引入测速信息的雷达导引头无偏转换跟踪方法

doi:10.3969/j.issn.1001-506X.2020.08.08

Abstract

Abstract:

For the advanced surface-to-air missile, the accurate information of missile-target encounter is required. Based on the adaptive Kalman filter algorithm, an unbiased converted tracking method of radar seeker with velocity information is proposed. According to the current statistical model, the current acceleration is estimated by recursive least square algorithm with forgetting factor, and the state equation is obtained. By analyzing the unbiased conversion relations of position and velocity information from polar coordinates to Cartesian coordinates, the true unbiased converted measurement covariance and its estimation using measurements are deduced. And the measurement equation is acquired. With the state and error estimation result of filter, the estimation algorithm of the true unbiased converted measurement covariance is improved. The simulation results prove the good performance of the tracking method in both filtering accuracy and tracking speed.

Key words: radar seeker, target tracking, adaptive Kalman filter, unbiased converted measurement, velocity information

CLC Number:

V249.12

Zhida WANG, Lin XUE, Yangyang CHEN, Jianguo LI. Unbiased converted tracking method of radar seeker with velocity information[J]. Systems Engineering and Electronics, 2020, 42(8): 1695-1702.

Figures/Tables 11

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References 27

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参数类别	值
仿真时间t/s	10
采样时间T/s	0.001
时间常数α/s	0.001
加速度[a_min, a_max]/(m/s²)	[-150, 150]
初始相对位置(x, y)/m	(8 000, 8 000)
初始相对速度(V_x, V_y)/(m/s)	(-800, -800)
加速度(a_x, a_y)/(m/s²)	(a_x(t), 50)

量测项目	标准差
径向距离/m	20
视线角/rad	0.001
径向速率/(m/s)	10
视线角速率/(rad/s)	0.005

量测项目	设置1	设置2	设置3
r/m	20	40	60
θ/rad	0.001	0.01	0.02
V_n/(m/s)	10	20	30
ω/(rad/s)	0.005	0.010	0.015

RMSE	方法1	方法2	方法3	方法4
x/m	0.34	2.48	0.60	0.61
y/m	0.42	1.84	0.67	0.68
V_x/(m/s)	2.88	16.32	6.19	6.23
V_y/(m/s)	2.58	9.35	5.41	5.43

RMSE	方法1	方法2	方法3	方法4
x/m	1.20	4.83	3.42	3.56
y/m	1.26	3.94	3.24	3.07
V_x/(m/s)	4.31	29.83	16.05	16.06
V_y/(m/s)	3.68	26.92	14.51	14.35

Unbiased converted tracking method of radar seeker with velocity information

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RMSE	方法1	方法2	方法3	方法4
x/m	1.80	8.03	8.99	10.26
y/m	2.55	7.08	8.97	8.82
V_x/(m/s)	8.55	48.50	32.34	32.36
V_y/(m/s)	7.28	35.66	32.51	32.34