Skip to main content

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 321))

  • 3708 Accesses

Abstract

The note presents conditions to assure weak stability in the mean for a hysteresis Bouc-Wen model controlled by a proportional-integral controller subject to random failures. When a failure happens, the controller turns off and remains off for a while. After that the controller turns on and keeps on until the occurrence of the next failure. The failures occur according to a Poisson distributed process. A numerical example illustrates the result.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ikhouane, F., Rodellar, J.: On the hysteretic Bouc-Wen model. Nonlinear Dynamics 42(1), 63–78 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  2. Ikhouane, F.: Characterization of hysteresis processes. Math. Control Signals Syst. (2013), doi:10.1007/s00498-012-0099-6

    Google Scholar 

  3. Rochdi, Y., Giri, F., Ikhouane, F., Chaoui, F.Z., Rodellar, J.: Parametric identification of nonlinear hysteretic systems. Nonlinear Dynamics 58, 393–404 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  4. Ikhouane, F., Gomis, O.: A limit cycle approach for the parametric identification of hysteretic systems. Systems Control Lett. 57, 663–669 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  5. Ikhouane, F., Mañosa, V., Rodellar, J.: Dynamic properties of the hysteretic Bouc-Wen model. Systems Control Lett. 56, 197–205 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  6. Ikhouane, F., Rodellar, J.: A linear controller for hysteretic systems. IEEE Trans. Automat. Control 51(2), 340–344 (2006)

    Article  MathSciNet  Google Scholar 

  7. Gomis-Bellmunt, O., Ikhouane, F., Castell-Vilanova, P., Bergas-Jané, J.: Modeling and validation of a piezoelectric actuator. Electrical Engineering 89(8), 629–638 (2007)

    Article  Google Scholar 

  8. Ismail, M., Ikhouane, F., Rodellar, J.: The Bouc-Wen model: A survey. Arch. Comput. Methods Eng. 16, 161–188 (2009)

    Article  MATH  Google Scholar 

  9. Ikhouane, F., Rodellar, J.: Systems with hysteresis: Analysis, identification and control using the Bouc-Wenmodel. John Wiley & Sons, Chichester (2007)

    Book  Google Scholar 

  10. Oriol Gomis-Bellmunt, F.I., Montesinos-Miracle, D.: Control of Bouc-Wen hysteretic systems: Application to a piezoelectric actuator. In: 13th Power Electronics and Motion Control Conference, pp. 1670–1675 (2008)

    Google Scholar 

  11. Yao, G.Z., Yap, F.F., Chen, G., Li, W.H., Yeo, S.H.: MR damper and its application for semi-active control of vehicle suspension system. Mechatronics 12(7), 963–973 (2002)

    Article  Google Scholar 

  12. Ikhouane, F., Nosa, V.M., Rodellar, J.: Adaptive control of a hysteretic structural system. Automatica 41(2), 225–231 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. Ross, S.M.: Introduction to probability models. Acadmic Press (1985)

    Google Scholar 

  14. Chen, C.-T.: Linear System Theory and Design, 3rd edn. Oxford University Press, Inc., New York (1998)

    Google Scholar 

  15. Hirsch, M., Smale, S.: Differential Equations, Dynamical Systems, and Linear Algebra. Academic Press, Inc. (1974)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Lévano, E., Vargas, A.N. (2015). Control of a Hysteresis Model Subject to Random Failures. In: Moreira, A., Matos, A., Veiga, G. (eds) CONTROLO’2014 – Proceedings of the 11th Portuguese Conference on Automatic Control. Lecture Notes in Electrical Engineering, vol 321. Springer, Cham. https://doi.org/10.1007/978-3-319-10380-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-10380-8_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-10379-2

  • Online ISBN: 978-3-319-10380-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics