@article{article_350279, title={PID Controller Design Based on Reference Model in Fractional Order Control Systems}, journal={Bilge International Journal of Science and Technology Research}, volume={1}, pages={52–58}, year={2017}, author={Doğruer, Tufan and Yüce, Ali and Tan, Nusret}, keywords={PID Kontrolör,Optimizasyon,Kesir dereceli sistemler}, abstract={<p style="text-align:justify;"> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">In
the modeling of physical systems, fractional order systems are known to perform
a more successful modelling than integer order systems. In this paper, PID
controller design was performed according to a reference model for a fractional
order system. The main purpose of the study is to obtain PID controller
parameters according to a desired time response in the output signal. It is
aimed to obtain the optimum PID parameters by minimizing the error between the
reference model and controlled system. Integral performance criteria were used
to minimize the error. The reference model is a transfer function of a second
order system. </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;"> </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">This transfer function has two parameters that
need to be set. </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;"> </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">These parameters are natural frequency ( <i>ω <sub>n </sub> </i>) and damping ratio (ζ). By
setting these two parameters, desired unit step response curve can be obtained. </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;"> </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">PID
controller parameters were obtained by optimization method. </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;"> </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">Optimization
describes problem-solving processes in a systematic way by minimizing or
maximizing a real function and placing values in the function. </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;"> </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">PID
controller parameters are obtained by optimizing according to model transfer
functions. </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;"> </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">By applying the calculated PID controller
parameters to the fractional order control system, the unit step responses are
obtained. </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;"> </span> <span style="font-size:11pt;line-height:107%;font-family:Calibri, ’sans-serif’;">The success of the optimization method can be
seen from the graphs obtained and from the given tables. </span> <br /> </p>}, number={1}, publisher={Kutbilge Akademisyenler Derneği}