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Advances in Control Theory and Applications: Selected papers from TOK 2013
(Sage Publications Ltd, 2015) Hamamci, Serdar Ethem; Tan, Nusret; Efe, Mehmet Onder; Soylemez, Mehmet Turan
[Abstract Not Available]
Analysis of Fractional Order Polynomials Using Hermite-Biehler Theorem
(Ieee, 2014) Senol, Bilal; Yeroglu, Celaleddin; Tan, Nusret
This paper presents some results for stability analysis of fractional order polynomials using the Hermite-Biehler theorem. The possibilities of the extension of the Hermite-Biehler theorem to fractional order polynomials is investigated and it is observed that the Hermite-Biehler theorem can be an effective tool for the stability analysis of fractional order polynomials. Variable changing has been applied to the fractional order polynomial to transform it into an integer order one. Roots of this polynomial are found and verified with the roots obtained using the Hermite-Biehler theorem. Stability analysis has been done investigating the interlacing property of the polynomial. Results are verified with the Radwan procedure. The method is clarified via illustrative examples.
Analysis of Output Voltage Harmonics of Voltage Source Inverter used PI and PID Controllers Optimized with ITAE Performance Criteria
(E D P Sciences, 2017) Gul, Ozan; Tan, Nusret
In this article, PI and PID controllers are designed using ITAE (Integral Time Absolute Error) Performance Criteria in order to obtain the controller parameters assuring Unproved response at selected load. The voltage source inverter (VSI) including PI and PID controllers whose parameters are estimated by minimizing errors using ITAE performance criteria are modeled in MATLAB environment. The stability analysis of the control system will be presented. VSI controlled with the PI-ITAE and the PID-ITAE controller are simulated for various loads and the results are analyzed using FFT analysis for observing and comparing the total harmonic distortion (THD) of the output voltage. The quality of the sinusoidal waveform is more important than the quantity and in order to achieve that, we need to reduce the harmonic content in the output.
Analysis of PFC and THD with the Boost Converter
(Ieee, 2015) Ozel, Akin; Tan, Nusret
In this paper, the boost converter topology which has advantages over other converter topologies is used to correct power factor and to reduce total harmonic distortion. Single Phase average current mode controlled PFC circuit is simulated by MATLAB/Simulink simulation tool and simulation results are verified. The input current and output voltage simulation waveforms are illustrated and analyzed.
Author's reply: A comment on the Robust stability analysis of fractional order interval polynomials, by Nusret Tan et al.
(Elsevier Science Inc, 2011) Tan, Nusret; Ozguven, O. Faruk; Ozyetkin, M. Mine
This author's reply addresses the comment given in the note mentioned in the title. Theorem 3 given in Tan et al. (2009) [1] uses zero exclusion principle for the stability analysis of Fractional Order Interval Polynomial (FOIP). We show that the constant degree assumption is exist in the definition of zero exclusion principle. Although it has not been clearly stated in Tan et al. (2009)11] that FOIP of Eq. (1) is a constant degree polynomial, this condition is implicit in the zero exclusion principle. Therefore, Theorem 3 is true under the constant degree assumption which is a requirement for zero exclusion principle. (C) 2010 ISA. Published by Elsevier Ltd. All rights reserved.
Charge and discharge characteristics of different types of batteries on a hybrid electric vehicle model and selection of suitable battery type for electric vehicles
(2019) Ekici, Yunus; Tan, Nusret
Abstract: The choice of battery type for electric vehicles is of great importance. For electric vehicle manufacturers, this issue is the biggest engineering problem. An electric vehicle produced with the right battery type will undoubtedly be preferred by users. In this study, the charge and discharge characteristics of four different battery types with a fixed charger were investigated. The batteries were then placed on a hybrid electric vehicle model and the charge and discharge characteristics were examined. The batteries were then placed on a hybrid electric vehicle model and the charge and discharge characteristics were examined.
Classical controller design techniques for fractional order case
(Elsevier Science Inc, 2011) Yeroglu, Celaleddin; Tan, Nusret
This paper presents some classical controller design techniques for the fractional order case. New robust lag, lag-lead. PI controller design methods for control systems with a fractional order interval transfer function (FOITF) are proposed using classical design methods with the Bode envelopes of the FOITF. These controllers satisfy the robust performance specifications of the fractional order interval plant. In order to design a classical PID controller, an optimization technique based on fractional order reference model is used. PID controller parameters are obtained using the least squares optimization method. Different PID controller parameters that satisfy stability have been obtained for the same plant. (C) 2011 ISA. Published by Elsevier Ltd. All rights reserved.
A comparative study on PI-PD controller design using stability region centroid methods for unstable, integrating and resonant systems with time delay
(Sage Publications Ltd, 2024) Irgan, Hilal; Menak, Ramazan; Tan, Nusret
In this paper, controller tuning methods based on stability region centroid methods reported in the literature are used to design PI-PD controllers for unstable, integrating and resonant systems with time delay. By analyzing the stability boundary locus (SBL) for the PD controller, which is utilized in the inner loop of this structure, the controller parameters are obtained using three methods which are the Weighted Geometric Center (WGC), Centroid of Convex Stability Region (CCSR), and Stability Triangle Approach (STA). These techniques were applied analytically, step by step. For the closed loop transfer function obtained in the inner loop of the controlled system, these three methods were utilized to design the PI controller in the outer loop, individually. Unit step responses of the controlled system, using PI-PD gains determined by each method, have been obtained. Furthermore, a disturbance of a certain time and amplitude was added to the systems to test the disturbance rejection behavior and the robustness performance of the methods. Perturbed responses were obtained through changing the model parameters at a certain rate. Time domain performance metrics were analyzed to compare the responses. The simulations were evaluated using settling time, rise time, and percentage overshoot as the assessment criteria. As a result of this study, the effectiveness of three methods, namely WGC, CCSR, and STA, in controller design for unstable, integrating, and resonant time-delay systems has been demonstrated. In addition, a comparison of time domain performance metrics is presented for the nominal and perturbed systems. Based on these comparisons, it is concluded that the methods outperform each other only in some time response performance measures. The presented results showed the advantages of these methods over each other in terms of some performance criteria. The contribution of this study to the literature is the comparative analysis of these three analytical methods.
Comparison of Adaptation Mechanisms on MRAC
(Ieee-Inst Electrical Electronics Engineers Inc, 2024) Kokcam, Ebubekir; Tan, Nusret
Model reference adaptive control (MRAC) could be designed using different adaptation mechanisms. An adaptation mechanism could affect the Model Reference Adaptive System (MRAS) performance. High adaptive gain increases the transient response performance while decreasing the robustness of the MRAS even under perfect conditions (no time delay, without unmatched uncertainty and absence of disturbance) and increasing control signal oscillation in classical MRAC. Classical MRAS do not perform satisfactorily on such time-delayed adaptive signals. This study presents and compares two different adaptation mechanisms in MRAS, which are the low-frequency learning method on MRAC and MRAC with PI adjustment mechanism. We have proposed a modification to the low-frequency learning method on MRAC to get a transient response as good as MRAC with a PI adjustment mechanism on the time delay system. The best performance is obtained from MRAS with PI adaptation mechanism.
Computation of Limit Cycles in Nonlinear Feedback Loops with Fractional Order Plants
(Ieee, 2014) Atherton, Derek P.; Tan, Nusret; Yeroglu, Celaleddin; Kavuran, Gurkan; Yuce, Ali
The paper deals with an aspect of the analysis of nonlinear feedback control systems with a fractional order transfer function. A review of the classical describing function (DF) method is given and its application to a control system with a fractional order plant is demonstrated. Unlike the DF method the frequency domain approach of Tsypkin is known to give exact results for limit cycles in relay systems and it is shown that this approach extends to systems with fractional order transfer functions. The formulation is done in terms of A loci which are related to and more general than the Tsypkin loci. Programs have been developed in MATLAB to compute the limit cycle frequency and also to show the results graphically. Examples are provided to illustrate the approach for a relay with no dead zone.
Computation of Stabilizing PI-PD Controllers
(Inst Control Robotics & Systems, Korean Inst Electrical Engineers, 2009) Tan, Nusret
The PI-PD controller structure provides an excellent four-parameter controller for control of integrating. unstable and resonant processes to set point changes while the conventional PID controller has limitations in controlling such systems. In this paper, a graphical method for the computation of all stabilizing, controllers is given. The proposed method is based on plotting the stability boundary locus, which is a locus dependent oil the parameters of the controller and frequency, in the parameter plane. The stability boundary loci are first obtained in the (K-d, K-f) and (K-p, K-i) planes and then it is shown that all the stabilizing values of the parameters of a PI-PD controller can be found. Computation of stabilizing PI-PI) controllers which achieve User specified gain and phase margins is also studied. The method is used to design robust PI-PD controllers for control systems with parametric uncertainties. A design procedure for interval control systems is proposed. Examples are given to show the benefit of the method presented.
Decoupling contro of a twin rotor MIMO system using optimization method
(Ieee, 2019) Dogruer, Tufan; Tan, Nusret
This paper presents an optimization method on the real-time decoupling control for the TRMS system. It can be stated that TRMS has a complex structure due to its nonlinear structure, cross-couplings, two inputs and two outputs. Despite its complex structure, the TRMS is widely preferred in control applications as it allows to test the controller performances. The pitch and yaw position control in TRMS has been investigated in many studies, but its decoupling control has only been discussed in a limited number of studies. In this study, the real-time decoupling control of the TRMS was performed using fractional order PID. A Genetic Algorithm based optimization method was used for determining the parameters of the fractional order PID controller. The conventional PID was compared with the fractional order PID, and the results showed that the decoupling control of the TRMS using the fractional order PID was more successful. The method applied offers a highly effective control in real-time decoupling control of the TRMS.
Design of Fractional-Order PI Controllers for Disturbance Rejection Using RDR Measure
(Ieee, 2014) Deniz, Furkan Nur; Alagoz, Baris Baykant; Keles, Cemal; Tan, Nusret
Parameter uncertainties and unpredictable environmental disturbances reduce control performance of real control systems. For a robust control performance, stability and disturbance rejection are two main concerns that should be addressed in practical controller design problems. This paper presents an analysis to deal with system stability and disturbance rejection control for fractional-order PI (FOPI) controllers. Stability Boundary Locus (SBL) is calculated for an example with FOPI control system and Reference to Disturbance Rate (RDR) performance is investigated for the chosen stable FOPI designs from the stability region obtained using SBL. MATLAB/Simulink simulation examples are used to demonstrate stable and Disturbance Rejection Control (DRC) of FOPI control systems and presents comparisons for various designs of FOPI controllers.
Design of Phase Lead and Phase Lag Filters for Fractional Order Systems
(Ieee, 2015) Dogruer, Tufan; Tan, Nusret
In this paper, a method is presented to design phase lead and phase lag filters for fractional order systems. Design of the controller in the control systems could be considered as a filter design. Therefore, the methods used for the controller design can be implemented in filter design. There are two parameters to be determined while performing phase lead and phase lag filters design. In this study, the design steps which are used for the determination of these parameters are given in third section. The method has been applied to a fractional order transfer function and the results obtained were presented as graphs. The success of the method can be seen clearly from the results obtained.
Design of PI Controller using Optimization Method in Fractional Order Control Systems
(Elsevier, 2018) Dogruer, Tufan; Tan, Nusret
In control systems, controller preference and design is an important issue for meeting the desired design criteria. In this paper, PI controller design was performed by using optimization method for fractional order systems. First, all the PI controller parameters that make the control system stable are calculated by using the stability boundary locus method. However, each controller parameter selected in the stability region may not be able to optimally control the system. Optimal controller parameters that provide the best control from the PI controller parameters that make the system stable by using the optimization method are obtained. In the optimization process, the optimal PI controller parameters are calculated by using the integral performance criterion based on the error. Simulation studies have been done for closed loop control system including a fractional order transfer function with time delay. It has been shown that the presented method can be successfully applied to fractional order control systems. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Design of stabilizing PI and PID controllers
(Taylor & Francis Ltd, 2006) Tan, Nusret; Atherton, Derek P.
In this paper, a new method for the calculation of all stabilizing PI controllers is given. The proposed method is based on plotting the stability boundary locus in the (k(p), k(i))-plane and then computing the stabilizing values of the parameters of a PI controller for a given control system. The technique presented does not require sweeping over the parameters and also does not need linear programming to solve a set of inequalities. Thus, it offers several important advantages over existing results obtained in this direction. The proposed method is also applied for computation of all stabilizing PI controllers for multi-input multi-output ( MIMO) control systems with consideration given to two-input two-output (TITO) systems using decoupling technique. Beyond stabilization, the method is used to compute all stabilizing PI controllers which achieve user-specified gain and phase margins. Furthermore, the method is extended to tackle 3-parameters PID controllers. The limiting values of PID controller parameters which stabilize a given system are obtained in the (k(p), k(i))-plane for fixed values of k(d) and (k(p), k(d))-plane for fixed values of k(i). However, for the case of PID controller, a grid on the derivative gain or integral gain is needed for computation of all stabilizing PID controllers. Examples are given to show the benefits of the method presented.
Development of a Toolbox for Frequency Response Analysis of Fractional Order Control Systems
(Ieee, 2009) Yeroglu, Celaleddin; Tan, Nusret
The paper presents development of a program in the MATLAB for the analysis of Fractional Order Control Systems (FOCS). Using this program, frequency response plots such as Nyquist plot, Bode plots and Nichols plot can be obtained. Gain and phase margins of FOCS can be estimated and suitable controller can be designed for the related control system.
Disturbance rejection performance analyses of closed loop control systems by reference to disturbance ratio
(Elsevier Science Inc, 2015) Alagoz, Bans Baykant; Deniz, Furkan Nur; Keles, Cemal; Tan, Nusret
This study investigates disturbance rejection capacity of closed loop control systems by means of reference to disturbance ratio (RDR). The RDR analysis calculates the ratio of reference signal energy to disturbance signal energy at the system output and provides a quantitative evaluation of disturbance rejection performance of control systems on the bases of communication channel limitations. Essentially, RDR provides a straightforward analytical method for the comparison and improvement of implicit disturbance rejection capacity of closed loop control systems. Theoretical analyses demonstrate us that RDR of the negative feedback closed loop control systems are determined by energy spectral density of controller transfer function. In this manner, authors derived design criteria for specifications of disturbance rejection performances of PID and fractional order PID (FOPID) controller structures. RDR spectra are calculated for investigation of frequency dependence of disturbance rejection capacity and spectral RDR analyses are carried out for PID and FOPID controllers. For the validation of theoretical results, simulation examples are presented. (C) 2014 ISA. Published by Elsevier Ltd. All rights reserved.
Effect of Shunt Capacitors on Power Systems Containing Renewable Energy Resources
(Ieee, 2015) Gul, Ozan; Kaygusuz, Asim; Tan, Nusret
In this paper, the effects of shunt capacitor on electrical network integrated with renewable energy resources are investigated. For this proposes, we conduct 24-hours load flow analyses for IEEE 39 buses power system containing intermittent renewable sources modeled by hourly generation profiles during a day using Matlab program, and then shunt capacitor connected to the selected load buses on systems and power factor changes in buses are evaluated during a day.
Electronic realisation technique for fractional order integrators
(Wiley, 2020) Yuce, Ali; Tan, Nusret
In this study, a new method is presented for the realisation of the fractional order integrator. First, integer order approximate methods are analysed, then based on this analysis and using existing successfully applied approximate methods given in the literature, the design of fractional order integrators with active circuit elements is studied. In other words, fractance elements are developed. Operational amplifier is preferred in the design of fractional order integrator. Time responses of fractional order integrator circuits are computed by using Multisim software of National Instruments. Then the results are compared and verified with the results obtained from Matlab.

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