Redundancy relations for fault diagnosis in nonlinear uncertain systems

Alexey Shumsky

International Journal of Applied Mathematics and Computer Science (2007)

  • Volume: 17, Issue: 4, page 477-489
  • ISSN: 1641-876X

Abstract

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The problem of fault detection and isolation in nonlinear uncertain systems is studied within the scope of the analytical redundancy concept. The problem solution involves checking the redundancy relations existing among measured system inputs and outputs. A novel method is proposed for constructing redundancy relations based on system models described by differential equations whose right-hand sides are polynomials. The method involves a nonlinear transformation of the initial system model into a strict feedback form. Algebraic and geometric tools are used for this transformation. The features of the method are made particular for uncertain systems with a linear structure.

How to cite

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Shumsky, Alexey. "Redundancy relations for fault diagnosis in nonlinear uncertain systems." International Journal of Applied Mathematics and Computer Science 17.4 (2007): 477-489. <http://eudml.org/doc/207853>.

@article{Shumsky2007,
abstract = {The problem of fault detection and isolation in nonlinear uncertain systems is studied within the scope of the analytical redundancy concept. The problem solution involves checking the redundancy relations existing among measured system inputs and outputs. A novel method is proposed for constructing redundancy relations based on system models described by differential equations whose right-hand sides are polynomials. The method involves a nonlinear transformation of the initial system model into a strict feedback form. Algebraic and geometric tools are used for this transformation. The features of the method are made particular for uncertain systems with a linear structure.},
author = {Shumsky, Alexey},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {full decoupling; algebraic approach; fault detection and isolation; redundancy relations; nonlinear systems; geometric approach},
language = {eng},
number = {4},
pages = {477-489},
title = {Redundancy relations for fault diagnosis in nonlinear uncertain systems},
url = {http://eudml.org/doc/207853},
volume = {17},
year = {2007},
}

TY - JOUR
AU - Shumsky, Alexey
TI - Redundancy relations for fault diagnosis in nonlinear uncertain systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2007
VL - 17
IS - 4
SP - 477
EP - 489
AB - The problem of fault detection and isolation in nonlinear uncertain systems is studied within the scope of the analytical redundancy concept. The problem solution involves checking the redundancy relations existing among measured system inputs and outputs. A novel method is proposed for constructing redundancy relations based on system models described by differential equations whose right-hand sides are polynomials. The method involves a nonlinear transformation of the initial system model into a strict feedback form. Algebraic and geometric tools are used for this transformation. The features of the method are made particular for uncertain systems with a linear structure.
LA - eng
KW - full decoupling; algebraic approach; fault detection and isolation; redundancy relations; nonlinear systems; geometric approach
UR - http://eudml.org/doc/207853
ER -

References

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Citations in EuDML Documents

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  1. Abed Alrahim Yassine, Stéphane Ploix, Jean-Marie Flaus, A method for sensor placement taking into account diagnosability criteria
  2. Dezhi Xu, Bin Jiang, Peng Shi, Nonlinear actuator fault estimation observer: An inverse system approach via a T-S fuzzy model
  3. Denis Berdjag, Vincent Cocquempot, Cyrille Christophe, Alexey Shumsky, Alexey Zhirabok, Algebraic approach for model decomposition: Application to fault detection and isolation in discrete-event systems
  4. Wei Chen, Abdul Q. Khan, Muhammmad Abid, Steven X. Ding, Integrated design of observer based fault detection for a class of uncertain nonlinear systems

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