基于改进灰色关联分析的航天产品性能样机仿真结果一致性验证方法

doi:10.12305/j.issn.1001-506X.2023.09.16

Abstract

Abstract:

The grey correlation analysis method is widely used in the field of simulation model validation due to its advantages such as simple calculation and not requiring large sample size. However, the Deng correlation degree model has the drawback of being unable to determine the sequence distance, which can easily lead to misjudgment of simulation validation results. In order to improve the accuracy of using grey correlation analysis to verify the reliability of simulation results, a distance analysis method is proposed to determine the distance between data sequences. When verifying the consistency of simulation results for aerospace product performance prototypes, the distance analysis method is combined with the grey correlation analysis method to form a grey correlation analysis method that considers sequence distance. It can judge the consistency of two sets of sequences from both the shape and position of the curve, improving the accuracy and reliability of the verification results.

Key words: grey relational analysis (GRA), simulation result validation, distance analysis, performance prototype

CLC Number:

TP391.9

Shan GAO, Yongfeng ZHI, Pu ZHANG, Xuan ZUO. Consistency validation method of simulation results based on improved grey relational analysis for aerospace product performance prototype[J]. Systems Engineering and Electronics, 2023, 45(9): 2777-2783.

Figures/Tables 8

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	公理名称	公理描述
1	规范性	0≤γ(x₀(k), x_i(k))≤1 γ(X₀, X_i)=1 $ \Leftrightarrow $ X₀=X_i
2	整体性	对任意X_i, X_j∈X, i≠j都有γ(X_i, X_j)≠γ(X_j, X_i)
3	偶对称性	对任意X_i, X_j∈X γ(X_i, X_j)=γ(X_j, X_i) $ \Leftrightarrow $ X={X_i, X_j}
4	接近性	\|x₀(k)－x_i(k)\|越小, γ(x₀(k), x_i(k))越大

方法	序列	γ	γ_C	一致性
GRA	X₁	1	-	一致
	X₂	1	-	一致
	X₃	1	-	一致
考虑距离的GRA	X₁	-	0.84	不一致
	X₂	-	0.84	不一致
	X₃	-	0.84	不一致

方法	序列	γ	γ_C	一致性
GRA	X₁	0.92	-	一致
	X₂	0.91	-	一致
	X₃	0.92	-	一致
考虑距离的GRA	X₁	-	0.60	不一致
	X₂	-	0.59	不一致
	X₃	-	0.60	不一致

Consistency validation method of simulation results based on improved grey relational analysis for aerospace product performance prototype

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序列	1	2	3	4	5	6	7	8	9	10
X₀	40	42	41	38	39	40	43	45	41	42
X₁	10	13	12	11	12	9	10	12	11	13
X₂	9	12	13	12	11	10	8	11	9	12
X₃	11	14	12	12	10	8	9	13	10	12