Description and Analysis of Systems with Unstructured Additive Uncertainty

  • Radek MatušůEmail author
  • Bilal Şenol
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 661)


This contribution is focused on systems with unstructured additive uncertainty, their description and robust stability analysis. The work presents particularly the example of the additive uncertainty model creation on the basis of a third order integrating plant with parametric uncertainty by means of the selection of a nominal system and a suitable weight function. Moreover, it compares the results of robust stability border investigation for parametric, multiplicative and additive uncertainty model cases.


Additive uncertainty Unstructured uncertainty Uncertain systems Uncertainty description Uncertainty modeling Robust stability analysis 



This 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) and also by the European Regional Development Fund under the project CEBIA-Tech No. CZ.1.05/2.1.00/03.0089. This assistance is very gratefully acknowledged.


  1. 1.
    Barmish, B.R.: New Tools for Robustness of Linear Systems. Macmillan, New York (1994)zbMATHGoogle Scholar
  2. 2.
    Bhattacharyya, S.P., Chapellat, H., Keel, L.H.: Robust Control: The Parametric Approach. Prentice Hall, Englewood Cliffs (1995)zbMATHGoogle Scholar
  3. 3.
    Bhattacharyya, S.P., Datta, A., Keel, L.H.: Linear Control Theory: Structure, Robustness, and Optimization. CRC Press, Taylor & Francis Group, Boca Raton (2009)zbMATHGoogle Scholar
  4. 4.
    Matušů, R., Prokop, R., Pekař, L.: Parametric and unstructured approach to uncertainty modelling and robust stability analysis. Int. J. Math. Models Methods Appl. Sci. 5(6), 1011–1018 (2011)Google Scholar
  5. 5.
    Skogestad, S., Postlethwaite, I.: Multivariable Feedback Control: Analysis and Design. Wiley, Chichester (2005)zbMATHGoogle Scholar
  6. 6.
    Doyle, J., Francis, B., Tannenbaum, A.: Feedback Control Theory. Macmillan, New York (1992)Google Scholar
  7. 7.
    Burns, R.S.: Advanced Control Engineering. Butterworth-Heinemann, Oxford (2001)Google Scholar
  8. 8.
    Matušů, R., Şenol, B., Yeroğlu, C.: Modelling and robust stability analysis of systems with unstructured multiplicative uncertainty. In: Recent Advances in Systems – Proceedings of the 19th International Conference on Systems, pp. 261–266, Zakynthos, Greece (2015)Google Scholar
  9. 9.
    Matušů, R., Şenol, B., Yeroğlu, C.: Linear systems with unstructured multiplicative uncertainty: modeling and robust stability analysis. PLoS ONE, 12(7), 21 (2017)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Centre for Security, Information and Advanced Technologies (CEBIA–Tech), Faculty of Applied InformaticsTomas Bata University in ZlínZlínCzech Republic
  2. 2.Department of Computer Engineering, Faculty of EngineeringInonu UniversityMalatyaTurkey

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