Research on Sequential Design Methods for Satellite Combat Simulation Tests

doi:10.16182/j.issn1004731x.joss.23-0602

Abstract

Abstract:

Aiming at the problem that satellite monitoring mission simulation tests cannot take into account the number of sample points and model accuracy in the complex test space, a hybrid sequential test design method for satellite simulation tests based on sample density and local nonlinearity is proposed. Voronoi division is used to describe the density of discrete point distribution, and the nonlinearity is measured with the help of Taylor expansion and sample point neighborhood gradient information. The two are combined to calculate the hybrid metrics, and the sample points are ranked and new ones are added until the stopping criterion is satisfied. The simulation results show that the sequential experimental design method can meet the stopping criterion with fewer sample points on the function examples compared to the uniform and Latin hypercube designs. Using the simulated system data, the error metric RMSE results improved by 44.88% and 38.77%, the error metric MAPE results improved by 47.07% and 37.4%, respectively. Compared with the traditional experimental design, the sequential experimental design method can effectively reduce the number of sample points and improve the model accuracy.

Key words: satellite simulation experiment, experimental design, sequential experimental design, hybrid sampling points, response modeling

CLC Number:

T391.9

Wang Yanlin, Cheng Zhijun, Wang Zichen, Zhong Jian. Research on Sequential Design Methods for Satellite Combat Simulation Tests[J]. Journal of System Simulation, 2024, 36(10): 2257-2264.

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测试函数名称	维度	测试区间
BOHACHEVSKY	2	[-100, 100]
MATYAS	2	[-10, 10]
PEAKS^[14]	2	[-5, 5]
SIX-HUMP CAMEL^[10]	2	[-2, 2]
ROSENBROCK^[15]	5	[5, 10]
BRATLEY ET AL. (1992)	6	[0, 1]

函数名称	LOLA-Voronoi	均匀设计	拉丁超立方设计
BOHACHE-VSKY	0.001 7	0.000 5	0.000 9
MATYAS	0.000 1	0.000 3	0.000 1
PEAKS	0.043 0	0.915 6	0.835 5
SIX-HUMP CAMEL	0.032 8	0.046 2	0.017 8

设计方法	样本数
设计方法	162	172	182	192
LOLA-Voronoi	0.018 5	0.009 2	0.004 1	0.004 8
均匀设计	0.013 9	0.015 0	0.006 8	0.006 5
拉丁超立方设计	0.008 3	0.010 1	0.006 0	0.006 2

设计方法	样本数
设计方法	172	182	192	202
LOLA-Voronoi	0.165 6	0.081 5	0.028 4	0.014 8
均匀设计	0.137 3	0.082 5	0.046 0	0.015 2
拉丁超立方设计	0.050 3	0.070 3	0.039 7	0.043 1

设计方法	样本数
设计方法	142	152	162	172
LOLA-Voronoi	0.011 0	0.009 9	0.009 5	0.008 5
均匀设计	0.011 2	0.010 3	0.011 3	0.008 8
拉丁超立方设计	0.010 7	0.011 4	0.009 6	0.008 9