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真比例导引律的解析解研究
引用本文:卫星,王艳东.真比例导引律的解析解研究[J].火力与指挥控制,2009,34(8).
作者姓名:卫星  王艳东
作者单位:北京航空航天大学自动化科学与电气工程学院,北京,100083
摘    要:描述比例导引律的模型都是非线性微分方程组,不易求解,常规求解方法是线性化.对真比例导引律进行了详细推导,并和纯比例导引律进行了比较和分析,通过坐标变换和引入相对运动的单位角动量,获得了解析的捕获域和截获时间.研究结果表明,真比例导引律的捕获域受到导航比的限制,纯比例导引律的捕获域在一定条件下不受导航比限制.

关 键 词:真比例导引律  捕获长度  纯比例导引律

Analytical Solution of True Proportional Navigation
WEI Xing,WANG Yan-dong.Analytical Solution of True Proportional Navigation[J].Fire Control & Command Control,2009,34(8).
Authors:WEI Xing  WANG Yan-dong
Institution:School of Automation Science and Electrical Engineering;Beijing University of Aeronautics and Astronautics;Beijing 100083;China
Abstract:A set of transcendent nonlinear differential equations is used to describe proportional navigation,but it is difficult to be resolved analytically,the linearization method is often used.In this paper,trying to derive an exact and detail solution of true proportional navigation(TPN).And was analysed and compared to pure proportional navigation(PPN).The capture set and time of interception are obtained analytically by coordinating transformation and exploiting of the unit angular momentum.The results show the...
Keywords:true proportional navigation  capture length  pure proportional navigation  
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