航空学报 > 1993, Vol. 14 Issue (11): 636-639

关于制导问题的闭合形式解

姜玉宪   

  1. 北京肮空航天大学自控系 北京 100083
  • 收稿日期:1991-05-01 修回日期:1992-09-01 出版日期:1993-11-25 发布日期:1993-11-25

THE CLOSED-FORM SOLUTION TO GUIDANCE PROBLEM

Jiang Yu-xian   

  1. Dept. of Automation, Beifng University of Aeronautics and Astronautics, Beijing, 100083
  • Received:1991-05-01 Revised:1992-09-01 Online:1993-11-25 Published:1993-11-25

摘要: 研究了系统惯性对制导问题闭合形式解的影响,并获得了解析形式的解。此解表明不考虑惯性问题的解只是本闭合形式解在大视线距条件下的一种特殊形式。本解也适合小视线距,视线角速度不稳以及造成脱靶的原因等,都得到了反映。分析结果可用来研究比例导引系数、系统惯性对脱靶量的影响。

关键词: 制导, 制导问题的闭合解, 比例导引, 脱靶量

Abstract: The effect of inertia of the guidance systems on the closed form solution to guidance problems is investigated and an analytical solution is obtained. It indicates that the solution without considering the inertia is only a special form for long Line-of-Sight, However, this solution is also available to short Line of-Sight. The unstability of angular rate of the Line of-Sight and the reason for miss-distances are also expressed by this solution. The results can be used to analyse the effect of the proportional navigation coefficient and the inertia of guidance system on miss - distances.

Key words: guidance, closed form solution to guidance problem, proportional navigation, miss distance