目标运动要素自主隐蔽解析的微分进化策略

doi:10.3969/j.issn.1001-506X.2020.02.04

摘要/Abstract

摘要：

针对传统目标运动要素自主隐蔽解析中存在的噪声适应性差等问题,提出要素自主解析的微分进化策略。首先,简要论述了目标运动要素的自主隐蔽解析过程;其次,推导要素自主解析的协方差传播过程,给出目标运动要素方差与目标观测方位方差的对应关系,分析方位观测均方差对要素自主解析结果的影响;再次,提出了微分进化算法对自主解析模型的优化策略;最后,对优化策略进行仿真验证。结果表明,当方位存在0.1°的均方误差时,初距D₀均方误差约为12 Cab,速度分量V_mx、V_my均方误差分别约为5 Kn、6 Kn,通过微分进化策略优化后明显提高了要素自主解析结果的精度。

关键词: 要素解算, 最小二乘估计, 协方差传播, 方位误差, 微分进化

Abstract:

Aiming at the problem of poor noise adaptability in the independent concealment analysis of the traditional target motion elements, a differential evolution strategy of factor autonomous analysis is proposed. Firstly, the autonomous concealment analysis process of the target motion elements is briefly discussed. Secondly, the covariance propagation process of the autonomous analysis of the elements is derived, the corresponding relationship between the target motion element variance and the target observation azimuth variance is given, and the influence of azimuth observation mean square error is analyzed. Then a differential evolution algorithm on the autonomous analytical model is proposed again. Finally, the optimization strategy is verified by simulation. The results show that when the azimuth error of 0.1° exists in the azimuth, the mean square error of the initial distance D₀ is about 12 Cab, and the mean square errors of the velocity components V_mx and V_my are about 5 Kn and 6 Kn respectively. The accuracy of the elements autonomous analysis is obviously improved by the optimization of the differential evolution strategy.

Key words: element solution, least squares estimation, covariance propagation, azimuth error, differential evolution

中图分类号:

U675.9

单玉浩, 杨晓东, 王旺. 目标运动要素自主隐蔽解析的微分进化策略[J]. 系统工程与电子技术, 2020, 42(2): 277-283.

Yuhao SHAN, Xiaodong YANG, Wang WANG. Differential evolution strategy for autonomous concealment analysis of target motion elements[J]. Systems Engineering and Electronics, 2020, 42(2): 277-283.

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要素均方差	方位均方差
要素均方差	σ_F1=σ_F2=σ_F3=σ_F4=σ_F5=0.1°	σ_F1=σ_F2=σ_F3=σ_F4=σ_F5=0.2°	σ_F1=σ_F2=σ_F3=σ_F4=σ_F5=0.3°	σ_F1=σ_F2=σ_F3=σ_F4=σ_F5=0.4°
σ_D0/Cab	14.31	19.05	23.34	27.42
σ_Vmx/(m/s)	5.68	7.95	9.86	11.08
σ_Vmy/(m/s)	7.26	10.01	11.88	13.54

测方位	F₀/(°)	F₁/(°)	F₂/(°)	F₃/(°)	F₄/(°)	F₅/(°)	D₀	V_mx	V_my
要素真值	140.00	139.64	139.21	138.70	136.35	133.25	60.00 Cab或11 112.00 m	-4.13 Kn或-8.03 m/s	5.90 Kn或11.47 m/s

算例	测方位	F₀/(°)	F₁/(°)	F₂/(°)	F₃/(°)	F₄/(°)	F₅/(°)	D₀	V_mx	V_my
算例1	自主解析结果	139.84	139.58	139.25	138.56	136.17	133.19	41.41 Cab或7 670.00 m	0.51 Kn或-0.99 m/s	1.17 Kn或-2.27 m/s
算例1	DE优化结果	139.93	139.60	139.23	138.74	136.39	133.29	57.25 Cab或10 602.70 m	-3.97 Kn或-7.71 m/s	5.54 Kn或10.76 m/s
算例2	自主解析结果	140.14	139.54	139.37	138.80	136.27	133.37	35.64 Cab或6 600.53 m	1.26 Kn或2.44 m/s	-0.83 Kn或-1.61 m/s
算例2	DE优化结果	139.90	139.58	139.18	138.69	136.34	133.15	56.82 Cab或10 523.06 m	-3.73 Kn或-7.26 m/s	5.32 Kn或10.34 m/s
算例3	自主解析结果	139.92	139.64	139.31	138.58	136.31	133.07	50.16 Cab或9 289.63 m	-2.61 Kn或-5.07 m/s	3.81 Kn或7.41 m/s
算例3	DE优化结果	140.03	139.70	139.20	138.67	136.31	133.28	59.54 Cab或11 026.81 m	-3.64 Kn或-7.08 m/s	5.46 Kn或10.62 m/s

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