空间望远镜分块式主镜共相位调整的优化算法研究

Research on cophasing optimized algorithms for space-based telescope segmented primary mirror

以应用主动控制系统进行分块镜共相位调整的大口径空间望远镜为研究对象,分析了分块式主镜致动器位移与相位误差之间的对应关系以及共相位调整的目标。研究采用一种求解非线性约束问题的序列二次规划法优化求解主镜致动器的位移控制指令,校正分块式主镜相位误差。数学仿真结果表明,应用序列二次规划法对分块式主镜进行共相位调整优化,控制精度得到了很大地提高。

The large segmented space telescope cophased by active control system is studied. The corresponding relationship between actuator displacement and phase error is analysed. The objective of cophasing is determined. The sequential quadratic programming（SQP） method for nonlinear constraint problem is applied for the segmented primary mirror cophasing control. Simulation results show the precision of cophasing using SOP method is significantly improved.