Minimal–phase positive electrical circuits

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.15199/48.2016.03.43

Warianty tytułu

PL

Dodatnie minimalnofazowe obwody elektryczne

• Języki publikacji: EN

Abstrakty

EN

Minimal-phase positive continuous-time linear electrical circuits are addressed. It is shown that positive asymptotically stable electrical circuits with distinct poles and zeros are minimal-phase systems. Conditions are established for electrical circuits to be minimal-phase systems. Sufficient conditions for cancelation of zeros and poles of minimal-phase electrical circuits are proposed.

PL

W pracy są analizowane dodatnie minimalnofazowe obwody elektryczne opisane równaniami stanu i macierzami transmitancji operatorowych. Wykazano, że dodatnie stabilne asymptotycznie obwody elektryczne z różnymi zerami i biegunami są obwodami minimalnofazowymi. Podano warunki minimalnofazowości obwodów elektrycznych, oraz warunki wystarczające upraszczania zer i biegunów w obwodach elektrycznych. Rozważania ogólne zilustrowano przykładami obwodów elektrycznych.

Słowa kluczowe

EN

minimal phase; positive; asymptotically stable; electric circuit; pole; cancellation

PL

minimalnofazowość; dodatniość; stabilność asymptotyczna; obwód elektryczny; zera; biegun

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2016
• Tom: R. 92, nr 3
• Strony: 182--189
• Opis fizyczny: Bibliogr. 38 poz., rys.

Twórcy

autor

Kaczorek T.

• Politechnika Białostocka, Wydział Elektryczny, ul. Wiejska 45D, 15-351 Białystok

Bibliografia

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• [29] Kaczorek T., Positive realizations with reduced numbers of delays for 2-D continuous-discrete linear systems. Bull. Pol. Acad. Sci. Techn., vol. 60, no. 4, (2012), 835-840.
• [30] Kaczorek T., Positive stable realizations for fractional descriptor continuous-time linear systems. Archives of Control Sciences, vol. 22, no. 3, (2012), 255-265.
• [31] Kaczorek T., Positive stable realizations of fractional continuous-time linear systems. Int. J. Appl. Math. Comput. Sci., vol. 21, no. 4, (2011), 697-702.
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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.