基于改进MOPSO算法的区域侦察弹性星座重构方法

针对区域侦察弹性星座重构问题，提出了基于改进多目标粒子群优化算法(multi objective particle swarm optimization，MOPSO)的区域侦察弹性星座重构方法。该方法采用一箭多星发射和在轨卫星相位机动相结合的方式对受损星座重构。首先选取了星座覆盖、重构成本、重构时间和星座弹性四方面的指标；其次对一箭多星发射过程和卫星相位机动过程进行了分析，对失效轨道面内剩余正常卫星采取均匀相位的策略。以恢复原有星座性能为目的，考虑最大重访时间、重构成本、重构时间及弹性，建立了重构时间和重构成本最优的重构优化模型。最后对MOPSO算法进行了改进，提出了基于学习机制的种群更新策略，通过变量转化将离散变量转化为连续变量，解决了重构优化模型中混合变量优化问题。针对某一受损星座进行仿真，重构时间最优的重构方案为发射6颗新卫星结合在轨卫星均匀相位；重构成本最优的重构方案为发射4颗新卫星结合在轨卫星均匀相位。案例表明提出的重构方法有效，可为侦察星座的建设提供参考。

Reconstruction method of regional reconnaissance elastic constellationbased on improved MOPSO#br#

A reconstruction method based on an improved multi-objective particle swarm optimization algorithm was proposed. This method reconstructed damaged constellations by combining multi-satellite launch and on-orbit satellite phase maneuver. Firstly, reconstruction indexes were selected, including coverage, reconstruction cost, reconstruction time and elasticity. Secondly, the multi-satellite launching process and on-orbit satellite phase maneuvering were analyzed, and a uniform phase strategy was adopted for remaining normal satellites in damaged constellations. In order to restore original constellation performance, considering the maximum revisit time, elasticity, reconstruction cost and time, optimization models for reconstruction time and reconstruction cost were established. Finally, a MOPSO algorithm was improved, and a population update strategy based on learning mechanism was proposed. Discrete variables were transformed into continuous variables through variable transformation, which solved mixed variable optimization problems in reconstruction optimization models. Simulation for a damaged constellation shows that the time-optimal reconstruction scheme is launching 6 new satellites combined with the uniform phase of on-orbit satellites, and the cost-optimal reconstruction scheme is launching 4 new satellites combined with the uniform phase of on-orbit satellites. The case shows that the proposed reconstruction method is effective and can provide a reference for construction of reconnaissance constellations.