Minimum energy control of fractional descriptor positive discrete-time linear systems

• Autorzy: Kaczorek T.

Identyfikatory

DOI

10.2478/amcs-2014-0054

• Języki publikacji: EN

Abstrakty

EN

Necessary and sufficient conditions for the positivity and reachability of fractional descriptor positive discrete-time linear systems are established. The minimum energy control problem for descriptor positive systems is formulated and solved. Sufficient conditions for the existence of a solution to the minimum energy control problem are given. A procedure for computation of optimal input sequences and a minimal value of the performance index is proposed and illustrated by a numerical example.

Słowa kluczowe

EN

fractional system; descriptor system; positive system; minimum energy control

PL

układ ułamkowy; układ deskrypcyjny; układ dodatni; sterowanie energooszczędne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2014
• Tom: Vol. 24, no. 4
• Strony: 735--743
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Białystok University of Technology, ul. Wiejska 45D, 15-351 Białystok, Poland

Bibliografia

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