一种新的卫星编队构型重构路径规划方法

ANovel and Better Path Programming Algorithm for Reconfiguration of Satellite Formation Configuration

文章提出了一种编队整体系统建模的构型重构路径优化方法。首先根据编队卫星相对运动动力学模型,应用Kronecker直积推导出编队整体系统的模型预测控制方程。再以该方程设计优化目标函数并推导出动力学约束,以编队重构的燃料消耗总量最小与各星燃料消耗平衡为目标,采用非线性优化技术优化各星推力脉冲序列及初始构型上始发点与期望构型上目标点相位。最后以5颗星编队不同重构时间与推力脉冲数的构型重构为例进行仿真。仿真实验结果表明,当快速构型重构机动时采用文中提出的整体规划方法比集中规划方法燃料消耗减小约17%,燃料消耗的平衡性方差指标减小约72.5%,新方法具有较为明显优势。

Aim.The introduction of the full paper points out what we believe to be the shortcomings of Ref.4,authored by Michael Tillerson et al.Hence we propose a novel and better path programming algorithm.Section 1 explains the establishment of the dynamic model of satellite formation;in particular,we point out that eq.（2） expresses mathematically what is meant by Kronecker product.Section 2 discusses the optimization of satellite formation reconfiguration.Subsection 2.1,which has eqs.（4） through（8）,explains the predictive control equation of the dynamic model.Subsection 2.2,which has eqs.（9） through（12）,discusses the objective function that represents the total fuel consumption.Subsection 2.3,which has eqs.（13） through（22）,discusses the constraint which is eq.（21）;in particular,we point out that in subsection 2.3 we employ the nonlinear optimization technique.Section 3 gives the computer simulation results and their analysis.In section 3,we compare our novel and better algorithm with the method in Ref.4.The comparison,presented in Figs.1 and 2,shows preliminarily that our novel algorithm is better in that：（1） when the satellite formation is quickly maneuvered to the target configuration,the total fuel consumption of our algorithm is 17% less than that of Ref.4;（2） the fuel consumptions of five satellites are nearly the same for our algorithm.