航空学报 > 2010, Vol. 31 Issue (8): 1600-1607

大气层内拦截弹微分对策制导律对策空间分布研究

李运迁, 齐乃明, 孙小雷, 刘延芳   

  1. 哈尔滨工业大学 航天学院
  • 收稿日期:2009-07-28 修回日期:2009-09-16 出版日期:2010-08-25 发布日期:2010-08-25
  • 通讯作者: 齐乃明

Game Space Decomposition Study of Differential Game Guidance Law forEndoatmospheric Interceptor Missiles

Li Yunqian, Qi Naiming, Sun Xiaolei, Liu Yanfang   

  1. School of Astronautics, Harbin Institute of Technology
  • Received:2009-07-28 Revised:2009-09-16 Online:2010-08-25 Published:2010-08-25
  • Contact: Qi Naiming

摘要:
摘〓要〖HTSS〗: 为提高机动性和操作性,大气层内拦截弹多采用气动力/喷流反作用力(RCS)复合控制系统。在RCS工作时间有限的条件下,建立线性化对策模型,并利用微分对策理论研究了复合控制系统对3种可能对策空间的分布影响。RCS的使用时机不同,其对微分对策空间分布的影响也不同。基于对策空间的分布确定了RCS的使用时机,并给出了适合实际应用的制导策略。仿真研究表明本文提出的应用时机与制导策略能够实现气动力与RCS之间的有机结合,使制导指令达到最优分配,显著地提高了制导精度。

关键词: 导弹, 拦截弹, 复合控制, 微分对策, 对策空间, 制导

Abstract: Endoatmospheric interceptor missiles are often steered by dual control systems of aerodynamic-fins and reaction-jets. The maximum operation time of the reaction-jet control system (RCS) is limited by such missile configuration factors as weight and size. A linear game model is formulated in this article with these characteristics. Then, the differential game theory is employed to study the influence of the dual control system on three potential game space structures. Since game space decomposition varies when the RCS is initiated at different times, the initiating timing of the RCS is determined based on game space structures. Finally, a guidance strategy, which can determine the optimal distribution between aerodynamic lift and divert thrust, is provided. The effectiveness of the guidance law is demonstrated by a realistic scenario where zero miss distance cannot be achieved by aerodynamic control alone. It is shown that there is a significant improvement in the homing accuracy.

Key words: missiles, interceptor missile, dual control, differential game, game space, guidance

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