面向多源信息融合的测试性建模与评估方法

张西山; 连光耀; 布树辉; 李会杰; 宋秦松

doi:10.13224/j.cnki.jasp.20220310

面向多源信息融合的测试性建模与评估方法

doi: 10.13224/j.cnki.jasp.20220310

1.
中国人民解放军 32181部队，西安 710032
2.
西北工业大学航空学院，西安 710072

基金项目: 装备预研领域基金（61400040302）

详细信息

作者简介:
张西山（1987-），男，工程师，博士，主要从事装备测试诊断技术研究

中图分类号: V19；TP206
计量
- 文章访问数: 574
- HTML浏览量: 126
- PDF量: 44
- 被引次数: 0
出版历程
- 收稿日期: 2022-05-06
- 网络出版日期: 2024-08-16

Testability modeling and evaluation method for multisource information fusion

1.
Chinese People’s Liberation Army 32181，Xi’an 710032，China
2.
School of Aeronautics，Northwestern Polytechnical University，Xi’an 710072，China

摘要

摘要:
针对由于信息缺乏难以进行装备测试性建模与评估的问题，提出了面向多源信息融合的测试性建模与评估方法。首先，结合测试性结构模型和贝叶斯网络模型，构建了包含系统结构层次、故障模式、测试、有向边和节点条件概率等元素组成的分层混合测试性模型；然后，提出了基于专家经验和试验数据相结合的测试性模型节点条件概率确定方法，建立了测试性评估推理模型，实现了小子样条件下测试性信息的准确描述；最后，通过实例分析验证了基于分层混合模型仿真的测试性评估结果的精确性，相比传统建模评估方法故障检测率降低0.79%，避免了传统方法的冒进。
- 信息融合 /
- 分层混合 /
- 测试性建模 /
- 测试性评估 /
- 小子样
Abstract:
For the difficulty to carry out testability modeling and evaluation due to the lack of information, the testability modeling and evaluation method for multisource information fusion were studied. Firstly, referring to testability structure model and Bayesian networks model, a layered hybrid testability model consisting of system component unit, failure, mode, test, directed edge and node conditional probability was constructed. Then, the method of determining the node conditional probability was proposed by combining expert experience and experiment data, the testability evaluation reasoning model was established, and accurate description of probability information under small sample condition was realized; Lastly, it was verified that the testability evaluation result based on hierarchical hybrid model simulation has the highest accuracy, compared with the traditional modeling evaluation method, the fault detection rate was reduced by 0.79%.
- information fusion /
- hierarchical fusion /
- testability modeling /
- testability evaluation /
- small-sample

HTML

图 1 测试性模型组成要素

Figure 1. Elements of testability model

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图 2 测试性分层混合建模流程

Figure 2. The process of the testability hierarchical hybrid model

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图 3 功能结构框图

Figure 3. Function structure diagram

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图 4 某惯测组合测试性分层混合模型

Figure 4. Testability hierarchical hybrid model of some inertial measurement combination

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图 5 THHM的贝叶斯网络转化形式

Figure 5. Bayesian networks testability model transformed from THHM

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表 1 某系统故障——测试的相关性矩阵

Table 1. Correlation matrix for fault and test of a system

故障	故障率	测试项目
故障	故障率	${t_1}$	${t_2}$	${t_3}$	${t_4}$	${t_5}$	${t_6}$	${t_7}$
${f_1}$	${\lambda _1}$	0	0	1	1	0	0	1
${f_2}$	${\lambda _2}$	1	0	0	0	0	0	0
${f_3}$	${\lambda _3}$	0	1	0	0	0	0	0
${f_4}$	${\lambda _4}$	1	0	0	0	0	0	0
${f_5}$	${\lambda _5}$	0	0	1	0	0	0	1
${f_6}$	${\lambda _6}$	0	0	1	0	0	0	0
${f_7}$	${\lambda _7}$	0	0	0	1	0	0	0
${f_8}$	${\lambda _8}$	0	0	0	1	0	0	0
${f_9}$	${\lambda _9}$	0	0	1	0	0	0	0
${f_{10}}$	${\lambda _{10}}$	0	0	0	0	1	0	0
${f_{11}}$	${\lambda _{11}}$	0	0	0	1	0	0	0
${f_{12}}$	${\lambda _{12}}$	0	0	1	0	0	0	0
${f_{13}}$	${\lambda _{13}}$	0	0	0	0	0	1	0
${f_{14}}$	${\lambda _{14}}$	0	0	0	1	0	0	0
${f_{15}}$	${\lambda _{15}}$	0	0	1	0	0	0	0
${f_{16}}$	${\lambda _{16}}$	1	0	0	0	0	0	0

下载: 导出CSV

表 2 两种情况下的计算结果对比

Table 2. Comparison of calculation results in two scenarios %

计算情况	FDR	FIR	FAR
无试验信息（传统方法）	97.98	13.59	3.06
有试验信息（信息融合方法）	97.20	13.31	3.36

下载: 导出CSV

参考文献(23)

[1]	吕政良,王红,靳洋,等. 基于多信号流图的高层模块描述[J]. 清华大学学报(自然科学版),2011,51(7): 884-888. LÜ Zhengliang,WANG Hong,JIN Yang,et al. High-level modules of multi-signal flow graphs for testability analyses[J]. Journal of Tsinghua University (Science and Technology),2011,51(7): 884-888. (in Chinese LÜ Zhengliang, WANG Hong, JIN Yang, et al. High-level modules of multi-signal flow graphs for testability analyses[J]. Journal of Tsinghua University (Science and Technology), 2011, 51(7): 884-888. (in Chinese)
[2]	尹园威,尚朝轩,马彦恒,等. 层次测试性模型的评估方法[J]. 北京航空航天大学学报,2015,41(1): 90-95. YIN Yuanwei,SHANG Chaoxuan,MA Yanheng,et al. Method of testability evaluation using hierarchical testability model[J]. Journal of Beijing University of Aeronautics and Astronautics,2015,41(1): 90-95. (in Chinese YIN Yuanwei, SHANG Chaoxuan, MA Yanheng, et al. Method of testability evaluation using hierarchical testability model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(1): 90-95. (in Chinese)
[3]	LIU Guanjun,YANG Shuming,QIU Jing,et al. A novel testability model for health management of heading attitude system[J]. Chinese Journal of Aeronautics,2013,26(1): 201-208. doi: 10.1016/j.cja.2012.12.011
[4]	EMMERT G. Method for improving design testability through modeling[R]. Piscataway,US: IEEE,2010.
[5]	TAN Xiaodong,QIU Jing,LIU Guanjun,et al. A novel approach of testability modeling and analysis for PHM systems based on failure evolution mechanism[J]. Chinese Journal of Aeronautics,2013,26(3): 766-776. doi: 10.1016/j.cja.2013.04.044
[6]	吕晓明,黄考利,连光耀. 基于多信号流图的分层系统测试性建模与分析[J]. 北京航空航天大学学报,2011,37(9): 1151-1155. LÜ Xiaoming,HUANG Kaoli,LIAN Guangyao. Modeling and analyzing for testability of hierarchy system based on multi-signal flow graph model[J]. Journal of Beijing University of Aeronautics and Astronautics,2011,37(9): 1151-1155. (in Chinese LÜ Xiaoming, HUANG Kaoli, LIAN Guangyao. Modeling and analyzing for testability of hierarchy system based on multi-signal flow graph model[J]. Journal of Beijing University of Aeronautics and Astronautics, 2011, 37(9): 1151-1155. (in Chinese)
[7]	吕晓明,黄考利,连光耀,等. 基于混合诊断模型的复杂系统测试性设计与分析[J]. 弹箭与制导学报,2008,28(6): 283-286. LV Xiaoming,HUANG Kaoli,LIAN Guangyao,et al. Design and analysis of complex system testability based on hybrid diagnostic model[J]. Journal of Projectiles,Rockets,Missiles and Guidance,2008,28(6): 283-286. (in Chinese LV Xiaoming, HUANG Kaoli, LIAN Guangyao, et al. Design and analysis of complex system testability based on hybrid diagnostic model[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2008, 28(6): 283-286. (in Chinese)
[8]	史贤俊,王康,肖支才,等. 面向复杂系统的三维Bayes网络测试性验证模型[J]. 北京航空航天大学学报,2019,45(7): 1303-1313. SHI Xianjun,WANG Kang,XIAO Zhicai,et al. Three-dimensional Bayes network testability verification model for complex systems[J]. Journal of Beijing University of Aeronautics and Astronautics,2019,45(7): 1303-1313. (in Chinese SHI Xianjun, WANG Kang, XIAO Zhicai, et al. Three-dimensional Bayes network testability verification model for complex systems[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(7): 1303-1313. (in Chinese)
[9]	翟禹尧,史贤俊,韩露等. 基于Petri网的测试-故障诊断一体化模型研究[J]. 振动、测试与诊断,2022,42(2): 335-342. ZHAI Yuyao,SHI Xianjun,HAN Lu,et al. Testability-fault diagnosis integrated model based on Petri net[J]. Journal of Vibration,Measurement and Diagnosis,2022,42(2): 335-342. (in Chinese ZHAI Yuyao, SHI Xianjun, HAN Lu, et al. Testability-fault diagnosis integrated model based on Petri net[J]. Journal of Vibration, Measurement and Diagnosis, 2022, 42(2): 335-342. (in Chinese)
[10]	韩露,史贤俊,翟禹尧. 基于NSGA-3与改进贝叶斯网络模型的测试优化选择方法[J]. 西北工业大学学报,2021,39(2): 414-422. HAN Lu,SHI Xianjun,ZHAI Yuyao. Test optimization selection method based on NSGA-3 and improved Bayesian network model[J]. Journal of Northwestern Polytechnical University,2021,39(2): 414-422. (in Chinese doi: 10.1051/jnwpu/20213920414 HAN Lu, SHI Xianjun, ZHAI Yuyao. Test optimization selection method based on NSGA-3 and improved Bayesian network model[J]. Journal of Northwestern Polytechnical University, 2021, 39(2): 414-422. (in Chinese) doi: 10.1051/jnwpu/20213920414
[11]	王鹏,于永利,李星新,等. 多状态系统测试建模与测试点选取方法[J]. 哈尔滨工业大学学报,2022,54(6): 54-62. WANG Peng,YU Yongli,LI Xingxin,et al. Multi-state system test modeling and test point selection method[J]. Journal of Harbin Institute of Technology,2022,54(6): 54-62. (in Chinese WANG Peng, YU Yongli, LI Xingxin, et al. Multi-state system test modeling and test point selection method[J]. Journal of Harbin Institute of Technology, 2022, 54(6): 54-62. (in Chinese)
[12]	王璇,狄鹏,倪子纯,等. 基于多源冲突证据信息融合的测试性评估方法[J]. 振动、测试与诊断,2021,41(5): 964-969. WANG Xuan,DI Peng,NI Zichun,et al. Testability evaluation method of equipment based on information fusion for multi-souece conflict evidence[J]. Journal of Vibration,Measurement and Diagnosis,2021,41(5): 964-969. (in Chinese WANG Xuan, DI Peng, NI Zichun, et al. Testability evaluation method of equipment based on information fusion for multi-souece conflict evidence[J]. Journal of Vibration, Measurement and Diagnosis, 2021, 41(5): 964-969. (in Chinese)
[13]	陈然,连光耀,张西山. 基于序贯回归的小样本测试性验证试验方案[J]. 航空动力学报,2018,33(2): 305-312. CHEN Ran,LIAN Guangyao,ZHANG Xishan. A small sample testability verification test scheme based on sequential and regression analysis[J]. Journal of Aerospace Power,2018,33(2): 305-312. (in Chinese CHEN Ran, LIAN Guangyao, ZHANG Xishan. A small sample testability verification test scheme based on sequential and regression analysis[J]. Journal of Aerospace Power, 2018, 33(2): 305-312. (in Chinese)
[14]	翟禹尧,史贤俊,吕佳朋. 基于广义随机Petri网的导弹系统测试性建模与指标评估方法研究[J]. 兵工学报,2019,40(10): 2070-2079. ZHAI Yuyao,SHI Xianjun,LÜ Jiapeng. Research on evaluation method for testability index and modeling of missile system based on GSPN[J]. Acta Armamentarii,2019,40(10): 2070-2079. (in Chinese ZHAI Yuyao, SHI Xianjun, LÜ Jiapeng. Research on evaluation method for testability index and modeling of missile system based on GSPN[J]. Acta Armamentarii, 2019, 40(10): 2070-2079. (in Chinese)
[15]	翟禹尧,史贤俊,吕佳朋,等. 基于GSPN的导弹多层级测试性需求建模与指标评估[J]. 系统工程与电子技术,2021,43(4): 970-979. ZHAI Yuyao,SHI Xianjun,LYU Jiapeng,et al. Modeling and index evaluation of multi-level testability of missiles based on GSPN[J]. Systems Engineering and Electronics,2021,43(4): 970-979. (in Chinese ZHAI Yuyao, SHI Xianjun, LYU Jiapeng, et al. Modeling and index evaluation of multi-level testability of missiles based on GSPN[J]. Systems Engineering and Electronics, 2021, 43(4): 970-979. (in Chinese)
[16]	徐赫,王宝龙,武建辉. 基于贝叶斯网络的测试性预计方法[J]. 弹箭与制导学报,2007,27(4): 232-235,239. XU He,WANG Baolong,WU Jianhui. Testability prediction method base on Bayesian networks[J]. Journal of Projectiles,Rockets,Missiles and Guidance,2007,27(4): 232-235,239. (in Chinese XU He, WANG Baolong, WU Jianhui. Testability prediction method base on Bayesian networks[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2007, 27(4): 232-235, 239. (in Chinese)
[17]	王成刚,周晓东,王学伟. 基于贝叶斯网络的复杂装备测试性评估[J]. 电子测量与仪器学报,2009,23(5): 17-21. WANG Chenggang,ZHOU Xiaodong,WANG Xuewei. Testability evaluation for complex equipment based on Bayesian networks[J]. Journal of Electronic Measurement and Instrumentation,2009,23(5): 17-21. (in Chinese WANG Chenggang, ZHOU Xiaodong, WANG Xuewei. Testability evaluation for complex equipment based on Bayesian networks[J]. Journal of Electronic Measurement and Instrumentation, 2009, 23(5): 17-21. (in Chinese)
[18]	LIAN Guangyao,KAOL H,CHEN Jianhu,et al. Study of testability measurement method for equipment based on Bayesian network model[J]. Journal of Systems Engineering and Electronics,2009,20(5): 1017-1023.
[19]	代京,于劲松,张平,等. 基于多信号流图的诊断贝叶斯网络建模[J]. 北京航空航天大学学报,2009,35(4): 472-475. DAI Jing,YU Jinsong,ZHANG Ping,et al. Diagnostic Bayesian networks modeling based on multi-signal flow graphs[J]. Journal of Beijing University of Aeronautics and Astronautics,2009,35(4): 472-475. (in Chinese DAI Jing, YU Jinsong, ZHANG Ping, et al. Diagnostic Bayesian networks modeling based on multi-signal flow graphs[J]. Journal of Beijing University of Aeronautics and Astronautics, 2009, 35(4): 472-475. (in Chinese)
[20]	厉海涛,金光,周经伦,等. 动量轮在轨状态可靠性贝叶斯网络建模与评估[J]. 航空学报,2009,30(6): 1084-1089. LI Haitao,JIN Guang,ZHOU Jinglun,et al. Bayesian network reliability modeling and assessment of momentum wheel on orbit[J]. Acta Aeronautica et Astronautica Sinica,2009,30(6): 1084-1089. (in Chinese LI Haitao, JIN Guang, ZHOU Jinglun, et al. Bayesian network reliability modeling and assessment of momentum wheel on orbit[J]. Acta Aeronautica et Astronautica Sinica, 2009, 30(6): 1084-1089. (in Chinese)
[21]	厉海涛,金光,周经伦,等. 贝叶斯网络在动量轮地面试验可靠性分析中的应用[J]. 航空动力学报,2009,24(6): 1321-1325. LI Haitao,JIN Guang,ZHOU Jinglun,et al. Bayesian networks application to reliability analysis of momentum wheel’s ground test[J]. Journal of Aerospace Power,2009,24(6): 1321-1325. (in Chinese LI Haitao, JIN Guang, ZHOU Jinglun, et al. Bayesian networks application to reliability analysis of momentum wheel’s ground test[J]. Journal of Aerospace Power, 2009, 24(6): 1321-1325. (in Chinese)
[22]	RUFO M J,PÉREZ C J,MARTÍN J. Merging experts’ opinions: a Bayesian hierarchical model with mixture of prior distributions[J]. European Journal of Operational Research,2010,207(1): 284-289. doi: 10.1016/j.ejor.2010.04.005
[23]	张西山,黄考利,闫鹏程,等. 基于不确定性测度与支持度的测试性验前信息融合方法[J]. 航空动力学报,2015,30(11): 2779-2786. ZHANG Xishan,HUANG Kaoli,YAN Pengcheng,et al. Testability prior information fusion method based on uncertainty measure and supporting degree[J]. Journal of Aerospace Power,2015,30(11): 2779-2786. (in Chinese ZHANG Xishan, HUANG Kaoli, YAN Pengcheng, et al. Testability prior information fusion method based on uncertainty measure and supporting degree[J]. Journal of Aerospace Power, 2015, 30(11): 2779-2786. (in Chinese)