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

Identyfikatory

DOI

10.2478/amcs-2019-0023

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

curve fitting; fractional order PID controller; frequency response; integer order approximation; Oustaloup approximation; Matsuda approximation

PL

dopasowywanie krzywej; ułamkowy regulator PID; odpowiedź częstotliwościowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2019
• Tom: Vol. 29, no. 2
• Strony: 311--326
• Opis fizyczny: Bibliogr. 43 poz., tab., wykr.

Twórcy

autor

Bingi Kishore

• Department of Electrical and Electronics Engineering, PETRONAS University of Technology, Seri Iskandar, 32610 Perak, Malaysia

autor

Ibrahim Rosdiazli

• Department of Electrical and Electronics Engineering, PETRONAS University of Technology, Seri Iskandar, 32610 Perak, Malaysia

autor

Karsiti Mohd Noh

• Department of Electrical and Electronics Engineering, PETRONAS University of Technology, Seri Iskandar, 32610 Perak, Malaysia

autor

Hassam Sabo Miya

• Department of Electrical and Electronics Engineering, Abubakar Tafawa Balewa University, PMB 0248 Bauchi, Nigeria

autor

Harindran Vivekananda Rajah

• Instrumentation and Control, PETRONAS Group Technical Solutions, Jalan Sultan Hishamuddin, 50050 Kuala Lumpur, Malaysia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).