Stabilization of fractional discrete-time linear systems using state-feedback

• Autorzy: Kaczorek T.

Warianty tytułu

PL

Stabilizacja dyskretnych układów liniowych ułamkowego rzędu za pomocą sprzężeń zwrotnych od wektora stanu

• Konferencja: Logistyka, Systemy Transportowe i Bezpieczeństwo w Transporcie - LOGITRANS 2009 (VI ; 15-17.04.2009 ; Szczyrk, Polska)
• Języki publikacji: EN

Abstrakty

EN

The problem of finding a gain matrix of the state-feedback of fractional discrete-time linear system such that the closed-loop system is positive and asymptotically stable is formulated and solved. Necessary and sufficient conditions for the solvability of the problem are established. A procedure for computation of the gain matrix is given and illustrated by numerical example.

PL

Sformułowano i rozwiązano problem stabilizacji dyskretnych układów liniowych ułamkowego rzędu za pomocą sprzężeń zwrotnych od wektora stanu. Podano warunki konieczne i wystarczające na istnienie macierzy sprzężeń zwrotnych, które zapewniają dodatniość i asymptotyczną stabilność układu zamkniętego. Podano procedurę wyznaczania tej macierzy sprzężeń zwrotnych. Efektywność proponowanej metody pokazano na przykładzie liczbowym.

Słowa kluczowe

EN

linear discrete time fractional systems; positivity

• Wydawca: Sieć Badawcza Łukasiewicz - Poznański Instytut Technologiczny
• Czasopismo: Logistyka
• Rocznik: 2009
• Tom: nr 3
• Strony: CD--CD
• Opis fizyczny: -pełny tekst, Bibliogr. 25 poz.

Twórcy

autor

Kaczorek T.

• Politechnika Białostocka,

Bibliografia

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