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Cascade Control for Time Delay Plants

  • Pavel Zítek
  • Vladimír Kučera
  • Tomáš Vyhlídal
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (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.

Keywords

Time Delay System Disturbance Rejection Crossover Frequency Internal Model Control Cascade Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Goodwin, G.C., Graebe, S.F., Salgado, M.E.: Control System Design. Prentice Hall, Englewood Cliffs (2001)Google Scholar
  2. 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)CrossRefGoogle Scholar
  3. 3.
    Leva, A., Donida, F.: Autotuning in cascaded systems based on a single relay experiment. Journal of Process Control 19(5), 896–905 (2009)CrossRefGoogle Scholar
  4. 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)CrossRefGoogle Scholar
  5. 5.
    Mirkin, L., Raskin, N.: Every stabilizing dead-time controller has an observer-predictor based structure. Automatica 39, 1747–1754 (2003)MathSciNetzbMATHCrossRefGoogle Scholar
  6. 6.
    Morari, M., Zafiriou, E.: Robust Process Control. Prentice Hall, Englewood Cliffs (1989)Google Scholar
  7. 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. 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. 9.
    Shinskey, F.G.: Process Control Systems: Application, Design and Adjustment. McGraw-Hill, New York (1998)Google Scholar
  10. 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)MathSciNetzbMATHCrossRefGoogle Scholar
  11. 11.
    Zítek, P., Hlava, J.: Algebraic design of anisochronic internal model control of time-delay systems. Control Engineering Practice 9, 501–516 (2001)CrossRefGoogle Scholar
  12. 12.
    Zítek, P., Kučera, V.: Algebraic design of anisochronic controllers for time delay systems. Int. J. Control 76, 1654–1665 (2003)CrossRefGoogle Scholar
  13. 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

Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  • Pavel Zítek
    • 1
  • Vladimír Kučera
    • 2
    • 3
  • Tomáš Vyhlídal
    • 1
  1. 1.Centre for Applied Cybernetics and Dept. of Instrumentation and Control Eng., Faculty of Mechanical Eng.Czech Technical University in PraguePraha 6Czech Republic
  2. 2.Centre for Applied Cybernetics, Faculty of Electrical Eng.Czech Technical University in PraguePraha 6Czech Republic
  3. 3.Institute of Information Theory and Automationv.v.i., Academy of Sciences of the Czech RepublicPraha 8Czech Republic

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