基于弹目交汇对抗的毁伤博弈策略建模分析  

Analysis of damage game strategy modeling based on missile target encounter

作　　者：张允航 吕珮毅 张曌 Zhang Yunhang;Lyu Peiyi;Zhang Zhao(Xi'an Technological University,Xi'an 710000,China)

机构地区：[1]西安工业大学,西安710000

出　　处：《电子测量技术》2020年第20期53-57,共5页Electronic Measurement Technology

摘　　要：为了科学评估弹丸与目标之间毁伤效能的相互影响作用,明确空间目标毁伤与对抗双方博弈策略的关联性,建立了弹丸破片与目标在空间交汇时刻的毁伤策略模型。分析弹目交汇时刻破片对目标的毁伤准则,结合双人非合作静态博弈方法,构建毁伤博弈策略空间模型,利用混合策略纳什均衡求解方法,获得该策略空间的纳什均衡点。算例结果表明,弹目双方在该纳什均衡解下选择的毁伤策略组成的最优策略局势带来的收益最大。该策略模型可以为弹目交汇对抗状态下的空战决策提供有效参考。In order to scientifically evaluate the interaction of the damage effectiveness between the projectile and the target,and to clarify the correlation between the damage of the space target and the game strategy of the opponents,the damage strategy model of the projectile fragment and the target at the time of space intersection is established.Analyze the damage criteria of fragments to the target at the time of the intersection of bullets and targets,combine the two-person non-cooperative static game method to construct the damage game strategy space model,and use the mixed strategy Nash equilibrium solution method to obtain the Nash equilibrium point of the strategy space.The result of the calculation example shows that the optimal strategy situation composed of the damage strategy selected by both the missile and the target under the Nash equilibrium solution brings the greatest benefit.This strategy model can provide an effective reference for air combat decision-making in the state of missile and target confrontation.

关 键 词：目标毁伤 策略 支付函数 纳什均衡 

分 类 号：TJ413.1[兵器科学与技术—火炮、自动武器与弹药工程]