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Parametric Uncertainty of Linear Discrete-Time Systems Described by Fuzzy Numbers

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Knowledge-Based and Intelligent Information and Engineering Systems (KES 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5711))

Abstract

The paper deals with the problem of determination of stability margin of uncertain linear discrete-time systems with uncertainty described by fuzzy numbers. Nonsymmetric triangular membership functions describing the uncertainty of coefficients of characteristic polynomial are considered. The presented solution is based on transformation of the original problem to Hurwitz stability test and generalization of Tsypkin-Polyak plot.

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Author information

Authors and Affiliations

  1. Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27, Prague, Czech Republic

    Petr Hušek

Authors
  1. Petr Hušek
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Editor information

Editors and Affiliations

  1. University of Chile, Republica 701, 8370439, Santiago, Chile

    Juan D. Velásquez  & Sebastián A. Ríos  & 

  2. University of Brighton, BN2 4GJ, Brighton, UK

    Robert J. Howlett

  3. University of South Australia, 5095, Mawson Lakes, SA, Australia

    Lakhmi C. Jain

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Hušek, P. (2009). Parametric Uncertainty of Linear Discrete-Time Systems Described by Fuzzy Numbers. In: Velásquez, J.D., Ríos, S.A., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2009. Lecture Notes in Computer Science(), vol 5711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04595-0_2

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  • DOI: https://doi.org/10.1007/978-3-642-04595-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04594-3

  • Online ISBN: 978-3-642-04595-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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