粒子群算法求解不等质量库仑卫星编队最优构型

摘要

The optimal static configuration of non-equal mass four-craft Coulomb formation satellites by particle swarm optimization (PSO)algorithm is studied.As masses,charges and positions of craft in the Cou-lomb formation satellites are all variables,the dynamic model of the configuration is no-linear.The optimal con-figuration for Coulomb formations can be solved by the PSO algorithm.The proposed method can be applied to solve the optimal configuration for multi-craft Coulomb formation.The results supply theory for the reconfigura-tion of multi-craft Coulomb formation.%通过采用粒子群算法（particle swarm optimization，PSO），求解出不等质量4星库仑卫星编队在平面和立体情况下的最优静态构型。当库仑卫星编队中各卫星的质量、带电量以及位置均为变量时，库仑卫星编队的静态构型模型具有很强的非线性特点。此时可以将非线性模型的求解问题转化为约束条件下的参数优化问题，通过 PSO 求得各种编队构型下的最优静态构型。同时，所提方法可以应用于求解 PSO 复杂多星编队情况下的最优静态构型，并为卫星队形重构问题等提供理论基础。