Enhanced performance of shewhart charts using multiscale representation

M. Ziyan Sheriff, Mohamed N. Nounou*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

Monitoring charts play an essential role in statistical process control. Shewhart charts are commonly used due to their computational simplicity, and have seen many extensions that attempt to improve their performance. Most univariate charts operate under the assumption that data follow a normal distribution, are independent and contain only a moderate level of noise. Unfortunately, most practical data violate one or more of these assumptions. Wavelet-based multiscale representation of data possess characteristics that can help address these assumptions violations, and may be exploited to improve the performance of the conventional Shewhart chart. In this paper, a multiscale Shewhart chart is developed to deal with violation of these assumptions. The advantages brought forward by the developed multiscale Shewhart chart fault detection algorithm are illustrated through simulated examples. The results clearly demonstrate that the developed method is able to provide lower missed detection and comparable false alarm rates under violation of the above mentioned assumptions.

Original languageEnglish
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6923-6928
Number of pages6
ISBN (Electronic)9781467386821
DOIs
Publication statusPublished - 28 Jul 2016
Externally publishedYes
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: 6 Jul 20168 Jul 2016

Publication series

NameProceedings of the American Control Conference
Volume2016-July
ISSN (Print)0743-1619

Conference

Conference2016 American Control Conference, ACC 2016
Country/TerritoryUnited States
CityBoston
Period6/07/168/07/16

Keywords

  • Multiscale
  • Shewhart charts
  • Wavelets

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