基于计算博弈的脉冲作用下航天器追逃策略

Spacecraft Pursuit-Evasion Strategy Based on Computational Game withImpulse Maneuvers

本文研究了地球高阶引力模型中,基于脉冲作用的航天器轨道追逃问题。针对该问题,将航天器轨道追逃问题定义为两选手计算博弈,其中以博弈双方的距离和燃料消耗设计了性能指标函数,并以速度增量大小和方向构建容许控制集。此外,为了保证纳什均衡解的求解效率,引入了快速搜索(ARS)算法,并设计了一种数据剪枝方法用于优化搜索空间,最终实现了基于计算博弈的控制策略的快速求解。仿真结果表明:该方法能够有效解决脉冲作用下航天器的追逃难题,与传统方法相比,该方法能同时满足脱靶量精度和燃料消耗要求,具有一定的可行性和有效性。

The problem of spacecraft pursuit-evasion with impulse maneuvers in the high-order gravity model of the Earth is investigated.The spacecraft pursuit-evasion problem is formulated as a two-player game,where the performance index functions are designed based on the distance and fuel consumption between the players,and an admissible control set is constructed based on the magnitude and direction of the impulse maneuvers.Moreover,to ensure the efficiency of finding Nash equilibrium solutions,the action-reaction search(ARS)algorithm is introduced,and a data pruning method is designed to optimize the search space.Ultimately,fast solving is achieved with the control strategy based on the computational game.The simulation results demonstrate that the proposed approach can effectively solve the challenging problem of spacecraft pursuit-evasion with impulse maneuvers.Especially,compared with traditional methods,this method can simultaneously meet the requirements of miss distance accuracy and fuel consumption,and has certain feasibility and validity.