Skip to main content

Comparing Algebraic and Constrained Pole Assignment Controllers for a Thermal System

  • Conference paper
  • 1112 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5717))

Abstract

This paper compares two approaches to the control design for a thermal plant. This is dominant by two modes of the heat transfer - the fast mode (radiation) and the slow mode (conduction), by the nonlinear state dependent dynamics and by necessity to apply robust control design approaches. The algebraic and the constrained pole assignment controllers are compared both from the point of view of the nominal tuning required for achieving fastest possible monotonic transient responses and from the availability and easy of the controller robustification. The real experiment is used to verify the results.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Åström, K.J., Panagopoulos, H., Hägglund, T.: Design of PI Controllers based on Non-Convex Optimization. Automatica 34, 585–601 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  2. Åström, K.J., Hägglund, T.: Benchmark Systems for PID Control. In: IFAC Workshop on Digital Control - Past, present and future of PID Control, Terassa, Spain, pp. 181–182 (2000)

    Google Scholar 

  3. Huba, M.: Constrained pole assignment control. In: Menini, L., Zaccarian, L., Abdallah, Ch.T. (eds.) Current Trends in Nonlinear Systems and Control, pp. 163–183. Boston Birkhäuser, Basel (2006)

    Chapter  Google Scholar 

  4. Huba, M., Kurčík, P., Kamenský, M.: Thermo-Optical Plant uDAQ28/LT Technical and User Manual, STU Bratislava (2006)

    Google Scholar 

  5. Huba, M., Šimunek, M.: Modular Approach to Teaching PID Control. IEEE Trans. on Industrial Electronics 54(6), 3112–3121 (2007)

    Article  Google Scholar 

  6. Huba, M., Vrančič, D.: Constrained control of the plant with two different modes. In: Int. Conf. Process Control 2007, Strbske Pleso, Hight Tatras (2007)

    Google Scholar 

  7. Jelenčiak, F., Mikleš, J.: Process identification: Nonlinear systems. In: Proceeding of the 13th Int. Conf. Process Control 2001, Strbske Pleso, pp. 80–89 (2001)

    Google Scholar 

  8. Jelenčiak, F., Kurčík, P., Huba, M.: Thermal plant for education and training. In: IEEE Int. Conf. ERK 2007, Portorož, Slovenia (2007)

    Google Scholar 

  9. Jelenčiak, F., Huba, M., Masár, I., Gerke, M.: Constrained pole assignement control for nonlinear plant. In: Buletinul institutului politehnic Iasi Tomul Liv (LVIII), FASC, Electrotechnicǎ, energeticǎ, electronicǎ, vol. 4, pp. 547–554 (2008)

    Google Scholar 

  10. Jelenčiak, F.: Identification of nonlinear plants by modified method of consecutive integrals. PhD Thesis, STU Bratislava (2008) (in Slovak)

    Google Scholar 

  11. Kamenský, M., Kurčík, P., Huba, M.: Scicos possibilities for communication with real processes. In: IEEE Int. Conf. ERK2007, Portorož, Slovenia, pp. 31–33 (2007)

    Google Scholar 

  12. Kulhavy, R., Karny, M.: Tracking of slowly varying parameters by directional forgetting. In: Proc. 9th IFAC World Congr., Budapest, Hungary, pp. 79–83 (1984)

    Google Scholar 

  13. Ljung, L.: System Identification: Theory for User. Prentice-Hall, Englewood Cliffs (1987)

    MATH  Google Scholar 

  14. Matko, D., Kavsek-Biasizzo, K., Skrjanc, I., Music, G.: Generalized predictive control of a thermal plant using fuzzy model. In: Proc. American Control Conf., vol. 3, pp. 2053–2057 (2000)

    Google Scholar 

  15. Matuš, R., Prokop, R.: Single-Parameter Tuning of PI Controllers: From Theory to Practice. In: Proc. 17th IFAC World Congress Seoul, pp. 4964–4969 (2008)

    Google Scholar 

  16. Milanic, S., Karba, R.: Modelling the Thermal Plant with Artificial Neural Networks. In: Proc. 4th European Congress on Intelligent Techniques and Soft Computing, Aachen, Germany, vol. 1, pp. 289–293 (1996)

    Google Scholar 

  17. Strejc, V.: Auswertung der dynamischen Eigenschaften von Regelstrecken bei gemessenen Ein- und Ausgangssignalen allgemeiner Art, Messen, Steuern, Regeln, vol. 3, pp. 7–11 (1960)

    Google Scholar 

  18. Ťapák, P., Huba, M., Žáková, K.: Constrained Control for Systems with Relative Degree One. In: Proc. 17th IFAC World Congress, Seoul, Korea, July 6-11, 2008, pp. 5814–5819 (2008)

    Google Scholar 

  19. Unbehaunen, H., Rao, G.P.: Identification of Continuous Systems. North Holland Systems and Control Series, vol. 10 (1987)

    Google Scholar 

  20. Vidyasagar, M.: Nonlinear Systems Analysis. Prentice Hall, Englewood Cliffs (1993)

    MATH  Google Scholar 

  21. Welty, J., Wicks, C.E., Wilson, R.: Fundamentals of Momentum, Heat, and Mass Transfer. John Wiley, New York (1984)

    Google Scholar 

  22. Zhou, K., Doyle, J.C., Glover, K.: Robust and Optimal Control. Prentice Hall, Englewood Cliffs (1996)

    MATH  Google Scholar 

  23. Umeno, T.Y.H.: Robust speed control of dc servomotors using modern two-degree-of-freedom controller design. IEEE Trans. Ind. Electr. 38, 363–368 (1991)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Huba, M., Jelenčiak, F., Ťapák, P. (2009). Comparing Algebraic and Constrained Pole Assignment Controllers for a Thermal System. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory - EUROCAST 2009. EUROCAST 2009. Lecture Notes in Computer Science, vol 5717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04772-5_79

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-04772-5_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04771-8

  • Online ISBN: 978-3-642-04772-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics