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Öğe An Approach to Preserve Optimality in Implementation of Fractional Order PID Controllers Considering Approximation Methods(Institute of Electrical and Electronics Engineers Inc., 2022) Deniz F.N.Preservation of optimal values for a fractional order PID (FOPID) controller design can be a problem in the real-world implementation. This is because a FOPID controller, which has theoretically ideal design in the frequency domain, needs to be implemented by using an approximation method in the real-world. Incorporating the approximation method into the design process can overcome this problem so that optimal design parameters can be preserved in the controller implementation. In this study, an optimal FOPID was designed by incorporating the approximation method into the design process. In addition, for comparison purposes, FOPID controllers were designed without including the approximation method in the design process. The frequency responses obtained for these FOPIDs were compared with those obtained with the ideal FOPIDs. It has been shown that optimal values can be preserved in an implementation with the proposed approach. FOPID controller parameters were obtained using a genetic algorithm for an inverse controller design based on the Bode's ideal transfer function. © 2022 IEEE.Öğe Comparative Performance Evaluation of Fractional Fuzzy Inference System for A High-Order System(Institute of Electrical and Electronics Engineers Inc., 2023) Cengiz M.; Deniz F.N.; Ozguven O.In this study, the effect of the Fractional Fuzzy Inference System (FFIS) on the performance of the fuzzy logic-based control system was examined, with comparisons made to both a typical fuzzy controller and a PID controller. Additionally, a Genetic Algorithm (GA) was utilized to fine-tune the universe of input and output variables for the Fuzzy Logic Controller (FLC) built with FFIS. A high-order system, in which control with classical methods is considered difficult, was chosen to be employed for the performance evaluation. As a result, it has been observed that the use of FFIS in controlling the high-order system leads to a more satisfactory control performance. This study demonstrates that FFIS has the capacity to enhance performance in fuzzy logic-based control systems and can serve as a more effective control strategy. © 2023 IEEE.Öğe Exact time response computation of control systems with fractional order lag and lead compensators(North Atlantic University Union, 2016) Tan N.; Atherton D.P.; Yuce A.; Deniz F.N.In this paper, two exact methods are developed for the computation of unit step and unit impulse responses of closed loop control systems with fractional order lag and lead compensators. The methods are based on using the frequency response data of the closed loop fractional order control system. It is shown that the unit step and unit impulse responses of a feedback control system including a fractional order lag or lead controller can be computed exactly using Fourier series of a square wave and inverse Fourier transform of frequency response information namely gain and phase values. Time response equations which are the function of controller parameters are derived. A design procedure is given for estimating the parameters of a fractional order lag or lead compensator which give specified performance values of the closed loop system. Numerical examples are provided to show the success of the presented method. © 2016, North Atlantic University Union. All rights reserved.Öğe 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.