北京航空航天大学学报 ›› 2015, Vol. 41 ›› Issue (5): 857-863.doi: 10.13700/j.bh.1001-5965.2014.0369

• 论文 • 上一篇    下一篇

带约束碰撞角的顺/逆轨制导律设计

闫梁1,2, 赵继广3, 李辕1   

  1. 1. 装备学院 研究生院, 北京 101416;
    2. 北京跟踪与通信技术研究所, 北京 100094;
    3. 装备学院 科研部, 北京 101416
  • 收稿日期:2014-06-19 修回日期:2014-07-20 出版日期:2015-05-20 发布日期:2015-06-02
  • 通讯作者: 赵继广(1964—),男,山东日照人,教授,zjgbeijing@126.com,主要研究方向为航天任务分析与设计. E-mail:zjgbeijing@126.com
  • 作者简介:闫梁(1987—),男,江苏徐州人,博士研究生,yanliangbj@163.com
  • 基金资助:

    国家“863”计划

Guidance law with angular constraints for head-pursuit or head-on engagement

YAN Liang1,2, ZHAO Jiguang3, LI Yuan1   

  1. 1. Department of Postgraduate, Equipment Academy, Beijing 101416, China;
    2. Beijing Institute of Tracking and Telecommunications Technology, Beijing 100094, China;
    3. Department of Scientific Research, Equipment Academy, Beijing 101416, China
  • Received:2014-06-19 Revised:2014-07-20 Online:2015-05-20 Published:2015-06-02

摘要:

针对逆轨、顺轨拦截模式,提出了带末端约束碰撞角的ACPN(Angle Control Proportional Navigation)、ACRPN(Angle Control Retro-Proportional Navigation)2种轨迹成型制导律.将线性的比例制导(PN)/负比例制导(RPN)作为标称指令,将碰撞角约束作为反馈指令,以相对加速度建立微分方程,得到了ACPN、ACRPN制导律.ACPN使用正比例系数,逆轨拦截目标;ACRPN使用负比例系数,顺轨拦截目标.与现有的研究结果进行仿真对比:ACPN具有耗费控制力少、末加速度小的优势;ACRPN的控制力、脱靶量、碰撞角误差较逆轨拦截优势明显.此外,分析了拦截高速目标的捕获区域.结果表明,ACPN比偏置比例导引的捕获区域大.当拦截弹的航迹角小于π/2+λi时(λi为初始视线角),宜采用ACPN(逆轨模式)拦截目标,拦截弹的航迹角大于等于π/2+λi时,宜采用ACRPN(顺轨模式)拦截目标.

关键词: 导弹, 目标跟踪, 制导律, 弹道成型制导律, 比例制导律, 负比例制导律, 碰撞角, 高速目标

Abstract:

For head-on or head-pursuit engagement, angle control proportional navigation (ACPN) and angle control retro-proportional navigation (ACRPN) closed-form trajectory shaping guidance law with impact angular constraints were proposed, which were based on proportional navigation (PN) or retro-proportional navigation (RPN) guidance law. ACPN with positive navigation ratio intercepted targets in head-on engagement, whose advantages were using less control efforts and final acceleration. ACRPN with negative navigation ratio intercepted targets in head-pursuit engagement. ACRPN's control efforts, miss distance and impact angle error were much less than that of guidance law in head-on engagement. Simulations demonstrate these claims mentioned above. Besides, the capture regions of ACPN and ACRPN for interception of high-speed targets are analyzed, which indicates that ACPN's capture region is larger than that of bias PN. Moreover, ACPN should be used to intercept targets in head-on engagement when the gimbal angle is less than sum of initial line-of-sight angle and 90°, and ACRPN should be used in head-pursuit engagement for the gimbal angle is equal to or greater than sum of initial line-of-sight angle and 90°.

Key words: missiles, target tracking, guidance law, trajectory shaping guidance, proportional navigation (PN), retro-proportional navigation (RPN), impact angle, high-speed targets

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