拦截高速目标的比例与反比例导引捕获区分析  

Capture Region Analysis of Proportional Navigation and Retro-Proportional Navigation Guidance for Hypersonic Target Interception

作　　者：周觐[1] 雷虎民[1] 侯峰 赵炜[1] ZHOU Jin;LEI Hu-min;HOU Feng;ZHAO Wei(Air and Missile Defense College,Air Force Engineering University,Xi＇an 710043;PLA Unit 31001,Beijing 101400,China)

机构地区：[1]空军工程大学防空反导学院,西安710051 [2]中国人民解放军31001部队,北京101400

出　　处：《宇航学报》2018年第9期1002-1011,共10页Journal of Astronautics

基　　金：国家自然科学基金(61573374,61503408)

摘　　要：针对拦截高速目标的作战特点,分析了比例导引(PN)与反比例导引(RPN)的捕获区。首先,通过分析拦截弹与目标的相对运动关系,推导得到了顺轨和逆轨的零控拦截条件,此条件由目标和拦截弹的速度前置角以及二者速度比确定;其次,以拦截弹和目标速度前置角为坐标系,推导得到了PN以及RPN捕获区以及各自导航比设置范围。PN的捕获区由逆轨零控拦截条件以及与其相切且斜率为1/(N-1)的两条直线构成,RPN的捕获区由顺轨零控拦截条件以及与其相切且斜率为1/(-N-1)的两条直线构成;然后,利用函数对称性将PN与RPN捕获区转换到同一坐标区间,得到了相同条件下RPN捕获区要大于PN捕获区的结论;最后,开展了四种情形下的仿真,验证了本文捕获区分析的合理性及有效性。Aiming at the characteristics of the hypersonic target interceptions,the capture regions of the proportional navigation（ PN） and the retro-proportional navigation（ RPN） are analyzed. Firstly,the zeroing effort interception conditions of the head-pursuit and head-on scenarios are derived by analyzing the relative motion between the interceptor and the target,which are determined by the interceptor velocity leading angle,the target velocity leading angle,and their velocity ratio. Secondly,with the interceptor velocity leading angle and the target velocity leading angle serving as the coordinates,the capture regions and the navigation ratio ranges of PN and RPN are derived. The capture region of PN is composed of the head-on zeroing effort interception condition and two tangential lines with the slope of 1/（ N-1）,and the capture region of RPN is composed of the head-pursuit zeroing effort interception condition and two tangential lines with the slope of 1/（-N-1）. Thirdly,by transforming the capture regions of PN and RPN to the same coordinate ranges based on the function＇s symmetry,the conclusion is made that the capture region of RPN is bigger than that of PN under the same condition. Finally,four different simulation scenarios are carried out whose results testify the rationality and effectiveness of the capture region analysis.

关 键 词：捕获区 零控拦截 反比例导引 比例导引 顺轨/逆轨 高速目标 

分 类 号：TJ391[兵器科学与技术—火炮、自动武器与弹药工程]