基于博弈论的弹目攻防决策方法研究  

Research and simulation of missile to target attack and defense strategy based on game theory

作　　者：薛静云[1,2] 刘方 张银环[1,2] XUE Jingyun;LIU Fang;ZHANG Yinhuan(Weinan Vocational and Technical College,Weinan 714026,China;Xi’an Technological University,Xi’an 710021,China)

机构地区：[1]渭南职业技术学院,陕西渭南714026 [2]西安工业大学,陕西西安710021

出　　处：《指挥控制与仿真》2024年第3期49-55,共7页Command Control & Simulation

基　　金：渭南市科学技术局重点研发项目(2022ZDYFJH-134);2023年度陕西省教育厅科学研究计划项目(23JK0448)。

摘　　要：针对空战环境中弹目攻防双方的对抗特性,提出了一种基于博弈论的弹目攻防决策方法。基于导弹目标运动数学关系得到状态方程,根据弹目攻防对抗机理建立“一对一导弹-目标”动态博弈模型,确定弹目双方策略集与收益矩阵,提出混合策略纳什均衡求解方法,并结合模型滚动预测方法获得该策略空间的纳什均衡点。算例仿真结果表明,基于混合策略下导弹制导律为该策略空间的纳什均衡点,且该方法可以减小导弹对目标的脱靶量,提高导弹的命中精度,为导弹攻防作战提供了依据。Aiming at the situation of random changes in tactics and uncertain information in the confrontation pattern between missile and target in the air combat environment.By analyzing the motion relationship of a single missile attack to determine the target,the principles of dynamic game and differential game are introduced into the relative motion relationship between missile and target.In the dynamic game process of attack and defense confrontation,the terminal guidance problem of a single missile attacking and intercepting the target is modeled as a"one to one missile target"game model.The missile guidance law based on game theory under mixed strategy and the global strategic situation of bilateral optimization of the opponent at a certain moment are proposed.The method of model rolling prediction combined with differential game theory is introduced to simulate the confrontation between missile and target in uncertain attack and defense environments.The simulation results show that using this method can reduce the miss distance of missile to target and improve the hit accuracy of missile.The model provides a basis for missile attack and defense operations.

关 键 词：攻防策略 微分博弈 模型预测 NASH均衡 制导律 

分 类 号：TJ76[兵器科学与技术—武器系统与运用工程] V448[航空宇航科学与技术—飞行器设计]