﻿ 基于FFS故障行为模型的等效故障注入方法<sup>*</sup>
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1. 陆军工程大学 石家庄校区, 石家庄 050003;
2. 中国人民解放军32181部队, 石家庄 050003

Equivalent fault injection method based on FFS failure behavior model
QIU Wenhao1,2, HUANG Kaoli1,2, LIAN Guangyao2, ZHANG Xishan2
1. Army Engineering University Shijiazhuang Campus, Shijiazhuang 050003, China;
2. Unit 32181 of PLA, Shijiazhuang 050003, China
Received: 2018-08-29; Accepted: 2018-11-30; Published online: 2018-12-18 08:46
Foundation item: Equipment Pre-research Foundation of China (9140A27020215JB40001); National Defence Pre-research Foundation (51327030104)
Corresponding author. HUANG Kaoli, E-mail: theroic@163.com
Abstract: A equivalent fault injection method based on failure mode-function-state (FFS) failure behavior model is proposed to deal with the incapability of fault injection and permanent damage caused by fault injection in the fault injection based testability verification test. Firstly, the general FFS modeling idea is described, and the function is proposed as the basic element of modeling. Based on the multivariate modeling information of equipment, the failure behavior model is established. Then, the correlation matrixes and behavior state vector are defined, the method for characterizing uncertain information among failure modes, functions, and states is studied, and the calculation method for fault mode-state correlation matrix is proposed. Finally, the definition of equivalent failure mode and the equivalent fault injection process based on FFS failure behavior model are proposed. This method was applied to a launch control system. The results show that by this method the equivalent fault injection can be realized, and the rate of fault injection is increased by about 16.7%.
Keywords: testability verification test     equivalent fault     multiple information     failure behavior model     behavior characteristic

1 基于多元信息的FFS故障行为层次化建模 1.1 故障行为总体建模思路

 图 1 故障行为总体建模思路 Fig. 1 General idea of failure behavior modeling

1.2 FFS故障行为模型

 图 2 FFS故障行为建模流程 Fig. 2 FFS failure behavior modeling process

2 基于FFS模型的故障行为特性分析

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aij(2)=1的充要条件是:k使得aik=akj=1，即存在故障模式结点Fkm，使得Fim经过e(Fim, Fkm)和e(Fkm, Fjm)两条边可以到达Fjm。同理，Amml=(aij(l))(ln)中aij(l)=1表示Fim经过l条边e(Fim, Fkm), …, e(Fkm, Fjm)可以到达Fjm。则故障模式-故障模式相关矩阵为

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3 基于FFS故障行为模型的故障等效分析

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 图 3 基于FFS故障行为模型的等效故障注入流程 Fig. 3 Equivalent fault injection process based on FFS failure behavior model
4 实例分析

 图 4 发射控制系统功能结构 Fig. 4 Functional structure of launch control system

 图 5 发射控制系统FFS故障行为模型 Fig. 5 FFS failure behavior model of launch control system

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 功能 状态 测试次数 成功次数 F1uSC s1 23 22 s2 18 13 F2uSC s2 27 22 F3uSC s3 12 11

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 模块 分配样本数 直接注入样本数 等效注入后样本数 直流电源模块 14 14 14 主控模块 7 4 6 通信管理模块 8 6 8 输入输出模块 9 8 9 同步通信模块 8 6 7 发射控制模块 14 11 12 模数转换模块 7 5 7

1) 装备的复杂性导致很难直接获得故障模式与状态的关联关系，而通过图 1可以看出，基于多元信息构建的FFS故障行为模型将试验对象的功能作为建模要素，有效解决了故障模式-状态相关矩阵获取难的问题。

2) FFS故障行为模型以装备结构信息为基础，融合了故障模式、功能和状态之间的不确定性信息，使得故障行为模型具备表征不确定性知识的能力，相比于传统的确定性建模，考虑因素更加全面，获得的行为状态关系更加准确。

3) 由同步通信模块的详细分析可知，对于不可注入故障模式F1mSC，可以通过故障行为模型进行等效故障注入，等效后的行为状态与建模分析结果一致。如表 2所示，采用基于FFS故障行为模型的方法进行等效注入后，发射控制系统的可注入样本由54个提高到63个，故障注入率提高约16.7%，有效增加了测试性验证试验的故障注入样本。

5 结论

1) 本文方法能够基于故障行为建模，通过求解故障模式与状态的关联关系进行等效故障注入。

2) FFS故障行为模型将“功能”作为基本建模要素，通过获取故障模式-功能和功能-状态相关矩阵，能够求解出准确的故障模式-状态相关矩阵。

3) FFS故障行为模型综合了不确定性、确定性和层次化结构等复杂装备的多元信息，能够更加准确地描述故障模式与状态的关联关系，而且层次化的结构也保证模型具有较好的扩展性。

4) 本文方法能够获得不可注入故障的等效故障模式或等效故障模式集，有效增加了故障注入样本，例如，某发射控制系统在进行故障等效后，故障注入率提高约16.7%。

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#### 文章信息

QIU Wenhao, HUANG Kaoli, LIAN Guangyao, ZHANG Xishan

Equivalent fault injection method based on FFS failure behavior model

Journal of Beijing University of Aeronautics and Astronsutics, 2019, 45(5): 952-960
http://dx.doi.org/10.13700/j.bh.1001-5965.2018.0486