系统工程与电子技术 ›› 2019, Vol. 41 ›› Issue (2): 322-335.doi: 10.3969/j.issn.1001-506X.2019.02.14

• 系统工程 • 上一篇    下一篇

三维空间“追逃防”三方微分对策方法

赵琳, 周俊峰, 刘源, 郝勇   

  1. 哈尔滨工程大学自动化学院, 黑龙江 哈尔滨 150001
  • 出版日期:2019-01-25 发布日期:2019-01-25

Three body differential game approach of pursuit evasion defense in three dimensional space

ZHAO Lin, ZHOU Junfeng, LIU Yuan, HAO Yong   

  1. School of Automation, Harbin Engineering University, Harbin 150001, China
  • Online:2019-01-25 Published:2019-01-25

摘要: 针对三维空间中的多智能体参与的追逃博弈问题展开研究,提出了一种基于追踪器、逃逸器以及防御器3个智能体参与的追逃博弈模型。在该模型下,通过引入零控脱靶量的方法降低了系统的维数和计算复杂度;采用模糊综合评估的方法对追踪器的目标函数进行设计,结合微分对策理论,得出追踪器的最优控制策略。仿真对比结果表明:在追踪器控制量占优势的情况下,提出的最优控制策略可以使追踪器绕开防御器并且捕获逃逸器;在追踪器控制量不占优势的情况下,提出的最优控制策略可以延长追踪器被防御器拦截的时间。

Abstract: The pursuitevasion game of multipleagent in threedimensional space is studied. A pursuitevasion game model based on three agents including the pursuer, the evader and the defender is proposed. In this model, the dimension and the calculation complexity of the system is reduced by employing zero effort miss method. The objective function of the pursuer is designed by using fuzzy comprehensive evaluation. Combined with differential game theory, the optimal control strategy of pursuer is obtained. The comparative simulation results show that the proposed optimal control strategies can let the pursuer avoid the defender and intercept the evader when the controlled quantity of pursuer is more predominant. When the controlled quantity of pursuer is less predominant, the proposed optimal control strategies can increase the interception time of the pursuer.