Comparison of Frequency-Based Approximations for Fractional-Order Systems Using Genetic Algorithm Genetik Algoritma ile Kesirli Dereceli Sistemler i in Frekans Tabanli Yaklasimlarin Karsilastirilmasi

Astekin D., Degirmenci A. M., Istefanopulos Y.

33rd IEEE Conference on Signal Processing and Communications Applications, SIU 2025, İstanbul, Turkey, 25 - 28 June 2025, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1109/siu66497.2025.11111827
  • City: İstanbul
  • Country: Turkey
  • Keywords: Approximation, Fractional-order systems, Frequency-based systems, Genetic algorithm, Realization
  • Yıldız Technical University Affiliated: Yes

Abstract

Unlike integer-order systems, fractional-order systems include fractional integral or derivative terms, which inherently increases computational complexity. Therefore, several approximation methods have been proposed by researchers to handle these challenges. This paper presents a comparative study of frequency-based approximation methods for fractional-order systems and a comparison of the fractional-order system and approximations with a fractional-order PID controller designed by genetic algorithm, one of the optimization methods. The compared methods are modeled in MATLAB/Simulink, and simulation results have been given.