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  • The paper is focused on control of first order unstable delayed systems. The control design is performed in the RMS ring of retarded quasipolynomial (RQ) meromorphic functions. Unstable systems are modeled in anisochronic philosophy as a ratio of quasipolynomials where also denominator contains delay terms. The goal is to find a suitable stable quasipolynomial as a common denominator of RMS terms. This task is equivalent to the stabilization of a plant by a proportional controller in a feedback loop. Then, the appropriate controller can be found. In this paper, an algebraic method based on the solution of the Bèzout equation with Youla-Kučera parameterization is presented. Besides the simple feedback loop, significant improvement using two-degrees of freedom structure is demonstrated. The method offers a real positive real parameter m0 which defines closed loop poles placement. The modified %22equalization method%22 for determining of m0 can be applied. An example illustrates the propos
  • The paper is focused on control of first order unstable delayed systems. The control design is performed in the RMS ring of retarded quasipolynomial (RQ) meromorphic functions. Unstable systems are modeled in anisochronic philosophy as a ratio of quasipolynomials where also denominator contains delay terms. The goal is to find a suitable stable quasipolynomial as a common denominator of RMS terms. This task is equivalent to the stabilization of a plant by a proportional controller in a feedback loop. Then, the appropriate controller can be found. In this paper, an algebraic method based on the solution of the Bèzout equation with Youla-Kučera parameterization is presented. Besides the simple feedback loop, significant improvement using two-degrees of freedom structure is demonstrated. The method offers a real positive real parameter m0 which defines closed loop poles placement. The modified %22equalization method%22 for determining of m0 can be applied. An example illustrates the propos (en)
  • Článek se zabývá řízením nestabilních systémů se zpožděním. Návrh řízení je proveden v okruhu RMS (zpožděné kvazipolynomiální meromorfní funkce). Systémy jsou modelovány v anisochronní filosofii jako podíly polynomů, kde i jmenovatelé obsahují zpožďující členy. Hlavním cílem je nalézt vhodný stabilní kvazipolynom jako společný jmenovatel členů v RMS. Tato úloha je ekvivalentní se stabilizací pomocí proporcionálního regulátoru ve zpětné vazbě. Regulátory jsou pak navrženy pomocí diofantické rovnice a Youla-Kučerovy parametrizace, třetí. Vedle tradiční jednoduché zpětné vazby je užito výrazného vylepšení pomocí 2DOF konfigurace. Metoda nabízí parametr m0, který lze využít k ladění regulátorů. Zde je užita modifikace tzv. vyvážené metody nastavení. Metodiky jsou ověřeny na simulačním příkladu. (cs)
Title
  • Algebraic control of unstable delayed first order systems using RQ-meromorphic functions
  • Algebraické řízení nestabilních syszémů 1.řádu se zpožděním s využitím meromorfních funkcí (cs)
  • Algebraic control of unstable delayed first order systems using RQ-meromorphic functions (en)
skos:prefLabel
  • Algebraic control of unstable delayed first order systems using RQ-meromorphic functions
  • Algebraické řízení nestabilních syszémů 1.řádu se zpožděním s využitím meromorfních funkcí (cs)
  • Algebraic control of unstable delayed first order systems using RQ-meromorphic functions (en)
skos:notation
  • RIV/70883521:28140/07:63505770!RIV08-MSM-28140___
http://linked.open.../vavai/riv/strany
  • 1-6
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  • Z(MSM7088352102)
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  • 409038
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  • RIV/70883521:28140/07:63505770
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  • Stabilization; delayed systems; algebraic control design. (en)
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  • [571389A54EC0]
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  • Atény
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  • Proceeding of the 15th Mediterranean Control Conference
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  • Matušů, Radek
  • Pekař, Libor
  • Prokop, Roman
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  • Mediterranean Control Conference
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  • 978-1-4244-2137-4
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  • 28140
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