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卫星星座设计是一个复杂耗时的仿真优化设计问题。本文首先介绍了一种利用Hermite插值算法计算卫星星座性能指标的快速算法,用来减少计算复杂度和时间,并且基于快速算法建立了星座构型优化模型。其次引进了序优化理论,用来缩减搜索空间。针对星座优化问题,详细阐述了序优化所涉及到的精确和粗糙模型、有序性能曲线、选择规则和选择集合。通过对卫星导航星座和天基目标监视星座系统的仿真表明序优化理论对处理卫星星座优化设计问题是有效的。
Satellite constellation design is a complex and time-consuming simulation optimization design problem. In this paper, we first introduce a fast algorithm for calculating satellite constellation performance using Hermite interpolation algorithm to reduce computational complexity and time, and establish a constellation configuration optimization model based on fast algorithm. Second, the introduction of order optimization theory, used to reduce the search space. For the constellation optimization problem, it expatiates on the precise and rough model, the ordered performance curve, the selection rules and the selection sets involved in ordinal optimization. The simulation of satellite navigation constellation and space-based target monitoring constellation shows that the theory of ordinal optimization is effective in the optimization of satellite constellation design.