弹目相对状态测量误差对拦截效果的影响分析

doi:10.12305/j.issn.1001-506X.2021.10.32

摘要/Abstract

摘要：

针对拦截弹中末交班过程中弹目相对状态测量误差引起的脱靶量变化问题, 在视线旋转坐标系下推导了弹目相对运动方程并进行解耦分析, 基于协方差转换法、连续离散混合系统的协方差描述函数法推导得到了弹目相对状态测量误差在末段传播的解析解及脱靶量均值、方差的计算方法。仿真解析计算与蒙特卡罗法计算结果一致, 并通过解析计算得到拦截弹相对状态测量误差与脱靶量的对应关系以及为实现拦截可允许的相对状态测量误差集。同时，仿真结果可为拦截弹中末交班信息测控精度、加速度饱和限制设计等工作提供技术参考。

关键词: 拦截弹, 相对状态测量误差, 拦截效果, 脱靶量

Abstract:

Against the interceptor's miss distance variation caused by relative state measurement error during midcourse-terminal handover process, the relative equations are conducted and analyzed in rotation coordinate of line of sight (LOS). The analytic solution of relative state measure error propagation in the terminal phase is obtained based on covariance analysis describing function technique (CADET) and covariance transform method. Then the mean and covariance of miss distance can be calculated. A contrast simulation by analytic solution and Monte Carlo algorithm is conducted and then correctness and efficiency is verified. The quantitative relationship between relative state measurement error and miss distance and the permissible error reachable set are obtained. The research results are significant in interceptor's measurement accuracy and acceleration capacity design.

Key words: interceptor, relative state measurement error, interception efficiency, miss distance

中图分类号:

张涛涛, 方登建, 李静, 申森. 弹目相对状态测量误差对拦截效果的影响分析[J]. 系统工程与电子技术, 2021, 43(10): 2968-2975.

Taotao ZHANG, Dengjian FANG, Jing LI, Sen SHEN. Effect analysis of interceptor's relative state measurement error on interception efficiency[J]. Systems Engineering and Electronics, 2021, 43(10): 2968-2975.

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状态参数	拦截弹
状态参数	X	Y	Z
位置/m	5.632×10⁶	2.994×10⁶	0
速度/(m/s)	1.488×10³	0.052×10³	2.605×10³

状态参数	来袭导弹
状态参数	X	Y	Z
位置/m	5.667×10⁶	2.994×10⁶	6.622×10⁴
速度/(m/s)	-0.555×10²	2.347×10²	-9.705×10²

飞行时间/s	变化参数
	视线转率均值/(rad/s)				视线转率标准差/(rad/s)			脱靶量均值/m		脱靶量标准差/m
	解析模型	蒙特卡罗	计算偏差		解析模型	蒙特卡罗	计算偏差	解析模型	蒙特卡罗	解析模型	蒙特卡罗
0	4.85×10^-3	4.83×10^-3	0.41%		4.14×10^-5	4.13×10^-5	0.24%	0.046 2	0.044 8	0.005 63	0.005 45
5.88	3.34×10^-3	3.33×10^-3	0.30%		7.81×10^-5	7.78×10^-5	0.38%
14.22	1.21×10^-3	1.22×10^-3	0.82%		1.72×10^-5	1.68×10^-5	2.30%
18.86	1.01×10^-3	0.99×10^-3	2.02%		5.14×10^-5	5.19×10^-5	0.96%
平均偏差	0.88%		0.97%				3.1%		3.3%
计算耗时	解析模型	0.3 s		蒙特卡罗				5 765.5 s

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