This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems for a given frequency band by a rational function are presented. ; The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase error between the irrational transfer function and its rational approximation. A simple analog circuit which can serve as a fundamental analog fractional system is obtained. Illustrative examples are presented to show the quality and usefulness of the approximation method.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 17, number 4 (2007) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-04-03
2024-04-03
22
https://zbc.uz.zgora.pl/repozytorium/publication/88423
Nazwa wydania | Data |
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Optimal approximation, simulation and analog realization of the fundamental fractional order transfer function | 2024-04-03 |
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Kasiński, Andrzej - ed. Ponulak, Filip - ed.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - ed.
Kaczorek, Tadeusz (1932- ) Korbicz, Józef - red. Uciński, Dariusz - red.