Double fault distinguishability in linear systems

Jan Maciej Kościelny; Zofia M. Łabęda-Grudziak

International Journal of Applied Mathematics and Computer Science (2013)

  • Volume: 23, Issue: 2, page 395-406
  • ISSN: 1641-876X

Abstract

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This paper develops a new approach to double fault isolation in linear systems with the aid of directional residuals. The method of residual generation for computational as well as internal forms is applied. Isolation of double faults is based on the investigation of the coplanarity of the residual vector with the planes defined by the individual pairs of directional fault vectors. Additionally, the method of designing secondary residuals, which are structured and directional, is proposed. These transformations allow achieving various isolation properties. It is shown that double fault distinguishability can be improved by decomposing the observed residual vector along the response directions. The described methods are illustrated with a simple computational example.

How to cite

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Jan Maciej Kościelny, and Zofia M. Łabęda-Grudziak. "Double fault distinguishability in linear systems." International Journal of Applied Mathematics and Computer Science 23.2 (2013): 395-406. <http://eudml.org/doc/257110>.

@article{JanMaciejKościelny2013,
abstract = {This paper develops a new approach to double fault isolation in linear systems with the aid of directional residuals. The method of residual generation for computational as well as internal forms is applied. Isolation of double faults is based on the investigation of the coplanarity of the residual vector with the planes defined by the individual pairs of directional fault vectors. Additionally, the method of designing secondary residuals, which are structured and directional, is proposed. These transformations allow achieving various isolation properties. It is shown that double fault distinguishability can be improved by decomposing the observed residual vector along the response directions. The described methods are illustrated with a simple computational example.},
author = {Jan Maciej Kościelny, Zofia M. Łabęda-Grudziak},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {faults isolation; double fault; fault distinguishability; directional and structured residuals; secondary residuals; linear systems},
language = {eng},
number = {2},
pages = {395-406},
title = {Double fault distinguishability in linear systems},
url = {http://eudml.org/doc/257110},
volume = {23},
year = {2013},
}

TY - JOUR
AU - Jan Maciej Kościelny
AU - Zofia M. Łabęda-Grudziak
TI - Double fault distinguishability in linear systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2013
VL - 23
IS - 2
SP - 395
EP - 406
AB - This paper develops a new approach to double fault isolation in linear systems with the aid of directional residuals. The method of residual generation for computational as well as internal forms is applied. Isolation of double faults is based on the investigation of the coplanarity of the residual vector with the planes defined by the individual pairs of directional fault vectors. Additionally, the method of designing secondary residuals, which are structured and directional, is proposed. These transformations allow achieving various isolation properties. It is shown that double fault distinguishability can be improved by decomposing the observed residual vector along the response directions. The described methods are illustrated with a simple computational example.
LA - eng
KW - faults isolation; double fault; fault distinguishability; directional and structured residuals; secondary residuals; linear systems
UR - http://eudml.org/doc/257110
ER -

References

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