PID Controller Design for a Fractional Order System using Bode’s Ideal Transfer Function

Year 2017, Volume: 9 Issue: 3, 126 - 135, 26.12.2017

Tufan Doğruer , Ali Yüce Nusret Tan

https://doi.org/10.29137/umagd.350725

Abstract

In this paper, an optimization method is
proposed to design a fractional order system with PID controller by taking
Bode’s ideal transfer function as reference model. In the study, PID
controllers are preferred because of their simplicity, reliability and
robustness. PID controller parameters can be obtained by optimization method.
In order to obtain the desired time response, it is sufficient to set two
parameters in the Bode’s ideal transfer function. The Bode's ideal transfer
function was considered as the reference model and compared with the generated
model. The error in the output signal is minimized by the integral performance
criteria, and the PID controller parameters are optimized. Integral performance
criteria are frequently used in evaluating the performance of control systems.
In Simulink model, Matsuda's 4th order integer approximation model is used for
fractional order control system. Finally, the success of the optimization
method is seen in the given numerical example.

Keywords

Controller design, Optimization, Fractional order control systems, PID Controller

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