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Open AccessArticle

Permissible Area Analyses of Measurement Errors with Required Fault Diagnosability Performance

by Dong-Nian Jiang 1,2,* and Wei Li 1,2
College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
Key Laboratory of Gansu Advanced Control for Industrial Processes, Lanzhou 730050, China
Author to whom correspondence should be addressed.
Sensors 2019, 19(22), 4880;
Received: 14 September 2019 / Revised: 4 November 2019 / Accepted: 7 November 2019 / Published: 8 November 2019
(This article belongs to the Section Physical Sensors)
Fault diagnosability is the basis of fault diagnosis. Fault diagnosability evaluation refers to whether there is enough measurable information in the system to support the rapid and reliable detection of a fault. However, due to unavoidable measurement errors in a system, a quantitative evaluation index of system fault diagnosability is inadequate. In order to overcome the adverse effects of measurement errors, improve the accuracy of the quantitative evaluation of fault diagnosability, and improve the safety level of the system, a method for a permissible area analysis of measurement errors for a quantitative evaluation of fault diagnosability is proposed in this paper. Firstly, in order for the residuals obey normal distribution, a design method of the permissible area of measurement errors based on the Kullback–Leibler divergence (KLD) is given. Secondly, two key problems in calculating the KLD are solved by sparse kernel density estimation and the Monte Carlo method. Finally, the feasibility and validity of the method are analyzed through a case study. View Full-Text
Keywords: fault diagnosability; quantitative evaluation; Kullback–Leibler divergence fault diagnosability; quantitative evaluation; Kullback–Leibler divergence
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Jiang, D.-N.; Li, W. Permissible Area Analyses of Measurement Errors with Required Fault Diagnosability Performance. Sensors 2019, 19, 4880.

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