Positivity and linearization of a class of nonlinear discrete-time systems by state-feedbacks

• Autorzy: Kaczorek T.

Warianty tytułu

PL

Dodatniość i linearyzacja pewnej klasy układów nieliniowych dyskretnych za pomocą sprzężeń zwrotnych od wektora stanu

• Języki publikacji: EN

Abstrakty

EN

The positivity and linearization of a class of nonlinear discrete-time system by nonlinear state-feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of the nonlinear systems by nonlinear state-feedbacks is presented. It is shown that by suitable choice of state-feedbacks it is possible to obtain asymptotically stable and controllable linear system.

PL

Praca jest poświęcona dodatniości i linearyzacji nieliniowych układów dyskretnych za pomocą nieliniowych sprzężeń zwrotnych od wektora stanu. Sformułowano warunki konieczne i wystarczające dodatniości tej klasy układów nieliniowych. Podano metodę linearyzacji tych układów za pomocą nieliniowych sprzężeń zwrotnych od wektora stanu. Wykazano, że przez odpowiedni dobór nieliniowych sprzężeń zwrotnych można uzyskać układ liniowy sterowalny i stabilny asymptotycznie.

Słowa kluczowe

EN

positivity; linearization; non-linear discrete-time systems; non-linear feedback

PL

dodatniość; linearyzacja; układ nieliniowy; układ dyskretny

• Wydawca: Sieć Badawcza Łukasiewicz - Poznański Instytut Technologiczny
• Czasopismo: Logistyka
• Rocznik: 2014
• Tom: nr 6
• Strony: 5078--5083
• Opis fizyczny: Bibliogr. 23 poz., pełny tekst na CD3

Twórcy

autor

Kaczorek T.

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

Bibliografia

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