针对空间遥感器中大口径主镜的轻量化结构设计引入了基于Kriging近似模型的多目标遗传优化方法，以2 m口径SiC主镜为例对其轻量化结构参数进行了优化设计。采用拉丁超立方法对优化参数进行试验设计，建立了Kriging模型，并用多目标遗传算法迭代求得了最优解。优化后得到了质量为243 kg的2 m口径SiC主镜，其面形精度达到了257 nm PV，47 nm RMS，轻量化率为84%。 试验结果验证了此优化设计方法的可行性，为大口径主镜的轻量化结构参数优化设计提供了借鉴和参考。

As for the lightweight structure of a large-aperture primary mirror in remote sensors, this paper introduces an optimized multi-target Genetic Algorithm(GA) based on the Kriging approximate model to design all lightweight structure paramaters for a 2 m-aperture SiC primary mirror. The latin hypercube method is used to build the Kriging model and do the experimental design of optimized parameters, and then a optimal solution is obtained through the multi-target GA(NSGA II). After the optimization, the 2 m-aperture SiC primary mirror weights 243 kg, the surface accuracy reaches 257 nm PV， 47 nm RMS and the total lightweight rate is 84%. The experimental result proves the feasibility of this optimization method and it can be a reference for the future lightweight optimization design of the structural parameters of large-aperture primiary mirrors.