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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

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【作者】 梁丽; 王佳楠; 王春彦; 邓方;

【Author】 LIANG Li;WANG Jianan;WANG Chunyan;DENG Fang;College of Information Science and Technology, Beijing University of Chemical Technology;School of Aerospace Engineering, Beijing Institute of Technology;School of Automation, Beijing Institute of Technology;

【通讯作者】 王佳楠;

【机构】 北京化工大学信息科学与技术学院; 北京理工大学宇航学院; 北京理工大学自动化学院;

【摘要】 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.

【Abstract】 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.

【基金】 国家自然科学基金(62103045,61933002);中国博士后科学基金(2021M700014)资助~~
  • 【文献出处】 指挥与控制学报 ,Journal of Command and Control , 编辑部邮箱 ,2022年04期
  • 【分类号】E927
  • 【下载频次】31
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