- Tytuł:
- Frequency response based curve fitting approximation of fractional-order PID controllers
- Autorzy:
-
Bingi, Kishore
Ibrahim, Rosdiazli
Karsiti, Mohd Noh
Hassam, Sabo Miya
Harindran, Vivekananda Rajah - Powiązania:
- https://bibliotekanauki.pl/articles/331064.pdf
- Data publikacji:
- 2019
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
curve fitting
fractional order PID controller
frequency response
integer order approximation
Oustaloup approximation
Matsuda approximation
dopasowywanie krzywej
ułamkowy regulator PID
odpowiedź częstotliwościowa - Opis:
- Fractional-order PID (FOPID) controllers have been used extensively in many control applications to achieve robust control performance. To implement these controllers, curve fitting approximation techniques are widely employed to obtain integer-order approximation of FOPID. The most popular and widely used approximation techniques include the Oustaloup, Matsuda and Cheraff approaches. However, these methods are unable to achieve the best approximation due to the limitation in the desired frequency range. Thus, this paper proposes a simple curve fitting based integer-order approximation method for a fractional-order integrator/differentiator using frequency response. The advantage of this technique is that it is simple and can fit the entire desired frequency range. Simulation results in the frequency domain show that the proposed approach produces better parameter approximation for the desired frequency range compared with the Oustaloup, refined Oustaloup and Matsuda techniques. Furthermore, time domain and stability analyses also validate the frequency domain results.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2019, 29, 2; 311-326
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł