体天体动力学模型来评估重力梯度扭矩的影响。接下来，结合计算扭矩法和H∞控制理论，提出了一种综合控制方案，实现了机动过程中的振动和姿态控制。然后，本文通过离散粒子群优化（PSO）算法优化拉索执行器位置，并规划各种姿态机动路径。最后，通过数值模拟验证了控制方案的有效性。 结果表明，这种集成控制方案可以快速抑制姿态机动过程中的结构振动，从而实现空间望远镜的高精度姿态控制。