Designing control systems with controller based on internal model with two degrees of freedom

Authors

  • Юрій Михайлович Ковриго National Technical University of Ukraine "Kyiv Polytechnic Institute" Peremohy ave., 37, Kyiv, Ukraine, 03056, Ukraine
  • Тарас Григорович Баган National Technical University of Ukraine "Kyiv Polytechnic Institute" Peremohy ave., 37, Kyiv, Ukraine, 03056, Ukraine
  • Андрій Павлович Ущаповський National Technical University of Ukraine "Kyiv Polytechnic Institute" Peremohy ave., 37, Kyiv, Ukraine, 03056, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2014.26307

Keywords:

regulation, controller, robustness, quality, index, stability, model, synthesis, function, sensitivity

Abstract

In describing complex heat-and-power engineering processes, the vast majority of models has the simplification of behavior of the control object. In practice, it does not allow to set the controller promptly, but only to obtain approximate parameters. Moreover, the control objects in power engineering usually operate in maneuvered regimes, changing the load and internal parameters. The purpose of the research is the synthesis of the controller, which would provide the set-up quality indexes of transient processes, regardless of the model inaccuracy or changes of equipment parameters during operation.

The advantages of controller with the internal structure were considered, the stability of the closed - loop system is achieved by selecting stable IC-controller. N∞-norm was taken as the control error estimate. The quality indexes of transient processes in the system with IC-N∞ controller directly depend on one controller parameter, which makes its setting very easy.

The resulting structure of the controller may have two degrees of freedom, which improves the quality of transient processes for different control channels, as there is an opportunity to improve the quality of transient processes independently of one another.

On the example of ARS of the steam temperature behind upper radiation part of once-through boiler, simulation modeling and comparative analysis of IC controllers with one and two degrees of freedom was carried out. Using the designed controllers allows to ensure sufficient stability margin while maintaining performance and other quality indexes of the regulation system in the entire operating range of loads of the control object.

Author Biographies

Юрій Михайлович Ковриго, National Technical University of Ukraine "Kyiv Polytechnic Institute" Peremohy ave., 37, Kyiv, Ukraine, 03056

Candidate of Technical Sciences, Professor

Department of automation of processes of heat and power

Тарас Григорович Баган, National Technical University of Ukraine "Kyiv Polytechnic Institute" Peremohy ave., 37, Kyiv, Ukraine, 03056

Senior Lecturer

Department of automation of processes of heat and power

Андрій Павлович Ущаповський, National Technical University of Ukraine "Kyiv Polytechnic Institute" Peremohy ave., 37, Kyiv, Ukraine, 03056

Engineer

Department of automation of processes of heat and power

References

  1. Åström, K. J., Hägglund, T. (2006). Advanced PID Control. Instrument Society of America. Research Triangle Park, 460.
  2. Zames, G., Francis, B. (1983). Feedback, minimax sensitivity, and optimal robustness. IEEE Transactions on Automatic Control, 28 (5), 585–601. Institute of Electrical & Electronics Engineers (IEEE). doi:10.1109/TAC.1983.1103275
  3. Morari, M., Zafiriou, E. (1989). Robust Process Control. New Jersey: Prentice Hall-Englewood Cliffs, 479.
  4. Vilanova, R., Visioli, A. (Eds.). (2012). Advances in Industrial Control. Springer Science + Business Media, 599. doi:10.1007/978-1-4471-2425-2
  5. Poliak, B., Scherbakov, P. (2002). Robustnaia ustojchivost i upravlenie. Moscow: Nauka, 303.
  6. Rivera, D. E., Morari, M., Skogestad, S. (1986). Internal model control. Ind. Eng. Chem. Res. 25, 265.
  7. Astrom, K. J., Hagglund, T. (1995). PID controllers: Theory, design, and tuning. NC: Instrument Society of America – Research Triangle Park, 461.
  8. Skogestad, S. (2003). Simple analytic rules for model reduction and PID controller tuning. Journal of Process Control, 13 (4), 291–309. Elsevier BV. doi:10.1016/S0959-1524(02)00062-8
  9. Кovrygo, Y., Bahan, T. (2013). Metodyka nalastuvannia Н∞-PID rehuliatora dlia ob’ectiv iz zapiznuvanniam. Naukovi visti NTUU «KPI», Kyiv, 1, 12–17.
  10. Konovalov, M. (2009). Problemy avtomatizatsii inertsyonnyh tepoenerheticheskih ob’ectov. Kiev: Phenix, 312.

Published

2014-07-24

How to Cite

Ковриго, Ю. М., Баган, Т. Г., & Ущаповський, А. П. (2014). Designing control systems with controller based on internal model with two degrees of freedom. Eastern-European Journal of Enterprise Technologies, 4(11(70), 4–8. https://doi.org/10.15587/1729-4061.2014.26307

Issue

Section

Mathematical and information support of computer-integrated control systems