基于微分对策的临近空间飞行器机动突防策略

王雨琪; 宁国栋; 王晓峰; 郝明瑞; 王江华

doi:10.7527/S1000-6893.2020.24276

航空学报 >

2020 , Vol. 41 >Issue S2: 724276 - 724276

DOI: https://doi.org/10.7527/S1000-6893.2020.24276

基于微分对策的临近空间飞行器机动突防策略

王雨琪 ,
宁国栋 ,
王晓峰 ,
郝明瑞 ,
王江华

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北京机电工程研究所, 北京 100074

收稿日期: 2020-04-25

修回日期: 2020-05-18

网络出版日期: 2020-06-12

基金资助

军委科技委前沿创新项目

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Maneuver penetration strategy of near space vehicle based on differential game

WANG Yuqi ,
NING Guodong ,
WANG Xiaofeng ,
HAO Mingrui ,
WANG Jianghua

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Beijing Electro-Mechanical Engineering Institute, Beijing 100074, China

Received date: 2020-04-25

Revised date: 2020-05-18

Online published: 2020-06-12

Supported by

Frontier Innovation Project of the Science and Technology Commission of Central Military Commission of People's Republic of China

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摘要

针对飞行器机动突防问题，基于微分对策理论对飞行器在攻防对抗中制导阶段的机动突防策略进行设计与分析。首先将攻防对抗问题转化为二人零和博弈问题，并设计了二次型目标函数；其次，考虑到飞行器计算能力不足的问题，采取了适当假设以得到博弈问题的解析解，便于实际应用；最后对该机动突防策略进行了仿真验证，结果表明在攻防对抗中制导阶段，飞行器采用微分对策制导律，相较于正弦机动不仅减少自身54.3%的能量消耗，而且增加了拦截器58.6%的能量消耗，将显著增加飞行器末制导段对抗突防能力。

关键词： 临近空间; 微分对策; 中制导; 攻防对抗; 机动策略

本文引用格式

王雨琪 , 宁国栋 , 王晓峰 , 郝明瑞 , 王江华 . 基于微分对策的临近空间飞行器机动突防策略[J]. 航空学报, 2020 , 41(S2) : 724276 -724276 . DOI: 10.7527/S1000-6893.2020.24276

Abstract

Aiming at the maneuvering penetration problem of near space vehicles, we design and analyze the maneuvering penetration strategy of the vehicles during midcourse guidance based on the differential game theory. First, the attack-defense confrontation problem is transformed into a two-person zero-sum game problem, and a quadratic objective function is designed. Secondly, considering the problem of insufficient computing power of the vehicle, we take reasonable assumptions to obtain the analytical solution of the game problem for convenient practical applications. Finally, the maneuvering penetration strategy based on the differential game theory is simulated and verified. The results show that compared with the sinusoidal maneuver during the midcourse guidance, this strategy not only reduces 54.3% of energy consumption by the vehicle, but increases 58.6% of the energy consumption by the interceptor, therefore significantly raising the penetration ability of the vehicle during terminal guidance.

Key words： near space; differential game; midcourse guidance; attack-defense confrontation; maneuver penetration strategies

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