计算机科学 ›› 2020, Vol. 47 ›› Issue (11A): 57-63.doi: 10.11896/jsjkx.190900174

• 人工智能 • 上一篇    下一篇

一种基于马氏距离的系统故障诊断方法

林毅1, 吉鸿江2, 韩佳佳3, 张德平3   

  1. 1 中国人民解放军91776部队 北京 100084
    2 北京中船信息科技有限公司 北京 100861
    3 南京航空航天大学计算机科学与技术学院 南京 210000
  • 出版日期:2020-11-15 发布日期:2020-11-17
  • 通讯作者: 吉鸿江(jihongjiang_2008@126.com)
  • 作者简介:linyi19820804@163.com
  • 基金资助:
    总装预研项目资金(41402020501)

System Fault Diagnosis Method Based on Mahalanobis Distance Metric

LIN Yi1, JI Hong-jiang2, HAN Jia-jia3, ZHANG De-ping3   

  1. 1 Unit 91776 of the PLA,Beijing 100084,China
    2 China Shipbuilding IT CO.,LTD.,Beijing 100861,China
    3 College of Computer Science and Technology,Nanjing University of Aeronautics & Astronautics,Nanjing 210000,China
  • Online:2020-11-15 Published:2020-11-17
  • About author:LIN Yi,born in 1982,master,assistant research fellow.His main research interests include military big data,military modeling and simulation,and evaluating effectiveness of military system.
    JI Hong-jiang,born in 1987,master,engineer.His main research interests include military and industrial big data and artificial intelligence,information integration and modeling.
  • Supported by:
    This work was supported by the General Assembly Pre Research Project Fund(41402020501).

摘要: 针对以往系统故障诊断方法中存在的多指标相关问题以及考虑多重积分时计算复杂、效率低等问题,文中基于马氏距离(Mahalanobis Distance,MD)度量提出一种系统故障诊断方法,利用采集到的系统状态监控数据,计算观测样本与已知样本之间的马氏距离,根据距离大小的MD面积度量比较判断观测样本类别,对已知数据样本的马氏距离的分布与观测数据样本的马氏距离的分布的差异进行故障诊断。具体地,首先利用MD方法将多变量数据转换为单变量数据,排除多变量之间相关性的干扰,避免了利用多重积分求解多变量联合分布的复杂性以及不确定性;然后利用面积度量法比较单变量数据的累积分布函数之间的差异,根据定积分计算分布曲线之间的面积值,以面积值较小对应的样本故障类别作为观测数据的类别。通过将所提方法与常用故障诊断方法(BP神经网络、朴素贝叶斯)进行比较,证明了其简单有效,故障诊断正确率高,能够大大降低计算成本,并有效地提高故障诊断的效率。

关键词: 故障诊断, 累积分布函数, 马氏距离(MD), 面积度量

Abstract: In view of the multi-index related problems in previous fault diagnosis methods and the shortcomings of the calculated complication and low efficiency when considering multiple integrals,a system fault diagnosis method based on Mahalanobis Distance (MD) metrics is proposed to improve these problems.For the system performance state data monitored on a certain device,the proposed method is to calculate the MD area metric method to compare the distribution of the Mahalanobis Distances of the known data samples with the distribution of the Mahalanobis Distances of the observed data samples.Specifically,the MD method is firstly used to convert multivariate data into univariate data,and the correlation between multivariable is eliminated,and the complexity and uncertainty of multivariate joint distribution using multiple integrals are avoided.Then the area metric is used to compare the difference between the cumulative distribution functions of the univariate data,and the area value between the distribution curves is calculated according to the definite integral,and the smaller area value is the category of the sample fault.By comparing with common fault diagnosis methods (BP neural network and Naïve Bayes),it shows that the proposed method is simple and effective,the fault diagnosis rate is high,and the calculation cost is greatly reduced,and the system fault diagnosis efficiency is improved.

Key words: Area metric, Cumulative distribution function, Fault diagnosis, Mahalanobis distance (MD)

中图分类号: 

  • TP311
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