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    Computing step and impulse responses of closed loop fractional order time delay control systems using frequency response data
    (Springer Berlin Heidelberg, 2017) Tan N.; Atherton D.P.; Yüce A.
    This paper deals with the computation of accurate step and impulse responses of fractional order control systems with time delay. Two elegant methods which are extensions of the methods previously obtained by the authors for systems without a time delay are given. The first method is called the Fourier series method and the second method is the inverse Fourier transform method. The results obtained from these methods are exact since the methods use frequency domain data of fractional order transfer functions which can be computed exactly. Time response equations which are functions of the frequency response data of the fractional order PID, lag or lead controllers, and plant are derived. Numerical examples are given to illustrate the results. © 2016, Springer-Verlag Berlin Heidelberg.
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    Tuning of PI-PD controller based on standard forms for fractional order systems
    (L and H Scientific Publishing, LLC, 2019) Deniz F.N.; Yüce A.; Tan N.
    In this paper, a PI-PD controller tuning method is proposed for fractional order systems based on standard forms. SBL fitting integer order approximation method is directly used to obtain appropriate integer order transfer function required in standard forms for the controller design. The controller tuning parameters for approximate transfer function are calculated by using optimization of ISTE integral performance criterion. The obtained tuning parameters are performed for fractional order transfer function. Results give good performance. The results show that the performance of the proposed method is practicable and that the controller parameters for the fractional order models can be tuned by using its integer order approximation transfer function. Also, the results shows that the other methods such as Oustaloup's and Matsuda's methods which enable one to obtain integer order approximate transfer functions, cannot be used directly because they do not conform to the standard form. © 2019 L & H Scientific Publishing, LLC.