Movatterモバイル変換


[0]ホーム

URL:


Skip to main content

Advertisement

Springer Nature Link
Log in

Detection of State-Multiplicative Faults in Discrete-Time Linear Systems

  • Conference paper
  • First Online:

Part of the book series:Advances in Intelligent Systems and Computing ((AISC,volume 1196))

  • 1454Accesses

Abstract

The conditions for observer based residual filter design for linear discrete-time state-multiplicative systems are presented in the paper. With respect to the residual signal’s time evolution, as well as to its robustness, the design problem is stated in terms of linear matrix inequalities (LMI). To expand the standard LMI formulation, norm bounds on disturbance and, in particular, a new characterisation of the norm boundaries of the multiplicative faults are projected into enhanced bounded real lemma structure of LMI. With given restrictions, the design steps are revealed in the example for projecting the state estimation error to fault residuals.

This is a preview of subscription content,log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 22879
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 28599
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Similar content being viewed by others

References

  1. Chiang, L.H., Russell, E.L., Braatz, R.D.: Fault Detection and Diagnosis in Industrial Systems. Springer, London (2001).https://doi.org/10.1007/978-1-4471-0347-9

    Book MATH  Google Scholar 

  2. Ellis, G.: Observers in Control Systems. A Practical Guide. Academic Press, San Diego (2002)

    Google Scholar 

  3. Ferdowsi, H., Jagannathan, S.: Unified model-based fault diagnosis scheme for nonlinear discrete-time systems with additive and multiplicative faults. In: Proceedings 50th IEEE Conference on Decision and Control and European Control Conference CDC-ECC 2011, Orlando, USA, pp. 1570–1575 (2011).https://doi.org/10.1109/CDC.2011.6161292

  4. Filasová, A., Krokavec, D., Liššinský, P.: Conditions with D-stability circle area in design of observer-based fault estimation. Appl. Math. Sci.10(35), 1705–1717 (2016).https://doi.org/10.12988/ams.2016.63112

    Article  Google Scholar 

  5. Gao, Z.: Fault estimation and fault-tolerant control for discrete-time dynamic systems. IEEE Tran. Ind. Electron.62(4), 3874–3884 (2015).https://doi.org/10.1109/TIE.2015.2392720

    Article  Google Scholar 

  6. Gao, C., Duan, G.: Robust adaptive fault estimation for a class of nonlinear systems subject to multiplicative faults. Circuits Syst. Sig. Proces.31(6), 2035–2046 (2012).https://doi.org/10.1007/s00034-012-9434-x

    Article MathSciNet MATH  Google Scholar 

  7. Gershon, E., Shaked, U., Yaesh, I.: H\(_{\infty }\) Control and Estimation of State-Multiplicative Linear Systems. Springer, London (2005).https://doi.org/10.1007/b103068

    Book MATH  Google Scholar 

  8. Gertler, J.: Fault Detection and Diagnosis in Engineering Systems. CRC Press, Boca Raton (1998)

    Google Scholar 

  9. Kim, K.S., Rew, K.H.: Reduced order disturbance observer for discrete-time linear systems. Automatica49(4), 968–975 (2013).https://doi.org/10.1016/j.automatica.2013.01.014

    Article MathSciNet MATH  Google Scholar 

  10. Korovin, S.K., Fomichev, V.V.: State Observers for Linear Systems with Uncertainty. Walter de Gruyter, Berlin (2009)

    Book  Google Scholar 

  11. Krokavec, D., Filasová, A.: H\(_{\infty }\) norm principle in residual filter design for discrete-time linear positive systems. Eur. J. Control45, 17–29 (2019).https://doi.org/10.1016/j.ejcon.2018.10.001

    Article MathSciNet MATH  Google Scholar 

  12. Krokavec, D., Filasová, A.: On fault detection for discrete-time linear state-multiplicative systems with uncorrelated multiplicative faults. In: Proceedings 6th International Conference on Control, Decision and Information Technologies CoDIT 2019, Paris, France, pp. 894–899 (2019).https://doi.org/10.1109/CoDIT.2019.8820338

  13. Lin, Y., Stadtherr, M.A.: Fault detection in continuous-time systems with uncertain parameters. In: Proceedings American Control Conference ACC 2007, New York, USA, pp. 3216–3221 (2007).https://doi.org/10.1109/ACC.2007.4282164

  14. Luenberger, D.G.: Introduction to Dynamic Systems. Theory, Models and Applications. Wiley, New York (1979)

    MATH  Google Scholar 

  15. Peaucelle, D., Henrion, D., Labit, Y., Taitz, K.: User’s Guide for SeDuMi Interface 1.04, LAAS-CNRS, Toulouse (2002)

    Google Scholar 

Download references

Acknowledgment

The work presented in this paper was supported by VEGA, the Grant Agency of the Ministry of Education and the Academy of Science of Slovak Republic under Grant No. 1/0608/17. This support is very gratefully acknowledged.

Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering and Informatics, Department of Cybernetics and Artificial Intelligence, Technical University of Košice, Letná, 04200, Košice, Slovakia

    Dušan Krokavec & Anna Filasová

Authors
  1. Dušan Krokavec

    You can also search for this author inPubMed Google Scholar

  2. Anna Filasová

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence toDušan Krokavec.

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Andrzej Bartoszewicz

  2. Institute of Automatic Control, Lodz University of Technology, Lodz, Poland

    Jacek Kabziński

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

Rights and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Krokavec, D., Filasová, A. (2020). Detection of State-Multiplicative Faults in Discrete-Time Linear Systems. In: Bartoszewicz, A., Kabziński, J., Kacprzyk, J. (eds) Advanced, Contemporary Control. Advances in Intelligent Systems and Computing, vol 1196. Springer, Cham. https://doi.org/10.1007/978-3-030-50936-1_118

Download citation

Publish with us

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 22879
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 28599
Price includes VAT (Japan)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide -see info

Tax calculation will be finalised at checkout

Purchases are for personal use only


[8]ページ先頭

©2009-2025 Movatter.jp