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Numerical gridding stability charts estimation using quasi-polynomial approximation for TDS

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28140%2F21%3A63540638" target="_blank" >RIV/70883521:28140/21:63540638 - isvavai.cz</a>

  • Result on the web

    <a href="https://ieeexplore.ieee.org/document/9447521" target="_blank" >https://ieeexplore.ieee.org/document/9447521</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/PC52310.2021.9447521" target="_blank" >10.1109/PC52310.2021.9447521</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical gridding stability charts estimation using quasi-polynomial approximation for TDS

  • Original language description

    The aim of this study is to present and summarize our numerical algorithm for the determination of stability charts in the delay space for linear time-invariant time systems with constant delays (TDS), both retarded and neutral ones. The core of algorithm lies in a successive (iterative) approximation of the infinite-dimensional characteristic quasi-polynomial in each grid node of the delay space. This approximation resulting in a polynomial or an exponential polynomial with commensurate delays is made in the neighborhood of the dominant characteristic value (pole) that has recently been estimated in the closest grid node. Two different approximation techniques are presented; namely, continuous-time and discrete-time ones. A complete numerical example for retarded TDS is presented, whereas the approximation issues are highlighted in another example for neutral TDS. © 2021 IEEE.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20205 - Automation and control systems

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    PROCESS CONTROL &apos;21 - PROCEEDING OF THE 2021 23RD INTERNATIONAL CONFERENCE ON PROCESS CONTROL (PC)

  • ISBN

    978-1-66540-330-6

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    290-295

  • Publisher name

    Institute of Electrical and Electronics Engineers Inc.

  • Place of publication

    Piscataway, New Jersey

  • Event location

    Štrbské pleso

  • Event date

    Jun 1, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000723653400049