系统工程与电子技术 ›› 2019, Vol. 41 ›› Issue (5): 1063-1070.doi: 10.3969/j.issn.1001-506X.2019.05.19

• 系统工程 • 上一篇    下一篇

基于直觉模糊博弈的无人机空战机动决策

李世豪, 丁勇, 高振龙   

  1. 南京航空航天大学自动化学院, 江苏 南京 211106
  • 出版日期:2019-04-30 发布日期:2019-04-29

UAV air combat maneuvering decision based on intuitionistic fuzzy game theory

LI Shihao, DING Yong, GAO Zhenlong   

  1. College of Automation Engineering,Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
  • Online:2019-04-30 Published:2019-04-29

摘要:

为解决不确定环境下无人机空战的机动决策问题,将博弈论和直觉模糊集结合,首先对无人机的机动可选方案进行直觉模糊多属性评估,得到机动博弈的直觉模糊支付矩阵,并提出满足直觉模糊全序关系下的纳什均衡条件,建立了求解不确定环境下纳什均衡的规划模型。同时,采用个体控制参数和遗传代数自适应的策略改进差分进化算法,并对模型进行求解。仿真验证模型和算法的合理性和有效性,为不确定环境下空战决策问题的求解提供了新思路。

关键词: 机动决策, 直觉模糊, 纳什均衡, 差分进化算法

Abstract:

To solve the problem of unmanned aerial vehicle (UAV) air combat maneuvering decision in uncertain environment, the game theory is combined with intuitionistic fuzzy set. First of all, the optional strategy of UAV is assessed by intuitionistic fuzzy multi-attribute to obtain the intuittionistic fuzzy payoff matrix. Then, Nash equilibrium condition under intuitionistic fuzzy total order relations is proposed, and a planning model for solving Nash equilibrium is established. Meanwhile, differential evolution algorithm, based on individual control parameters and genetic algebra adaptive strategy, is improved to get the optimal solution of the game model. Finally, the simulation validates the rationality and effectiveness of the model and the proposed algorithm, which is a new idea for solving the air combat decision-making problems in uncertain environment.

Key words: maneuvering decision, intuitionistic fuzzy, Nash equilibrium, differential evolution algorithm