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  • Time delay systems (TDS), called hereditary or anisochronic as well, can be frequently found in many engineering problems and they constitute a widespread family of industrial plants. Modelling, identification, stability analysis, stabilization, control, etc. of TDS are challenging and fascinating tasks in modern systems and control theory as well as in academic and industrial applications. One of their possible linear representations in the form of the Laplace transform yields the transfer function expressed as a fraction of quasipolynomials, instead of polynomials, with delay (exponential) terms in denominators. In this contribution, detailed root location analysis of a characteristic retarded quasipolynomial of degree one is presented, which gives rise to the spectrum of a retarded TDS. The presented analysis represents also a powerful tool for controller tuning in pole-placement control algorithms for delayed systems. A simulation example clarifies the results obtained vie proven propositions, lemmas and theorems.
  • Time delay systems (TDS), called hereditary or anisochronic as well, can be frequently found in many engineering problems and they constitute a widespread family of industrial plants. Modelling, identification, stability analysis, stabilization, control, etc. of TDS are challenging and fascinating tasks in modern systems and control theory as well as in academic and industrial applications. One of their possible linear representations in the form of the Laplace transform yields the transfer function expressed as a fraction of quasipolynomials, instead of polynomials, with delay (exponential) terms in denominators. In this contribution, detailed root location analysis of a characteristic retarded quasipolynomial of degree one is presented, which gives rise to the spectrum of a retarded TDS. The presented analysis represents also a powerful tool for controller tuning in pole-placement control algorithms for delayed systems. A simulation example clarifies the results obtained vie proven propositions, lemmas and theorems. (en)
Title
  • Root locus analysis of a retarded quasipolynomial
  • Root locus analysis of a retarded quasipolynomial (en)
skos:prefLabel
  • Root locus analysis of a retarded quasipolynomial
  • Root locus analysis of a retarded quasipolynomial (en)
skos:notation
  • RIV/70883521:28140/11:43865523!RIV12-MSM-28140___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED2.1.00/03.0089), Z(MSM7088352102)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 227603
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  • RIV/70883521:28140/11:43865523
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Retarded quasipolynomials,Root locus,Stability analysis,Time delay systems (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GR - Řecká republika
http://linked.open...ontrolniKodProRIV
  • [DA0CDC5E9398]
http://linked.open...i/riv/nazevZdroje
  • WSEAS Transactions on Systems and Control
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 6
http://linked.open...iv/tvurceVysledku
  • Pekař, Libor
http://linked.open...n/vavai/riv/zamer
issn
  • 1991-8763
number of pages
http://localhost/t...ganizacniJednotka
  • 28140
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