Ground Target Intercept Probability of Focal Plane Image Guided Missiles

doi:10.12382/bgxb.2023.1107

Abstract

Abstract:

For the needs of target detection and precision guidance of image guided missile,the ground target intercept probability of image guided missile when it is transferred to terminal guidance based on a rectangular focal plane detector is investigated.The analytical solution of irregular quadrilateral detection field(IQDF) and the simplified rectangular detection field(SRDF) model for ground detection are derived from the altitude,attitude and detector parameters of missile.The main error sources affecting the target intercept probability are identified.The target intercept probability is decomposed into the missile state probability andthe probability of a target falling into the ground field-of-view in the current state by using the conditional probability idea,and the finite element segmentation algorithm is utilized to derive the probability of the target falling into the ground field of view(FOV),so as to establish a model of target intercept probability in the case of multi-source error.The effects of the main error sources on the probability of the target falling into the ground FOV in IQDF and SRDF are analyzed by simulation,and the derived target intercept probability is compared with the Monte Carlo simulation results in the case of multi-source errors,which verifies the effectiveness of the target intercept probability calculation method.

Key words: image guided missile, focal plane detector, intercept probability, multi-source error, detection field-of-view model

CLC Number:

TJ765.3

ZHAO Jie, XU Ziyu, MO Bo, SHI Zhongjiao. Ground Target Intercept Probability of Focal Plane Image Guided Missiles[J]. Acta Armamentarii, 2025, 46(1): 231107-.

Figures/Tables 15

References 21

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误差源	方向	分布类型	均值	标准差
导弹位置误差	x	正态分布	0	σ_M_x
	y		h_s	σ_M_y
	z		0	σ_M_z
导弹角度误差	滚转	正态分布	γ_s	σ_γ
导弹角度误差	俯仰	正态分布	ϑ_m₀	σ_ϑm
导引头框架角误差		正态分布	ϑ_k₀	σ_ϑk
目标位置误差	x	正态分布	x_T	σ_T_x
目标位置误差	z	正态分布	z_T	σ_T_z

误差源	方向	分布类型	均值	标准差
导弹位置误差	x	正态分布	0	σ_M_x
	y		h_s	σ_M_y
	z		0	σ_M_z
导弹角度误差	滚转	正态分布	γ_s	σ_γ
导弹角度误差	俯仰	正态分布	ϑ_m₀	σ_ϑm
导引头框架角误差		正态分布	ϑ_k₀	σ_ϑk
目标位置误差	x	正态分布	x_T	σ_T_x
目标位置误差	z	正态分布	z_T	σ_T_z

误差源	均值	标准差	误差源	均值	标准差	误差源	均值	标准差	误差源	均值	标准差	P_s	P_t	P_t0
高度	1100	30	下视角	-50°	0.6°	滚转角	0°	0.6°	T-C 误差	0	60	0.8186	0.7578	0.7657
		45			0.6°			0.6°			60	0.8186	0.6854	0.6911
		30			1.0°			0.6°			60	0.8186	0.7477	0.7498
		30			0.6°			1.0°			60	0.8186	0.7578	0.7621
		30			0.6°			0.6°			80	0.6237	0.5765	0.5804

误差源	均值	标准差	误差源	均值	标准差	误差源	均值	标准差	误差源	均值	标准差	P_s	P_t	P_t0
高度	1100	30	下视角	-50°	0.6°	滚转角	0°	0.6°	T-C 误差	0	60	0.8186	0.7578	0.7657
		45			0.6°			0.6°			60	0.8186	0.6854	0.6911
		30			1.0°			0.6°			60	0.8186	0.7477	0.7498
		30			0.6°			1.0°			60	0.8186	0.7578	0.7621
		30			0.6°			0.6°			80	0.6237	0.5765	0.5804

误差源	均值	标准差	误差源	均值	标准差	误差源	均值	标准差	误差源	均值	标准差	P_s	P_t	P_t0
高度	1100	70	下视角	-50°	3°	滚转角	0°	0.6°	T-C 误差	0	60	0.8186	0.5570	0.5594
		110			3°			0.6°			60	0.8186	0.4838	0.5030
		70			5°			0.6°			60	0.8186	0.5193	0.5165
		70			3°			1.0°			60	0.8186	0.5570	0.5597
		70			3°			0.6°			100	0.4680	0.3107	0.3123