西安电子科技大学学报

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非合作博弈的多机协同压制IADS攻防策略分析

李秋妮;杨任农;李浩亮;张欢;冯超   

  1. (空军工程大学 航空航天工程学院,陕西 西安 710038)
  • 收稿日期:2016-10-16 出版日期:2017-12-20 发布日期:2018-01-18
  • 作者简介:李秋妮(1985-),女,空军工程大学博士研究生, E-mail:lqnjk1@126.com
  • 基金资助:

    国家自然科学基金资助项目(50875132, 60573172)

Research on the non-cooperative game strategy of suppressing IADS for multiple fighters cooperation

LI Qiuni;YANG Rennong;LI Haoliang;ZHANG Huan;FENG Chao   

  1. (College of Aeronautics and Astronautics Engineering, Air Force Engineering Univ., Xi'an 710038, China)
  • Received:2016-10-16 Online:2017-12-20 Published:2018-01-18

摘要:

针对多机协同压制综合一体化防空系统攻防博弈问题,提出了一种分布式虚拟学习博弈策略.通过将作战实体抽象成具有多属性的智能体网络节点,分析了集多类别多功能特性作战资源于一体,集探测感知、干扰和打击摧毁于一体的复杂作战过程.综合考虑威胁评估、经济战略价值评估、任务支付对系统整体影响等因素,建立了博弈对局下攻防双方的收益模型,并通过该模型求解体系对抗中多参与人多策略博弈的混合纳什均衡.所设计的方案解决了作战演化过程中节点数量、位置动态变化的问题,并且能从庞大的收益空间中选择合适策略进行博弈.仿真结果显示,该方案具有机群自主实现战术实时动态规划的自优化、自组织优势,能有效解决多机协同综合一体化防空系统攻防博弈问题.

关键词: 协同压制, 非合作博弈, 纳什均衡, 虚拟学习

Abstract:

A distributed virtual learning game strategy is proposed for the problem on the offense and defensive game of the Suppression of Integrated Air Defense System (IADS) by multiple fighters  cooperation. By modeling the combat resources as multi-agents networks nodes, a complicated operational process integrating kind of different combat resources and accompanying detecting, jamming and attacking is researched. Considering the evaluations of threats, the evaluations of the economic strategy value and the influence of the task payment on the whole system, a profit model is developed for both offense and defensive sides under the confrontation game, and the Mixed Strategy Nash Equilibrium (MSNE) with n-person and n-strategy in the system countermeasures is solved by using this model. In our designed approach, the problem of dynamic changing of the numbers and positions for the nodes in the operational process is overcome, and the appropriate strategy can be chosen from the large profit space. Simulation results demonstrate the advantages of the designed approach in the respects of self-optimizing and self-organizing on tactical re-planning in the real time, and it is also shown that the designed approach can achieve the maximum of expected payoffs and effectively solve the problem of suppressing IADS for multiple fighters cooperation.

Key words: cooperative suppression, non-cooperative game, Nash equilibrium, virtual learning

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