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  • The paper deals with the usage of the Lagrange polynomials to count derivations of action and output signal during recursive identification of continuous-time model of continuous-time systems. The classical scheme of recursive identification uses filters to obtain derivations of action and output signal in purpose to obtain parameters of continuous-time system during on-line identification. However, the filter has to be set in the way that a priori information has to be taken into account. If the regression polynomial is used instead of filters, there is no problem to count the derivation of this regression polynomial. In addition, the general formulae of the derivations can be obtained analytically and the values are easily counted numerically. This approach was verified by simulation in MATLAB by the usage of self-tuning control of SISO system in the feedback loop and decentralized self-tuning feedback control of TITO system, too.
  • The paper deals with the usage of the Lagrange polynomials to count derivations of action and output signal during recursive identification of continuous-time model of continuous-time systems. The classical scheme of recursive identification uses filters to obtain derivations of action and output signal in purpose to obtain parameters of continuous-time system during on-line identification. However, the filter has to be set in the way that a priori information has to be taken into account. If the regression polynomial is used instead of filters, there is no problem to count the derivation of this regression polynomial. In addition, the general formulae of the derivations can be obtained analytically and the values are easily counted numerically. This approach was verified by simulation in MATLAB by the usage of self-tuning control of SISO system in the feedback loop and decentralized self-tuning feedback control of TITO system, too. (en)
  • Příspěvek se zabývá použitím Lagrangeových polynomů pro výpočet derivací akčního a výstupního signálu během rekurzivní identifikace spojitého modelu spojitého systému. Klasické schéma rekurzivní identifikace používá filtrů za účelem získání derivací akčního a výstupního signálu za účelem získání parametrů spojitého systému během on-line identifikace. nicméně filtr musí být nastaven tak, že je třeba znát apriorní informaci. Jestliže se použije regresní polynom místo filtru, pak není problém s výpočtem derivací tohoto regresního polynomu. Navíc obecné vztahy pro výpočet derivací lze určit analyticky a hodnoty pak jednoduše počítat numericky. Tento přístup byl ověřen simulačně v MATLABu použitím STC SISO systému ve zpětné vazbě a decentralizovaným smaočinně se nastavujícím řízením TITO systému. (cs)
Title
  • USAGE OF REGRESSION POLYNOMIALS IN ON-LINE IDENTIFICATION
  • Použití regresních polynomů při on-line identifikaci (cs)
  • USAGE OF REGRESSION POLYNOMIALS IN ON-LINE IDENTIFICATION (en)
skos:prefLabel
  • USAGE OF REGRESSION POLYNOMIALS IN ON-LINE IDENTIFICATION
  • Použití regresních polynomů při on-line identifikaci (cs)
  • USAGE OF REGRESSION POLYNOMIALS IN ON-LINE IDENTIFICATION (en)
skos:notation
  • RIV/70883521:28140/07:63505927!RIV08-MSM-28140___
http://linked.open.../vavai/riv/strany
  • 540-543
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  • Z(MSM7088352101)
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  • 456889
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  • RIV/70883521:28140/07:63505927
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  • Decentralized control; Lagrange polynomial; MATLAB; recursive instrumental variable; self-tuning controller. (en)
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  • [6D40F00CDE8A]
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  • Košice
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  • 8 th International Carpathian Control Conference
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  • Perůtka, Karel
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  • Technická univerzita v Košiciach
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  • 978-80-8073-805-1
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  • 28140
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