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Öğe Note on fractional-order proportional-integral-differential controller design(Inst Engineering Technology-Iet, 2011) Yeroglu, C.; Tan, N.This study deals with the design of fractional-order proportional-integral-differential (PID) controllers. Two design techniques are presented for tuning the parameters of the controller. The first method uses the idea of the Ziegler-Nichols and the Astrom-Hagglund methods. In order to achieve required performances, two non-linear equations are derived and solved to obtain the fractional orders of the integral term and the derivative term of the fractional-order PID controller. Then, an optimisation strategy is applied to obtain new values of the controller parameters, which give improved step response. The second method is related with the robust fractional-order PID controllers. A design procedure is given using the Bode envelopes of the control systems with parametric uncertainty. Five non-linear equations are derived using the worst-case values obtained from the Bode envelopes. Robust fractional-order PID controller is designed from the solution of these equations. Simulation examples are provided to show the benefits of the methods presented.Öğe PID Tuning Method for Integrating Processes Having Time Delay and Inverse Response(Elsevier, 2018) Ozyetkin, M. M.; Onat, C.; Tan, N.In this paper, a PID tuning method for integrating processes having time delay and inverse response is presented. The method is based on the stability boundary locus method and geometrical center (WGC) approach. The systematic procedure of the method is first to obtain the stability region in the PI controller parameters (proportional gain: k(p) and integral gain: k(i)) plane according to derivative gain (k(d)) using the stability boundary locus method and then to find the weighted geometrical center point of this region. The WGC controllers are obtained by using different values of k(d). Simulation examples have demonstrated that PID controller designed by using the proposed method gives good results. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.Öğe Practical Tuning Algorithm of PD? Controller for Processes with Time Delay(Elsevier, 2017) Ozyetkin, M. M.; Tan, N.In this paper, a practical tuning algorithm of fractional order PD controller for processes with time delay using the weighted geometrical center (WGC) method is presented. This method is based on calculating of the stabilizing PD mu controller parameters region which is plotted using the stability boundary locus in the (k(d), k(p)) plane and computing the weighted geometrical center of stability region. The important advantages of the proposed method are both calculating of controller parameters without using complex graphical methods and ensuring the stability of closed loop system. From the examples, it can be easily seen that this simple tuning method can perform quite reliable results in that unit step response. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.