有限过载的三维现实真比例导引的捕获区域

doi:10.12305/j.issn.1001-506X.2022.03.31

摘要/Abstract

摘要：

针对拦截器中末制导交接班状态, 分析了拦截器在有限过载条件下采用现实真比例导引律的捕获区域, 以及捕获区域的各影响因素。首先, 对视线旋转坐标系进行介绍, 并建立末制导段拦截器与目标相对运动模型。其次, 对三维(three dimensional, 3D)现实真比例导引律性能进行分析, 并对视线旋转角速度进行李雅普诺夫稳定性判定。然后, 在3D现实真比例导引律条件下, 针对有限过载的拦截器拦截3D机动目标, 对捕获区域进行推导证明, 得到成功捕获的必要条件。最后, 通过3种情形下的仿真实验, 来验证本文捕获区域的有效性, 并在此基础上分析捕获区域的影响因素。

关键词: 捕获区域, 现实真比例导引, 李雅普诺夫稳定, 有限过载, 三维机动

Abstract:

In view of the transition state of intermediate and terminal guidance of interceptor, the capture region of interceptor under the condition of finite overload with realistic true proportional navigation and the influencing factors of the capture region are analyzed. Firstly, the rotation coordinate system of the line of sight is introduced, and the relative motion model of the interceptor and the target in the terminal guidance section is established. Secondly, it analyzes the performance of the three dimensional (3D) realistic true proportional guidance law is analyzed, and the Lyapunov stability of the line-of-sight rotation angular velocity is judged. Then, under the conditions of the 3D realistic true proportional guidance law, the interceptor with limited overload intercepts the 3D maneuvering target, and the capture area is deduced and proved to obtain the necessary conditions for successful capture. Finally, through simulation experiments in three situations, the effectiveness of the capture area in this paper is verified, and on this basis, the influencing factors of the capture area are analyzed.

Key words: capture area, realistic true proportional guidance law, Lyapunov stability, limited overload, three-dimensional maneuver

中图分类号:

TJ765

张锦林, 李炯, 雷虎民, 李万礼, 唐骁. 有限过载的三维现实真比例导引的捕获区域[J]. 系统工程与电子技术, 2022, 44(3): 986-997.

Jinlin ZHANG, Jiong LI, Humin LEI, Wanli LI, Xiao TANG. Capture region of 3D realistic true proportional navigation with finite overload[J]. Systems Engineering and Electronics, 2022, 44(3): 986-997.

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符号	物理意义	数值
r₀/km	拦截器捕获目标初始距离	100
v_{r_Imp}/(km·s^-1)	容许碰撞速度	-4
r_Miss/m	容许脱靶量	0.1
α_{m max}/g	拦截器饱和机动加速度	6
α_r/g	目标在e_r上的加速度上限	1
α_θ/g	目标在e_θ上的加速度上限	2

导航比N	终端脱靶量/m
2.7	62.753 1
4.1	0.011 65
5.5	0.019 66

导航比N	终端脱靶量/m
2.7	364.728 4
4.1	237.351 3
5.5	237.351 3

符号	数值
r₀/km	30
v_{r_Imp}/(km·s^-1)	-1.5

导航比N	终端脱靶量/m
2.7	53.904 3
3.9	0.081 18
5.1	0.089 26