Abstract The magnetic fluid deformable mirror (MFDM) is a new type of wavefront corrector which has advantages compared to conventional wavefront correctors, such as higher stroke and lower fabrication cost. In this paper, a Youla (Q) parameterized adaptive regulation approach is proposed for the MFDM to correct both random and deterministic dynamic aberrations based on the dynamic model of the MFDM. The parameter Q is tuned online by a recursive least squares (RLS) algorithm so that it converges to the desired value. An adaptive optical system with a prototype MFDM is setup to verify the effectiveness of the adaptive controller. The control performance is also compared with a H∞ controller to show the improvement of the wavefront residue RMS error. The result illustrates that the proposed adaptive control method can effectively control the mirror surface for the unknown dynamic aberration correction, especially to the deterministic disturbances in adaptive optics systems.

中文翻译：

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分散式 Youla 参数化自适应调节应用于磁流体变形镜表面形状控制

摘要 磁流体变形镜（MFDM）是一种新型波前校正器，与传统波前校正器相比，具有行程大、制造成本低等优点。在本文中，基于MFDM的动态模型，针对MFDM提出了一种Youla(Q)参数化自适应调节方法来校正随机和确定性动态像差。参数 Q 通过递归最小二乘 (RLS) 算法在线调整，使其收敛到所需值。设置带有原型 MFDM 的自适应光学系统来验证自适应控制器的有效性。还将控制性能与 H∞ 控制器进行比较，以显示波前残留 RMS 误差的改善。