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Rational Approximations for Time-Delay Systems: Case Studies

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F11%3A43865972" target="_blank" >RIV/70883521:28140/11:43865972 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Rational Approximations for Time-Delay Systems: Case Studies

  • Original language description

    Linear time-invariant time-delay systems (LTI-TDS) constitute a widespread family of plants and systems, not only limited to industrial ones. They can be represented by Laplace transfer functions in the form of fractions of so-called quasipolynomials. Direct controller design for LTI-TDS based on such models is mostly rather intricate. Many approaches require a rational approximation of the transfer function. In this contribution, description and comparison of some selected easy-handling rational approximations of exponential elements in LTI-TDS transfer functions is presented. Namely, Padé approximation, shift operator approximations and Fourier analysis based method are introduced. Unlike traditional concept which is well examined, internal (state) delays are considered as well here. A program testing interface in Matlab-Simulink environment is developed and some study cases are presented by applying the application.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/ED2.1.00%2F03.0089" target="_blank" >ED2.1.00/03.0089: The Centre of Security, Information and Advanced Technologies (CEBIA-Tech)</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Mathematical Methods and Techniques in Engineering and Environmental Science

  • ISBN

    978-1-61804-046-6

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    217-222

  • Publisher name

    WSEAS Press (IT)

  • Place of publication

    Venice

  • Event location

    Catania

  • Event date

    Nov 3, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article