一种基于遗传算法的编队队形重构优化方法

An Optimization Approach for Satellites Formation Reconfiguration Based on Genetic Algorithm

针对卫星编队队形重构问题,提出了一种满足星间安全距离约束的燃料优化队形机动协同控制算法。首先,构造了考虑星间安全距离约束的修正燃料消耗性能指标函数,基于极大值原理,建立了队形重构最优控制两点边值问题的数学模型。然后,以重构时间和卫星在目标构形上的初始状态为优化变量,结合队形重构终端时刻的状态约束,基于遗传算法搜索性能指标函数最小值的方法,数值求解该两点边值问题。最后,通过作数学仿真,验证了队形重构最优控制数学模型的正确性,以及应用遗传算法求解该两点边值问题的有效性。

Aiming at the formation reconfiguration problem,a fuel-optimal coordinate control approach for formation maneuver while satisfying the constraint of inter-satellite safe distance was presented.First,took the constraint of inter-satellite safe distance into consideration,a modified fuel consumption performance index was put forward.Based on the Pontryagin maximum Principle,a formation reconfiguration mathematical model of two point boundary value problem is established.Then,took the duration of formation rec...