Input reconstruction by means of system inversion: A geometric approach to fault detection and isolation in nonlinear systems

András Edelmayer; József Bokor; Zoltán Szabó; Ferenc Szigeti

International Journal of Applied Mathematics and Computer Science (2004)

  • Volume: 14, Issue: 2, page 189-199
  • ISSN: 1641-876X

Abstract

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In this paper the classical detection filter design problem is considered as an input reconstruction problem. Input reconstruction is viewed as a dynamic inversion problem. This approach is based on the existence of the left inverse and arrives at detector architectures whose outputs are the fault signals while the inputs are the measured system inputs and outputs and possibly their time derivatives. The paper gives a brief summary of the properties and existence of the inverse for linear and nonlinear multivariable systems. A view of the inversion-based input reconstruction with special emphasis on the aspects of fault detection and isolation by using invariant subspaces and the results of classical geometrical systems theory is provided. The applicability of the idea to fault reconstruction is demonstrated through examples.

How to cite

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Edelmayer, András, et al. "Input reconstruction by means of system inversion: A geometric approach to fault detection and isolation in nonlinear systems." International Journal of Applied Mathematics and Computer Science 14.2 (2004): 189-199. <http://eudml.org/doc/207690>.

@article{Edelmayer2004,
abstract = {In this paper the classical detection filter design problem is considered as an input reconstruction problem. Input reconstruction is viewed as a dynamic inversion problem. This approach is based on the existence of the left inverse and arrives at detector architectures whose outputs are the fault signals while the inputs are the measured system inputs and outputs and possibly their time derivatives. The paper gives a brief summary of the properties and existence of the inverse for linear and nonlinear multivariable systems. A view of the inversion-based input reconstruction with special emphasis on the aspects of fault detection and isolation by using invariant subspaces and the results of classical geometrical systems theory is provided. The applicability of the idea to fault reconstruction is demonstrated through examples.},
author = {Edelmayer, András, Bokor, József, Szabó, Zoltán, Szigeti, Ferenc},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {system inversion; input reconstruction; fault detection and isolation; nonlinear systems; linear systems; nonlinear system},
language = {eng},
number = {2},
pages = {189-199},
title = {Input reconstruction by means of system inversion: A geometric approach to fault detection and isolation in nonlinear systems},
url = {http://eudml.org/doc/207690},
volume = {14},
year = {2004},
}

TY - JOUR
AU - Edelmayer, András
AU - Bokor, József
AU - Szabó, Zoltán
AU - Szigeti, Ferenc
TI - Input reconstruction by means of system inversion: A geometric approach to fault detection and isolation in nonlinear systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2004
VL - 14
IS - 2
SP - 189
EP - 199
AB - In this paper the classical detection filter design problem is considered as an input reconstruction problem. Input reconstruction is viewed as a dynamic inversion problem. This approach is based on the existence of the left inverse and arrives at detector architectures whose outputs are the fault signals while the inputs are the measured system inputs and outputs and possibly their time derivatives. The paper gives a brief summary of the properties and existence of the inverse for linear and nonlinear multivariable systems. A view of the inversion-based input reconstruction with special emphasis on the aspects of fault detection and isolation by using invariant subspaces and the results of classical geometrical systems theory is provided. The applicability of the idea to fault reconstruction is demonstrated through examples.
LA - eng
KW - system inversion; input reconstruction; fault detection and isolation; nonlinear systems; linear systems; nonlinear system
UR - http://eudml.org/doc/207690
ER -

References

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Citations in EuDML Documents

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  1. Alexey Shumsky, Alexey Zhirabok, Nonlinear diagnostic filter design: algebraic and geometric points of view
  2. Christopher Edwards, Halim Alwi, Chee Pin Tan, Sliding mode methods for fault detection and fault tolerant control with application to aerospace systems
  3. Wei Chen, Abdul Q. Khan, Muhammmad Abid, Steven X. Ding, Integrated design of observer based fault detection for a class of uncertain nonlinear systems
  4. Péter Gáspár, Zoltán Szabó, József Bokor, LPV design of fault-tolerant control for road vehicles
  5. Wojciech P. Hunek, Krzysztof J. Latawiec, A study on new right/left inverses of nonsquare polynomial matrices

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