超视距空战中的多无人机武器目标分配方法  

Weapon Target Assignment Method for Multiple UAVs in Beyond-Visual-Range Air Combat

作　　者：马滢滢 王国强[1,2] 胡笑旋[1,2] 罗贺[1,2] MA Ying-ying;WANG Guo-qiang;HU Xiao-xuan;LUO He(School of Management,Hefei University of Technology,Hefei 230009,China;Key Laboratory of Process Optimization and Intelligent Decision-Making,Ministry of Education,Hefei 230009,China)

机构地区：[1]合肥工业大学管理学院,安徽合肥230009 [2]过程优化与智能决策教育部重点实验室,安徽合肥230009

出　　处：《中国管理科学》2022年第3期248-257,共10页Chinese Journal of Management Science

基　　金：国家自然科学基金资助项目(71971075,71871079,71671059);安徽省自然科学基金资助项目(1808085MG213)。

摘　　要：武器目标分配问题是多无人机超视距空战中的关键决策问题之一。本文考虑超视距空战的强对抗、不确定等特点给武器目标分配问题带来的新挑战,基于纳什均衡博弈思想,将超视距空战中的多无人机武器目标分配问题建模为双矩阵博弈模型,其中,基于证据理论设计多级信息融合方法计算多个无人机对抗多个目标时的总攻击有效性。在此基础上,基于纳什均衡中策略被选择的概率与遗憾值之间的关系以及超视距空战需求,将双矩阵博弈模型转换为混合整数规划模型进行求解,并通过典型案例、数值实验、仿真实验对本文方法的计算过程和有效性进行分析。结果表明,本文方法能够有效给出超视距空战中的多无人机武器目标分配方案。Weapon target assignment is one of the key decision-making problems in beyond-visual-range(BVR) air combat of multiple UAVs. It refers to that in BVR air combat, multiple UAVs determine the optimal weapon target assignment scheme according to the battlefield situation, the UAV’s capabilities, threat of opponents and other factors, so as to occupy an advantage in the process of BVR confrontation. Considering the new challenge of weapon target assignment problem caused by the strong confrontation and uncertainty of BVR air combat, based on the idea of Nash equilibrium game, the weapon target assignment problem of multiple UAVs in BVR air combat is modeled as a bimatrix matrix game model by constructing the strategic action space and utility function of the game, in which the validity of attacking effect of multiple UAVs against multiple targets is calculated based on the evidence theory. Then according to the relationship between the probability and regret value of the strategy in Nash equilibrium and the demand of BVR air combat, the solution of bimatrix game model is transformed into solving mixed integer programming optimization model. The effectiveness of the proposed method is analyzed through three aspects of experiments. Firstly, based on the typical case of weapon target assignment of multiple UAVs in BV air combat, the calculation process of the proposed method is analyzed;secondly, the effectiveness of the proposed solution is analyzed through numerical experiments;finally, simulation experiments are carried out to verify the effectiveness of the proposed method for multi UAV BVR air combat. The experimental results show that the proposed method can give an effective weapon target assignment scheme for multiple UAVs in BVR air combat in a short time, improve the probability of winning and reduce the ratio of the number of destroyed UAVs to the number of destroyed targets.

关 键 词：武器目标分配 超视距空战 无人机 双矩阵博弈 混合整数规划 

分 类 号：O22[理学—运筹学与控制论] E91[理学—数学]