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Control of Time-Delay Systems with Parametric Uncertainty via Two Feedback Controllers

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Book cover Cybernetics and Mathematics Applications in Intelligent Systems (CSOC 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 574))

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Abstract

The main goal of this contribution is to present the application of polynomial approach-based design of two feedback controllers to time-delay plants with parametric uncertainty. Robust stability of designed control systems is analyzed via the families of their closed-loop characteristic quasi-polynomials, more specifically by means of the graphical method which combines the value set concept with the zero exclusion condition. A second order plus time delay plant with uncertain parameters is robustly stabilized (or intentionally got to the robust stability border) in the simulation example.

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Acknowledgments

The work was supported by the Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme project No. LO1303 (MSMT-7778/2014). This assistance is very gratefully acknowledged.

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Authors and Affiliations

  1. Faculty of Applied Informatics, Centre for Security, Information and Advanced Technologies (CEBIA – Tech), Tomas Bata University in Zlínnám, nám. T. G. Masaryka 5555, 760 01, Zlín, Czech Republic

    Radek Matušů & Roman Prokop

Authors
  1. Radek Matušů
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  2. Roman Prokop
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Corresponding author

Correspondence to Radek Matušů .

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Editors and Affiliations

  1. Faculty of Applied Informatics, Tomas Bata University in Zlín Faculty of Applied Informatics, Zlín, Czech Republic

    Radek Silhavy

  2. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Roman Senkerik

  3. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Zuzana Kominkova Oplatkova

  4. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Zdenka Prokopova

  5. Faculty of Applied Informatics, Tomas Bata University in Zlín, Zlín, Czech Republic

    Petr Silhavy

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Matušů, R., Prokop, R. (2017). Control of Time-Delay Systems with Parametric Uncertainty via Two Feedback Controllers. In: Silhavy, R., Senkerik, R., Kominkova Oplatkova, Z., Prokopova, Z., Silhavy, P. (eds) Cybernetics and Mathematics Applications in Intelligent Systems. CSOC 2017. Advances in Intelligent Systems and Computing, vol 574. Springer, Cham. https://doi.org/10.1007/978-3-319-57264-2_20

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  • DOI: https://doi.org/10.1007/978-3-319-57264-2_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57263-5

  • Online ISBN: 978-3-319-57264-2

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