An Integer-Order Transfer Function Estimation Algorithm for Fractional-Order PID Controllers

Kishore Bingi, Rosdiazli Ibrahim, Mohd Noh Karsiti, Sabo Miya Hassan and Vivekananda Rajah Harindran
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Kishore Bingi: Universiti Teknologi Petronas, Seri Iskandar, Malaysia
Rosdiazli Ibrahim: Universiti Teknologi Petronas, Seri Iskandar, Malaysia
Mohd Noh Karsiti: Universiti Teknologi Petronas, Seri Iskandar, Malaysia
Sabo Miya Hassan: Abubakar Tafawa Balewa University, Bauchi, Nigeria
Vivekananda Rajah Harindran: Petronas Group Technical Solutions, Selangor, Malaysia

International Journal of Applied Metaheuristic Computing (IJAMC), 2020, vol. 11, issue 3, 133-150

Abstract: Fractional-order systems and controllers have been extensively used in many control applications to achieve robust modeling and controlling performance. To implement these systems, curve fitting based integer-order transfer function estimation techniques namely Oustaloup and Matsuda are most widely used. However, these methods are failed to achieve the best approximation due to the limitation of the desired frequency range. Thus, this article presents a simple curve fitting based integer-order transfer function estimation method for fractional-order differentiator/integrator using frequency response. The advantage of this technique is that it is simple and can fit the entire desired frequency range. Using the approach, an approximation table for fractional-order differentiator has also been obtained which can be used directly to obtain the approximation of fractional-order systems. A simulation study on fractional systems shows that the proposed approach produced better parameter approximation for the desired frequency as compared to Oustaloup, refined Oustaloup and Matsuda techniques.

Date: 2020
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