On the Misunderstanding of the Ziegler-Nichols's Formulae Usage

Alexandro Garro Brito

doi:10.1109/JAS.2019.1911336

Volume 6 Issue 1

Jan. 2019

IEEE/CAA Journal of Automatica Sinica

JCR Impact Factor: 15.3, Top 1 (SCI Q1)

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Alexandro Garro Brito, "On the Misunderstanding of the Ziegler-Nichols's Formulae Usage," IEEE/CAA J. Autom. Sinica, vol. 6, no. 1, pp. 142-147, Jan. 2019. doi: 10.1109/JAS.2019.1911336

Citation:

Alexandro Garro Brito, "On the Misunderstanding of the Ziegler-Nichols's Formulae Usage," IEEE/CAA J. Autom. Sinica, vol. 6, no. 1, pp. 142-147, Jan. 2019. doi: 10.1109/JAS.2019.1911336

Alexandro Garro Brito, "On the Misunderstanding of the Ziegler-Nichols's Formulae Usage," IEEE/CAA J. Autom. Sinica, vol. 6, no. 1, pp. 142-147, Jan. 2019. doi: 10.1109/JAS.2019.1911336

Citation:

Alexandro Garro Brito, "On the Misunderstanding of the Ziegler-Nichols's Formulae Usage," IEEE/CAA J. Autom. Sinica, vol. 6, no. 1, pp. 142-147, Jan. 2019. doi: 10.1109/JAS.2019.1911336

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On the Misunderstanding of the Ziegler-Nichols's Formulae Usage

doi: 10.1109/JAS.2019.1911336

Alexandro Garro Brito

Federal University of Santa Catarina, Rua Dona Francisca 8300, Joinville/SC, 89. 218-035, Brazil

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Abstract

Abstract

In the Ziegler-Nichols's method of reaction curve, the proportional gain should be calculated as an inverse relation of the plant steady-state gain. One of the reasons behind this is to avoid an excessively high loop gain, which can jeopardize many required characteristics of the closed loop. However, many reports, scientific papers and books have been neglecting such gain compensation in the tuning formulae.This brief presents a comprehensive discussion about such uncompensated tuning rules. The main paper finding is that either the stability margin or the disturbance rejection is reduced in this case. A theoretical analysis is performed to obtain the main result. Moreover, a consistent simulation study is also performed to show the impact of the lack of compensation on performance.
- Controller tuning,
- process control,
- reaction curve

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References(19)

References

[1]	J. Ziegler and N. Nichols, "Optimum settings for automatic controllers", Transaction of ASME, vol. 64, no. 11, pp. 759-765, Nov. 1942.
[2]	T. Narmadha, J. Velu and T.Sudhakar, "Comparison of Performance Measures for PV based Super-Lift Luo-Converter using Hybrid Controller with Conventional Controller", Indian Journal of Science and Technology, vol. 9, no. 29, Aug. 2016. https://www.researchgate.net/publication/306389348_Comparison_of_Performance_Measures_for_PV_based_Super-Lift_Luo-Converter_using_Hybrid_Controller_with_Conventional_Controller
[3]	A. Myrtellari, P. Marango and M. Gjonaj, "Analysis and Performance of Linear Quadratic Regulator and PSO algorithm in optimal control of DC motor", Intern. Journ. Latest Research in Engin. and Tech., vol. 2, no. 4, Apr. 2016.
[4]	T. Salsbury, and B. Chien, "A new sequencer controller for multistage systems of known relative capacities", HVAC & R Research, vol. 8, no. 4, pp. 403-428, Oct. 2002. http://www.researchgate.net/publication/233246635_a_new_sequencer_controller_for_multistage_systems_of_known_relative_capacities
[5]	N. Habobi and S. Yaseen, "Dynamics, Simulation, and Control of a Batch Distillation Column using Labview", Intern. Jour. Current Eng. and Tech., vol. 6, no. 1, Feb. 2016. https://www.researchgate.net/publication/305611090_Dynamics_Simulation_and_Control_of_a_Batch_Distillation_Column_using_Labview
[6]	I. Hong, Y. Song and Y. Cho, "A control system of a negative hydrogen ion sources by using an EPICS-based proportional-integral-derivative", Review of Scientific Instruments, vol. 79(02C706), pp. 1-3, Feb. 2008. https://www.ncbi.nlm.nih.gov/pubmed/18315259
[7]	X. Hea, T. Cuia, D.Zhanga, J. Weib, M. Wanga, Y. Yua, Q. Liua, B. Yana, D. Zhaoa and L. Yanga. "Development of an electric-driven control system for a precision planter based on a closed-loop PID algorithm", Computers and Electronics in Agriculture, vol. 136, no. 15, pp. 184-192, Apr. 2017. https://www.researchgate.net/publication/315541414_Development_of_an_electric-driven_control_system_for_a_precision_planter_based_on_a_closed-loop_PID_algorithm
[8]	M. Can and O. Ozguven, "PID Tuning with Neutrosophic Similarity Measure", Int. J. Fuzzy Systems, vol. 19, no. 2, pp. 489-503, Feb. 2017. doi: 10.1007%2Fs40815-015-0136-y
[9]	H. Lui, Z. Jia, F. Wang and F. Zong, "Research on the constant output force control system for giant magnetostrictive actuator disturbed by external force", Mechatronics, vol. 22, no. 7, pp. 911-922, Oct. 2012. https://www.sciencedirect.com/science/article/abs/pii/S0957415812001018
[10]	P. Solatian, S. Abbasi and F. Shabaninia, "Simulation study of flow control based on PID ANFIS controller for non-linear process plants", American Journal of Intelligent Systems, vol. 2, no. 5, pp. 104-110, Oct. 2012 https://www.researchgate.net/publication/275295288_Simulation_Study_of_Flow_Control_Based_On_PID_ANFIS_Controller_for_Non-Linear_Process_Plants
[11]	P. Kasinathan, R. Vairamani and S. Sundramoorthy, "Dynamic performance investigation of d model with PID controller-based unified power-flow controller", IET Power Electronics, vol. 6, no. 5, pp. 843-850, Jul. 2013. Dynamic performance investigation of d model with PID controller-based unified power-flow controller
[12]	N. Bahgaat, M. El-Sayed, M. Hassan and F. Bendary, "Load frequency control in power system via improving PID controller based on particle swarm optimization and ANFIS techniques." Intern. Journ. Syst. Dynamics App., vol. 3, no. 3, pp. 1-24, Jul. 2014. https://www.researchgate.net/publication/260230529_Load_Frequency_Control_in_Power_System_via_Improving_PID_Controller_Based_on_Particle_Swarm_Optimization_and_ANFIS_Techniques
[13]	K. Ogata. Modern Control Engineering (4th edition). Upper Saddle River, NJ, USA: Prentice Hall, 2001.
[14]	M. Srivastava, M.C. Srivastava and S. Bhatnagar. Control Systems. New Delhi, India: Tata McGraW-Hill, 2009.
[15]	S. Konami and T. Nishiumi. Hydraulic Control Systems: Theory and Practice. Toh Tuck Link, Singapore: World Scientific Publ., 2017.
[16]	W. Ho, C. Hang, J. Zhou, "Performance and gain and phase margins of well-known PI tuning formulas", IEEE Transactions on Control Systems Technology, vol. 3, no. 2, pp. 245-248, Jun. 1995. http://www.researchgate.net/publication/3331830_Performance_and_gain_and_phase_margins_of_well-known_PI_tuningformulas
[17]	W. Ho, O. Gan, E. Tay, E. Ang, "Performance and gain and phase margins of well-known PID tuning formulas", IEEE Transactions on Control Systems Technology, vol. 4, no. 4, pp. 473-477, Jul. 1996. http://www.researchgate.net/publication/3331830_Performance_and_gain_and_phase_margins_of_well-known_PI_tuningformulas
[18]	A. O'Dwyer. Handbook of PI and PID Controller Tuning Rules (3rd edition), London, UK: Imperial College Press, 2009.
[19]	K. Aström and T. Hagglund, "Revisiting the Ziegler-Nichols step response method for PID control", Journal of Process Control, vol. 14, no. 6, pp. 635-650, Jan. 2004. https://www.sciencedirect.com/science/article/pii/S0959152404000034

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On the Misunderstanding of the Ziegler-Nichols's Formulae Usage

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