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.
Keywords
Order (exchange)
Algorithm
Computer science
Genetic algorithm
Applied mathematics
Mathematics
Machine learning
Finance
Subject Areas
Advanced Control Systems Design
·Control and Systems Engineering ·Physical Sciences