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Öğe PI-PD controller design for time delay systems via the weighted geometrical center method(Wiley, 2020) Ozyetkin, Munevver Mine; Onat, Cem; Tan, NusretIn this study, a PI-PD controller tuning method is presented using the weighted geometrical center method, which is based on the calculation of the weighted geometric center of the stability region obtained by the stability boundary locus method. The proposed method for tuning of PI-PD controller parameters (k(d),k(f),k(p)andk(i)) is performed in three steps. In the first step, the (k(d),k(f))parameter region for the inner loop with PD controller is obtained, and then the weighted geometric center of this region is calculated. In the second step, the inner PD loop is reduced to a single block using the numerical values of (k(d),k(f))that are obtained in the first step. Then, the (k(p),k(i))values of the external loop with PI controller are determined by the same procedure. This tuning method has some advantages over other tuning methods in terms of simplicity and robustness. The simulation examples show that a PI-PD controller designed using the proposed method provides good performance results when compared to other tuning methods presented in the literature.Öğe A Simple Graphical-Based Proportional-Integral-Derivative Tuning Method for Time-Delay Systems(Aves, 2023) Cetintas, Gulten; Ozyetkin, Munevver Mine; Hamamci, Serdar EthemIn this paper, a graphical-based proportional-integral-derivative (PID) tuning technique for time-delay systems is presented. The suggested tuning technique combines the stability boundary locus (SBL) method with the weighted geometrical center (WGC) concept. The plot of the stability region obtained by using real root boundary (RRB), infinite root boundary (IRB), and complex root boundary (CRB) in the parameter plane forms the basis of the proposed method. The tuning steps of the method can be expressed as follows. First, the stability region in (k(d), k(p)) -plane is obtained using the SBL for the fixed RRB line. Thus, the stability value range of the k(d) parameter is determined. Second, using these k(d) values, the entire set of stability regions in (k(p), k(i)) -plane is obtained. These regions constitute a three-dimensional global stability region in (k(p), k(i),k(d)) space. Finally, the WGC points of stability regions in each (k(p),k(i)) -plane are calculated. The center point having the best time domain performance among these WGC points is determined. This point gives the PID tuning parameters for the proposed method. The simulation results indicate that the presented tuning technique gives simple and reliable results and is useful in the stability analysis and the control of time-delay systems.