机动能力受限的目标-攻击-防御定性微分对策

Target-attacking-defending Qualitative Differential Game with Limited Maneuverability

针对导弹攻击具有防御导弹保护和机动躲避能力的目标的三体博弈问题,构建了攻击弹、防御弹和机动能力受限目标的三人微分对策模型,提出了显示策略法求解了三人定性微分对策,给出了导弹突防成功的必要条件和最优突防策略.研究结果表明,目标机动能力受限时攻击弹具有更宽的突防成功条件,与实际情况相符,证明了方法的有效性.

Aiming at a three-player pursuit-evasion game problem of missile attacking the target with defensive missile protection and maneuvering evasion ability,the three-player differential game model of attack missile,defensive missile and manueverability ability limited target is constructed.The display strategy method is proposed to solve the three-player qualitative differential game.The necessary conditions for successful penetration and the optimal penetration strategy of missile are given.The research results show that when the target manueverability is limited,the attack missile has wider penetration conditions.This is consistent with the actual situation and the effectiveness of the method is proved.