基于弹目对抗博弈策略的目标毁伤概率模型  

Target Damage Probability Model Based on Missile Target Confrontation Game Strategy

作　　者：刘方 卢莉萍[1] 李翰山[1] 薛静云 刘云海 LIU Fang;LU Liping;LI Hanshan;XUE Jingyun;LIU Yunhai(School of Electronic Information Engineering,Xi'an University of Technology,Xi'an 710021,China;School of Mechatronic Engineering,Xi'an Technological University,Xi'an 710021,China)

机构地区：[1]西安工业大学电子信息工程学院,陕西西安710021 [2]西安工业大学机电工程学院,陕西西安710021

出　　处：《探测与控制学报》2024年第5期28-33,共6页Journal of Detection & Control

摘　　要：由于现有武器弹药制导方式与目标防御的智能性以及智能弹药与目标交汇存在的对抗性,很难建立科学的目标毁伤评估策略模型和毁伤数值计算方法,为了高效、准确地评估智能弹药武器对目标的毁伤效能,提出了弹目交汇下攻防博弈毁伤策略建模方法,通过将弹丸与目标作为二人对抗非合作博弈模型中的两个局中人,以弹目攻防双方的策略集与价值信息为依据,构建攻防双方博弈收益支付矩阵,并计算了弹目攻防双方博弈模型混合策略下纳什均衡解。基于目标毁伤准则,构建了目标毁伤概率计算模型。算例计算与仿真验证结果表明:博弈纳什均衡策略的目标毁伤评估方法具有一定有效性和准确性,能够为目标毁伤评估体系提供有效参考。Due to the intelligence of existing weapon and ammunition guidance methods and target defense,as well as the adversarial nature of the intersection between intelligent ammunition and targets,it is difficult to establish a scientific target damage assessment strategy model and damage numerical calculation method.In order to efficiently and accurately evaluate the damage effectiveness of intelligent ammunition weapons on targets,this paper proposed an attack defense game damage strategy modeling method under the intersection of missiles and targets.By treating the projectile and target as two players in a non-cooperative game model of two person confrontation,and based on the strategy set and value information of both the missile and target attack and defense sides,a payout matrix for the game benefits of both the attack and defense sides was constructed,and the Nash equilibrium solution of the mixed strategy game model for the missile and target attack and defense sides was calculated.Based on the target damage criterion,a calculation model for target damage probability was constructed.Finally,an example calculation and simulation verification were conducted,and the results showed that the target damage assessment method based on the game Nash equilibrium strategy had certain effectiveness and accuracy,which could provide effective reference for the target damage assessment system.

关 键 词：弹目对抗博弈 混合策略 纳什均衡 破片 毁伤概率 

分 类 号：TJ413[兵器科学与技术—火炮、自动武器与弹药工程]