空间交会调相综合变轨优化

Optimization of Rendezvous Phasing Strategy with Hybrid Maneuvers

基于近圆轨道偏差线性方程研究了摄动交会调相综合变轨问题,建立了综合变轨两层非线性优化模型:上层问题以变轨点纬度幅角为优化变量,下层问题以脉冲向量为优化变量。为了快速获得上层问题全局优化性较好的摄动解,采用了并行模拟退火算法与序列二次规划算法相结合的混合策略;下层问题使用基于可行域最速下降的线性迭代方法求解。采用一个两天近地轨道调相问题测试了本文的综合变轨求解策略,并将综合变轨与特殊点变轨、综合变轨混合优化与遗传算法优化进行了比较。结果表明,建立的两层优化模型是有效的,本文的求解策略有着良好的全局收敛性和较高的收敛效率,综合变轨相对于特殊点变轨可以显著地节省燃料。

Based on linear deviation equations on approximate circular orbits, a perturbed rendezvous phasing strategy with hybrid maneuvers is studied. A bi-level nonlinear optimization model is formulated for optimizing this phasing strategy. The higher-level problem is proposed to optimize the argument of latitude at the maneuver location. For rapidly obtaining a better global optimal perturbed solution, a hybrid approach combining parallel simulated annealing algorithm and sequential quadratic programming algorithm is employed. The lower-level problem is to optimize impulse vector, and is solved using linear iteration method, which is based on feasible steepest descent algorithm. The proposed approach is evaluated in a practical twoday rendezvous phasing mission. The comparisons between hybrid maneuvers and special-point maneuvers and also between hybrid maneuvers solved by hybrid approach and by genetic algorithm are made. It is shown that the bi-level nonlinear optimization model is effective, and the hybrid approach has good global convergence ability and high-level convergence efficiency. Compared with special-point maneuvers, hybrid maneuvers can save fuel cost markedly.