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A Derivation of the Minimal Polynomial Basis Approach to Linear Residual Generation
Linköping University, Department of Electrical Engineering, Vehicular Systems. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Vehicular Systems. Linköping University, The Institute of Technology.
2001 (English)Report (Other academic)
Abstract [en]

A fundamental part of a fault diagnosis system is the residual generator. Here a new method, the minimal polynomial basis approach, for design of residual generators for linear systems, is presented. The residual generation problem is transformed into a problem of finding polynomial bases for null-spaces of polynomial matrices. This is a standard problem in established linear systems theory, which means that numerically efficient computational tools are generally available. It is shown that the minimal polynomial basis approach can find all possible residual generators and explicitly those of minimal order.

Place, publisher, year, edition, pages
Linköping: Department of Electrical Engineering , 2001. , p. 11
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2330
Keywords [en]
Fault detection, diagnosis, polynomial methods, decoupling, disturbance rejection
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:liu:diva-139759OAI: oai:DiVA.org:liu-139759DiVA, id: diva2:1131554
Available from: 2017-08-15 Created: 2017-08-15 Last updated: 2017-08-15Bibliographically approved

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A Derivation of the Minimal Polynomial Basis Approach to Linear Residual Generation(188 kB)21 downloads
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf