Skip to main content

Cascade Control for Time Delay Plants

  • Chapter
  • First Online:
Time Delay Systems: Methods, Applications and New Trends

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 423))

Abstract

The cascade control architecture is a standard solution in control engineering practice for industrial plants with considerable time delays. In this paper, an affine parameterization based design of cascade controllers for time delay plants is presented. The design rests on the use of the so-called quasi-integrating meromorphic function used to prescribe the desired open-loop behaviour. Due to the parameterization approach both the slave and master controllers are obtained as time delay systems. Unlike most of relevant papers on the subject, the primary controlled output is not considered to be directly dependent on the secondary one. The only property required from the secondary output is its markedly faster response to disturbances to be compensated for.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Goodwin, G.C., Graebe, S.F., Salgado, M.E.: Control System Design. Prentice Hall, Englewood Cliffs (2001)

    Google Scholar 

  2. Kaya, I., Atherton, D.P.: Use of Smith Predictor in the outer loop for Cascaded Control of Unstable and Integrating Processes. Industrial and Engineering Chemistry Research 47(6), 1981–1987 (2008)

    Article  Google Scholar 

  3. Leva, A., Donida, F.: Autotuning in cascaded systems based on a single relay experiment. Journal of Process Control 19(5), 896–905 (2009)

    Article  Google Scholar 

  4. Mirkin, L.: On the extraction of dead-time controllers and estimators from delay-free parameterizations. IEEE Trans. Automatic Control 48(5), 543–553 (2003)

    Article  Google Scholar 

  5. Mirkin, L., Raskin, N.: Every stabilizing dead-time controller has an observer-predictor based structure. Automatica 39, 1747–1754 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Morari, M., Zafiriou, E.: Robust Process Control. Prentice Hall, Englewood Cliffs (1989)

    Google Scholar 

  7. Pekař, L., Prokop, R., Prokopová: Design of controllers for delayed integration processes using RMS ring. In: Mediterranean Conference on Control and Automation - Conference Proceedings, MED 2008, art. no. 4602062, pp. 146–151 (2008)

    Google Scholar 

  8. Pekař, L., Prokop, R., Matušu, R.: Algebraic control of unstable delayed first order systems using RQ-meromorphic functions. Mediterranean Conference on Control and Automation, MED, art. no. 4433754 (2007)

    Google Scholar 

  9. Shinskey, F.G.: Process Control Systems: Application, Design and Adjustment. McGraw-Hill, New York (1998)

    Google Scholar 

  10. Zhang, W., Allgower, F., Liu, T.: Controller parameterization for SISO and MIMO plants with time delay. Systems and Control Letters 55, 794–802 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  11. Zítek, P., Hlava, J.: Algebraic design of anisochronic internal model control of time-delay systems. Control Engineering Practice 9, 501–516 (2001)

    Article  Google Scholar 

  12. Zítek, P., Kučera, V.: Algebraic design of anisochronic controllers for time delay systems. Int. J. Control 76, 1654–1665 (2003)

    Article  Google Scholar 

  13. Zítek, P., Kučera, V., Vyhlídal, T.: Affine Parameterization of Cascade Control for Time Delay Plants. In: Proc. of 9th IFAC Workshop on Time Delay Systems, Prague, IFAC-PapersOnline, Time Delay Systems, vol. 9 (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pavel Zítek .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag GmbH Berlin Heidelberg

About this chapter

Cite this chapter

Zítek, P., Kučera, V., Vyhlídal, T. (2012). Cascade Control for Time Delay Plants. In: Sipahi, R., Vyhlídal, T., Niculescu, SI., Pepe, P. (eds) Time Delay Systems: Methods, Applications and New Trends. Lecture Notes in Control and Information Sciences, vol 423. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25221-1_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25221-1_26

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25220-4

  • Online ISBN: 978-3-642-25221-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics