Bilge International Journal of Science and Technology Research

Yazarlar: Tufan DOĞRUER, Ali YÜCE, Nusret TAN

Konular:Mühendislik, Elektrik ve Elektronik

Anahtar Kelimeler:PID Controller,Optimization,Fractional order systems

Özet: 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. This transfer function has two parameters that need to be set. These parameters are natural frequency (ωn) and damping ratio (ζ). By setting these two parameters, desired unit step response curve can be obtained. PID controller parameters were obtained by optimization method. Optimization describes problem-solving processes in a systematic way by minimizing or maximizing a real function and placing values in the function. PID controller parameters are obtained by optimizing according to model transfer functions. By applying the calculated PID controller parameters to the fractional order control system, the unit step responses are obtained. The success of the optimization method can be seen from the graphs obtained and from the given tables.

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