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On the Comparison and Evaluation of Some Basic Regulator Design Methods

Received: 5 July 2021     Accepted: 2 September 2021     Published: 14 September 2021
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Abstract

All existing basic regulator design methods are summarized in this paper and compared concerning their usability and formal algebraic formulations. First the regulators based on state-feedback is discussed. These regulators mostly use pole placement, sometimes with full pole cancellation. The other versions are based on characteristic polynomial design, which is a feedback regulator design method. Another class of the regulators are based on the Youla-parameterization, which is sometimes called Q-parameterization. Then it is shortly summarized how a Youla regulator is computed. Finally it is systematically proved that the best usable method is the Youla-parameterization based regulator design introduced by the authors.

Published in American Journal of Computer Science and Technology (Volume 4, Issue 3)
DOI 10.11648/j.ajcst.20210403.14
Page(s) 83-89
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Regulator, Design, Performance, Parameterization

References
[1] Åström, K. J. and B. Wittenmark (1984). Computer Controlled Systems. Prentice-Hall, p. 430.
[2] Goodwin, G. C., Graebe S. F. and Salgado M. E. (2001). Control System Design. Prentice-Hall, p. 908.
[3] Horowitz, I. M. (1963). Synthesis of Feedback Systems, Academic Press, New York.
[4] Keviczky, L. (1995). Combined identification and control: another way. (Invited plenary paper.) 5th IFAC Symp. on Adaptive Control and Signal Processing, ACASP'95, 13-30, Budapest, Hungary.
[5] Keviczky, L. and Cs. Bányász (1999). Optimality of two-degree of freedom controllers in H2- and H-norm space, their robustness and minimal sensitivity. 14th IFAC World Congress, F, 331-336, Beijing, PRC.
[6] Keviczky, L. and Cs. Bányász (2015). Two-Degree-of-Freedom Control Systems (The Youla Parameterization Approach), Elsevier, Academic Press, p. 512.
[7] Keviczky, L., R. Bars, J. Hetthéssy and Cs. Bányász (2018). Control Engineering. Springer.
[8] Keviczky, L., R. Bars, J. Hetthéssy and Cs. Bányász (2018). Control Engineering: MATLAB Exercises, Springer.
[9] Maciejowski, J. M. (1989). Multivariable Feedback Design, Addison Wesley, p. 424.
[10] Youla, D. C., Bongiorno, J. J. and C. N. Lu (1974). Single-loop feedback stabilization of linear multivariable dynamical plants, Automatica, Vol. 10, 2, pp. 159-173.
[11] Youla, D. C. and J. J. Bongiorno, Jr. (1985). A feedback theory of two-degree-of-freedom optimal Wiener-Hopf design," IEEE Trans. Auto. Control, vol. AC-30, No. 7, pp. 652-665.
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  • APA Style

    László Keviczky, Csilla Bányász. (2021). On the Comparison and Evaluation of Some Basic Regulator Design Methods. American Journal of Computer Science and Technology, 4(3), 83-89. https://doi.org/10.11648/j.ajcst.20210403.14

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    ACS Style

    László Keviczky; Csilla Bányász. On the Comparison and Evaluation of Some Basic Regulator Design Methods. Am. J. Comput. Sci. Technol. 2021, 4(3), 83-89. doi: 10.11648/j.ajcst.20210403.14

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    AMA Style

    László Keviczky, Csilla Bányász. On the Comparison and Evaluation of Some Basic Regulator Design Methods. Am J Comput Sci Technol. 2021;4(3):83-89. doi: 10.11648/j.ajcst.20210403.14

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  • @article{10.11648/j.ajcst.20210403.14,
      author = {László Keviczky and Csilla Bányász},
      title = {On the Comparison and Evaluation of Some Basic Regulator Design Methods},
      journal = {American Journal of Computer Science and Technology},
      volume = {4},
      number = {3},
      pages = {83-89},
      doi = {10.11648/j.ajcst.20210403.14},
      url = {https://doi.org/10.11648/j.ajcst.20210403.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajcst.20210403.14},
      abstract = {All existing basic regulator design methods are summarized in this paper and compared concerning their usability and formal algebraic formulations. First the regulators based on state-feedback is discussed. These regulators mostly use pole placement, sometimes with full pole cancellation. The other versions are based on characteristic polynomial design, which is a feedback regulator design method. Another class of the regulators are based on the Youla-parameterization, which is sometimes called Q-parameterization. Then it is shortly summarized how a Youla regulator is computed. Finally it is systematically proved that the best usable method is the Youla-parameterization based regulator design introduced by the authors.},
     year = {2021}
    }
    

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    AU  - László Keviczky
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    Y1  - 2021/09/14
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    AB  - All existing basic regulator design methods are summarized in this paper and compared concerning their usability and formal algebraic formulations. First the regulators based on state-feedback is discussed. These regulators mostly use pole placement, sometimes with full pole cancellation. The other versions are based on characteristic polynomial design, which is a feedback regulator design method. Another class of the regulators are based on the Youla-parameterization, which is sometimes called Q-parameterization. Then it is shortly summarized how a Youla regulator is computed. Finally it is systematically proved that the best usable method is the Youla-parameterization based regulator design introduced by the authors.
    VL  - 4
    IS  - 3
    ER  - 

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Author Information
  • Institute of Computer Science and Control, Systems and Control Laboratory, Budapest, Hungary

  • Institute of Computer Science and Control, Systems and Control Laboratory, Budapest, Hungary

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