防务技术2024,Issue(1) :417-428.DOI:10.1016/j.dt.2023.02.003

Optimal confrontation position selecting games model and its application to one-on-one air combat

Zekun Duan Genjiu Xu Xin Liu Jiayuan Ma Liying Wang
防务技术2024,Issue(1) :417-428.DOI:10.1016/j.dt.2023.02.003

Optimal confrontation position selecting games model and its application to one-on-one air combat

Zekun Duan 1Genjiu Xu 2Xin Liu 3Jiayuan Ma 1Liying Wang4
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作者信息

  • 1. School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an 710072,China
  • 2. School of Mathematics and Statistics,Northwestern Polytechnical University,Xi'an 710072,China;International Joint Research Center on Operations Research,Optimization and Artificial Intelligence,Xi'an 710129,China
  • 3. AVIC Xi'an Aeronautics Computing Technique Research Institute,Xi'an 710065,China
  • 4. Unmanned System Research Institute,Northwestern Polytechnical University,Xi'an 710072,China
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Abstract

In the air combat process,confrontation position is the critical factor to determine the confrontation situation,attack effect and escape probability of UAVs.Therefore,selecting the optimal confrontation position becomes the primary goal of maneuver decision-making.By taking the position as the UAV's maneuver strategy,this paper constructs the optimal confrontation position selecting games(OCPSGs)model.In the OCPSGs model,the payoff function of each UAV is defined by the difference between the comprehensive advantages of both sides,and the strategy space of each UAV at every step is defined by its accessible space determined by the maneuverability.Then we design the limit approximation of mixed strategy Nash equilibrium(LAMSNQ)algorithm,which provides a method to determine the optimal probability distribution of positions in the strategy space.In the simulation phase,we assume the motions on three directions are independent and the strategy space is a cuboid to simplify the model.Several simulations are performed to verify the feasibility,effectiveness and stability of the algorithm.

Key words

Unmanned aerial vehicles(UAVs)/Air combat/Continuous strategy space/Mixed strategy Nash equilibrium

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基金项目

National Key R&D Program of China(2021YFA1000402)

National Natural Science Foundation of China(72071159)

出版年

2024
防务技术
中国兵工学会

防务技术

CSTPCD
影响因子:0.358
ISSN:2214-9147
参考文献量33
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