İkinci Derece Zaman Gecikmeli Sistemler için Analitik PD Denetleyici Tasarımı

Year 2019, , 65 - 74, 29.03.2019

Uğur Demiroğlu Bilal Şenol

https://doi.org/10.31200/makuubd.498379

Abstract

Bu yayında ikinci derece zaman gecikmeli
sistemlerin kararlılığı ve performansı için oransal türev denetleyicinin
analitik tasarımı şeması gösterilmiştir. Bu sistem için Bode’nin ideal transfer
fonksiyonunun karakteristiğinden esinlenerek kazanç kesim frekansı ve faz payı
gereksinimleri ele alınmıştır. Daha sonra bu gereksinimler denetleyicinin
parametrelerini elde etmek için kullanılmıştır. Bu çalışmada önerilen yöntem
sözü edilen sistemler için genelleştirilmiş denklemleri vermektedir. Önerilen
yöntemle analitik olarak türetilen formüller literatürde var olan sistemler
üzerinde denenmiş ve sonuçlar grafiksel olarak gösterilmiştir. Bu ayarlama
yönteminin istenen kazanç kesim frekansı ve faz payı özelliklerini sağladığı
gösterilmiştir.

Keywords

SOPTD sistem, PD denetleyici, kazanç kesim frekansı, faz payı

Analytical Design of PD Controllers for Time Delay Systems in the Second Order

Abstract

This paper intends to present the design scheme
of a Proportional Derivative controller for stability and performance of time
delay systems in the second order. Inspired from Bode’s ideal system
characteristics, phase margin and gain crossover frequency specifications are
considered for the system. Then, these specifications are used to obtain the
parameters of the controller. The method proposed in the study achieves general
computation equations for mentioned systems. Analytically derived formulas by
the proposed method are tested with existing plants in the literature and the
results are illustrated graphically. It is shown that the tuning method
satisfies desired gain crossover frequency and phase margin specifications.

Keywords

SOPTD plant, PD controller, gain crossover frequency, phase margin.

References

• Cvejn, J. (2016). PID control of FOPDT plants with dominant dead time based on the modulus optimum criterion, Archives of Control Sciences, 26(1), 5-17.
• Lee, J., Lee. Y., Yang, D.R. and Edgar, T.F. (2018). Simple Proportional Integral Controller Tuning Rules for FOPTD and HOPTD Models Based on Matching Two Asymptotes, Industrial & Engineering Chemistry Research, 57(8), 2905-2916.
• Liu, H., Li, D., Xi, J., and Zhong, Y. (2016). Robust attitude controller design for miniature quadrotors, International Journal of Robust and Nonlinear Control, 26, 681–696.
• Madhuranthakam, C.R., Elkamel, A. and Budman, H. (2008). Optimal tuning of PID controllers for FOPTD, SOPTD and SOPTD with lead processes, Chemical Engineering and Processing: Process Intensification, 47(2), 251-264.
• Padhy, S. and Sidhartha, P. (2017). A hybrid stochastic fractal search and pattern search technique based cascade PI-PD controller for automatic generation control of multi-source power systems in presence of plug in electric vehicles, CAAI Transactions on Intelligence Technology, 2(1), 12-25.
• Padhy, S., Sidhartha, P. and Mahapatra, S. (2017). A modified GWO technique based cascade PI-PD controller for AGC of power systems in presence of Plug in Electric Vehicles, Engineering Science and Technology, 20(2), 427-442.
• Rajapandiyan, C. and Chidambaram, M. (2012). Closed-Loop Identification of Second-Order Plus Time Delay (SOPTD) Model of Multivariable Systems by Optimization Method, Industrial & Engineering Chemistry Research, 51(28), 9620-9633.
• Ramakrishnan, V. and Chidambaram, M. (2003). Estimation of a SOPTD transfer function model using a single asymmetrical relay feedback test, Computers & Chemical Engineering, 27(12), 1779-1784.
• Rashid, A.R.M., Siddikhan, P.M., Selvakumar, C. and Suresh, M. (2017). The performance analysis of PID controller with setpoint filter and anti integral Windup for a FOPDT thermal process, Third International Conference on Sensing, Signal Processing and Security (ICSSS), Chennai, India.
• Tajaddodianfar, F., Moheimani, S.O.R., Owen, J. and Randall, J.N. (2017). A self-tuning controller for high-performance scanning tunneling microscopy, IEEE Conference on Control Technology and Applications (CCTA), Mauna Lani, USA.
• Wang, J., Zong, Q., Su, R. and Tian, B. (2014). Continuous high order sliding mode controller design for a flexible air-breathing hypersonic vehicle, ISA Transactions, 53(3), 690-698.