Realizacje dodatnie dyskretnych liniowych układów niecałkowitego rzędu w oparciu o odpowiedź impulsową

• Autorzy: Sajewski Ł.

Warianty tytułu

EN

Positive realisation of linear discrete-time fractional-order systems based on impulse response

• Języki publikacji: PL

Abstrakty

PL

Podane zostaną warunki zewnętrznej i wewnętrznej dodatniości dyskretnych liniowych układów niecałkowitego rzędu. Sformułowany zostanie problem realizacji dodatniej dla dyskretnych liniowych układów niecałkowitego rzędu. Podana zostanie metoda wyznaczania realizacji dodatniej na podstawie zadanej transmitancji operatorowej w oparciu o charakterystykę impulsową układu dyskretnego. Rozpatrzone zostaną dwa przypadki transmitancji operatorowej opisującej układ dyskretny niecałkowitego rzędu. Metoda zobrazowana zilustrowana przykładami numerycznymi.

EN

Linear discrete-time fractional-order systems are dealt with in the paper. Conditions for external and internal positivity of linear discrete-time fractional-order systems with single-input and single-output (SISO) are presented. A positive realisation problem for linear discrete-time fractional systems is formulated. The method for finding positive realisation based on the impulse response for the known transfer function is given. There are considered two cases of the linear discrete-time fractional system transfer function. The considerations are illustrated by examples. In Section 2 of the paper there are presented the fundamentals of linear discrete-time fractional systems and the conditions for internal and external positivity are given. This section also contains formulation of the positive realisation problem for the class of linear discrete-time fractional systems. The main results and the procedure for computation of the positive realisation for the known linear discrete-time fractional system transfer function are given in Section 3. This section also contains some examples illustrating the method proposed. There are concluding remarks in Section 4.

Słowa kluczowe

PL

realizacja dodatnia; układy dyskretne; układy niecałkowitego rzędu; charakterystyka impulsowa

EN

positive realisation; discrete-time fractional order system; impulse response

• Wydawca: Wydawnictwo PAK
• Czasopismo: Pomiary Automatyka Kontrola
• Rocznik: 2010
• Tom: R. 56, nr 5
• Strony: 404--408
• Opis fizyczny: Bibliogr. 32 poz., wzory

Twórcy

autor

Sajewski Ł.

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

Bibliografia

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