Switched <img width="58" height="55" src="http://article.sciencepublishinggroup.com/journal/248/2481135/image001.png" /> Detection Filter Design for Nonlinear Systems

Zsolt Horváth; András Edelmayer

doi:doi:10.11648/j.ajmie.20190401.11

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Switched Detection Filter Design for Nonlinear Systems

Zsolt Horváth, András Edelmayer

Published in American Journal of Mechanical and Industrial Engineering (Volume 4, Issue 1)

Received: 26 February 2019 Accepted: 3 April 2019 Published: 7 May 2019

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Abstract

This paper presents the application of the concept of detection filters to the detection of faults in nonlinear systems. The nonlinear dynamics in specific meaningful points of the operation is approximated by means of a matched array of linear systems. Then, linear filters are designed for each particular subsystem and a switching scheme is applied to carefully choose the most suitable filter regarding the operational characteristics of the plant in real time. Stability of the switching process is guaranteed by keeping the switching time between two consecutive switching large enough to ensure a proper falloff of filter transients. Therefore, apart from the solution of the standard linear-quadratic optimization problem represented by the detection filter design problem one has to derive sufficient conditions for the observation error dynamics to be globally asymptotically stable during switching. The goal is to find a common minimum of the switching time to each specific level calculated separately for every single filter that can be used as a restriction for the switching signal. The idea is demonstrated with the application to the detection of faults in the air path of a diesel engine. The results can be considered as the extension of the standard linear fault detection filtering problem to nonlinear systems.

Published in	American Journal of Mechanical and Industrial Engineering (Volume 4, Issue 1)
DOI	10.11648/j.ajmie.20190401.11
Page(s)	1-10
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Switched Linear System, Dwell Time, Switched Fault Detection Filter, MFARE

References

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[31]	Horváth Zsolt, Edelmayer András. LTI-modelling of the Air Path of Turbocharged Diesel Engine for Fault Detection and Isolation. Invited paper in: Mechanical Engineering Letters. Vol. 14, ISSN 2060-3789, Gödöllő, 2016, pp. 172-188.

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APA Style

Zsolt Horváth, András Edelmayer. (2019). Switched Detection Filter Design for Nonlinear Systems. American Journal of Mechanical and Industrial Engineering, 4(1), 1-10. https://doi.org/10.11648/j.ajmie.20190401.11

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ACS Style

Zsolt Horváth; András Edelmayer. Switched Detection Filter Design for Nonlinear Systems. Am. J. Mech. Ind. Eng. 2019, 4(1), 1-10. doi: 10.11648/j.ajmie.20190401.11

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AMA Style

Zsolt Horváth, András Edelmayer. Switched Detection Filter Design for Nonlinear Systems. Am J Mech Ind Eng. 2019;4(1):1-10. doi: 10.11648/j.ajmie.20190401.11

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@article{10.11648/j.ajmie.20190401.11,
  author = {Zsolt Horváth and András Edelmayer},
  title = {Switched  Detection Filter Design for Nonlinear Systems},
  journal = {American Journal of Mechanical and Industrial Engineering},
  volume = {4},
  number = {1},
  pages = {1-10},
  doi = {10.11648/j.ajmie.20190401.11},
  url = {https://doi.org/10.11648/j.ajmie.20190401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmie.20190401.11},
  abstract = {This paper presents the application of the concept of  detection filters to the detection of faults in nonlinear systems. The nonlinear dynamics in specific meaningful points of the operation is approximated by means of a matched array of linear systems. Then, linear  filters are designed for each particular subsystem and a switching scheme is applied to carefully choose the most suitable filter regarding the operational characteristics of the plant in real time. Stability of the switching process is guaranteed by keeping the switching time between two consecutive switching large enough to ensure a proper falloff of filter transients. Therefore, apart from the solution of the standard linear-quadratic optimization problem represented by the  detection filter design problem one has to derive sufficient conditions for the observation error dynamics to be globally asymptotically stable during switching. The goal is to find a common minimum of the switching time to each specific  level calculated separately for every single filter that can be used as a restriction for the switching signal. The idea is demonstrated with the application to the detection of faults in the air path of a diesel engine. The results can be considered as the extension of the standard linear  fault detection filtering problem to nonlinear systems.},
 year = {2019}
}

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TY  - JOUR
T1  - Switched  Detection Filter Design for Nonlinear Systems
AU  - Zsolt Horváth
AU  - András Edelmayer
Y1  - 2019/05/07
PY  - 2019
N1  - https://doi.org/10.11648/j.ajmie.20190401.11
DO  - 10.11648/j.ajmie.20190401.11
T2  - American Journal of Mechanical and Industrial Engineering
JF  - American Journal of Mechanical and Industrial Engineering
JO  - American Journal of Mechanical and Industrial Engineering
SP  - 1
EP  - 10
PB  - Science Publishing Group
SN  - 2575-6060
UR  - https://doi.org/10.11648/j.ajmie.20190401.11
AB  - This paper presents the application of the concept of  detection filters to the detection of faults in nonlinear systems. The nonlinear dynamics in specific meaningful points of the operation is approximated by means of a matched array of linear systems. Then, linear  filters are designed for each particular subsystem and a switching scheme is applied to carefully choose the most suitable filter regarding the operational characteristics of the plant in real time. Stability of the switching process is guaranteed by keeping the switching time between two consecutive switching large enough to ensure a proper falloff of filter transients. Therefore, apart from the solution of the standard linear-quadratic optimization problem represented by the  detection filter design problem one has to derive sufficient conditions for the observation error dynamics to be globally asymptotically stable during switching. The goal is to find a common minimum of the switching time to each specific  level calculated separately for every single filter that can be used as a restriction for the switching signal. The idea is demonstrated with the application to the detection of faults in the air path of a diesel engine. The results can be considered as the extension of the standard linear  fault detection filtering problem to nonlinear systems.
VL  - 4
IS  - 1
ER  -

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Author Information

Zsolt Horváth

School of Postgraduate Studies of Multidisciplinary Sciences, Faculty of Technical Sciences, Széchenyi István University, Gy?r, Hungary
András Edelmayer

Department of Informatics Engineering, Faculty of Technical Sciences, Széchenyi István University, Gy?r, Hungary

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Plain Text BibTeX RIS

APA Style

Zsolt Horváth, András Edelmayer. (2019). Switched Detection Filter Design for Nonlinear Systems. American Journal of Mechanical and Industrial Engineering, 4(1), 1-10. https://doi.org/10.11648/j.ajmie.20190401.11

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ACS Style

Zsolt Horváth; András Edelmayer. Switched Detection Filter Design for Nonlinear Systems. Am. J. Mech. Ind. Eng. 2019, 4(1), 1-10. doi: 10.11648/j.ajmie.20190401.11

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AMA Style

Zsolt Horváth, András Edelmayer. Switched Detection Filter Design for Nonlinear Systems. Am J Mech Ind Eng. 2019;4(1):1-10. doi: 10.11648/j.ajmie.20190401.11

Copy | Download

@article{10.11648/j.ajmie.20190401.11,
  author = {Zsolt Horváth and András Edelmayer},
  title = {Switched  Detection Filter Design for Nonlinear Systems},
  journal = {American Journal of Mechanical and Industrial Engineering},
  volume = {4},
  number = {1},
  pages = {1-10},
  doi = {10.11648/j.ajmie.20190401.11},
  url = {https://doi.org/10.11648/j.ajmie.20190401.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmie.20190401.11},
  abstract = {This paper presents the application of the concept of  detection filters to the detection of faults in nonlinear systems. The nonlinear dynamics in specific meaningful points of the operation is approximated by means of a matched array of linear systems. Then, linear  filters are designed for each particular subsystem and a switching scheme is applied to carefully choose the most suitable filter regarding the operational characteristics of the plant in real time. Stability of the switching process is guaranteed by keeping the switching time between two consecutive switching large enough to ensure a proper falloff of filter transients. Therefore, apart from the solution of the standard linear-quadratic optimization problem represented by the  detection filter design problem one has to derive sufficient conditions for the observation error dynamics to be globally asymptotically stable during switching. The goal is to find a common minimum of the switching time to each specific  level calculated separately for every single filter that can be used as a restriction for the switching signal. The idea is demonstrated with the application to the detection of faults in the air path of a diesel engine. The results can be considered as the extension of the standard linear  fault detection filtering problem to nonlinear systems.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Switched  Detection Filter Design for Nonlinear Systems
AU  - Zsolt Horváth
AU  - András Edelmayer
Y1  - 2019/05/07
PY  - 2019
N1  - https://doi.org/10.11648/j.ajmie.20190401.11
DO  - 10.11648/j.ajmie.20190401.11
T2  - American Journal of Mechanical and Industrial Engineering
JF  - American Journal of Mechanical and Industrial Engineering
JO  - American Journal of Mechanical and Industrial Engineering
SP  - 1
EP  - 10
PB  - Science Publishing Group
SN  - 2575-6060
UR  - https://doi.org/10.11648/j.ajmie.20190401.11
AB  - This paper presents the application of the concept of  detection filters to the detection of faults in nonlinear systems. The nonlinear dynamics in specific meaningful points of the operation is approximated by means of a matched array of linear systems. Then, linear  filters are designed for each particular subsystem and a switching scheme is applied to carefully choose the most suitable filter regarding the operational characteristics of the plant in real time. Stability of the switching process is guaranteed by keeping the switching time between two consecutive switching large enough to ensure a proper falloff of filter transients. Therefore, apart from the solution of the standard linear-quadratic optimization problem represented by the  detection filter design problem one has to derive sufficient conditions for the observation error dynamics to be globally asymptotically stable during switching. The goal is to find a common minimum of the switching time to each specific  level calculated separately for every single filter that can be used as a restriction for the switching signal. The idea is demonstrated with the application to the detection of faults in the air path of a diesel engine. The results can be considered as the extension of the standard linear  fault detection filtering problem to nonlinear systems.
VL  - 4
IS  - 1
ER  -

Copy | Download