在微弧度级的大型望远镜中，抑制振动已经成为一项非常关键的技术。在微弧度级的大型望远镜中，抑制振动已经成为一项非常关键的技术。经典的反馈控制方法由于图像传感器本身具有采样频率低、积分时间长的特点使得控制回路的带宽受限的原因不能很好地抑制回路中的扰动，尤其是存在范围广、能量较大的宽带扰动。本文基于优化的力设计理念提出一种扰动抑制的 Youla控制器优化设计方法来提高系统的宽带扰动抑制能力。在可以获取到宽带扰动频率的情况下，该方法通过设计合适的 Q滤波器去适应宽带扰动，从而达到抑制扰动的目的。仿真及实验结果表明，相对于传统的比例-积分控制方法，该方法极大地提高了系统的宽带扰动抑制能力，增强了系统的闭环性能。此外，由于此方法模型依赖程度低、易于实现，故可以推广到许多工程实际中。

Structural vibrations in Tip-Tilt modes usually affect the closed-loop performance of astronomically optical telescopes. In this paper, the state of art control methods—proportional integral (PI) control, linear quadratic Gaussian (LQG) control, disturbance feed forward (DFF) control, and disturbance observer control (DOBC) of Tip-Tilt mirror to reject vibrations are first reviewed, and then compared systematically and comprehensively. Some mathematical transformations allow PI, LQG, DFF, and DOBC to be described in a uniform framework of sensitivity function that expresses their advantages and disadvantages. In essence, feed forward control based-inverse model is the main idea of current techniques, which is dependent on accuracies of models in terms of Tip-Tilt mirror and vibrations. DOBC can relax dependences on accuracy model, and therefore this survey concentrates on concise tutorials of this method with clear descriptions of their features in the control area of disturbance rejections. Its applications in various conditions are reviewed with emphasis on the effectiveness. Finally, the open problems, challenges and research prospects of DOBC of Tip-Tilt mirror are discussed.