真比例导引律的解析解研究  

Analytical Solution of True Proportional Navigation

作　　者：卫星[1] 王艳东[1] 

机构地区：[1]北京航空航天大学自动化科学与电气工程学院,北京100083

出　　处：《火力与指挥控制》2009年第8期84-86,共3页Fire Control & Command Control

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。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 capture length of TPN was effected by the navigation constant, but the PPN was not in one case.

关 键 词：真比例导引律 捕获长度 纯比例导引律 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]