“Relaxed Ziegler-Nichols Closed Loop Tuning of PI Controllers”

Authors: Finn Haugen and Bernt Lie,
Affiliation: Telemark University College
Reference: 2013, Vol 34, No 2, pp. 83-97.

Keywords: PI controller, tuning, open loop, closed loop, Ziegler-Nichols, Tyreus-Luyben, Skogestad, relay-tuning,performance, stability, robustness

Abstract: A modification of the PI setting of the Ziegler-Nichols closed loop tuningmethod is proposed. The modification is based on a combination of the Skogestad SIMCtuning formulas for ´´integrator plus time-delay´´ processes with the Ziegler-Nichols tuning formulas assuming that the process is modeled as an ´´integrator plus time-delay´´ process. The resulting PI settings provide improved stability margins compared with those obtained with the original Ziegler-Nichols PI settings. Compared with the well-known Tyreus-Luyben PI settings, the proposed PI settings give improved disturbance compensation. For processes with zero or a negligible time-delay, but with some lags in the form of time-constants, tuning based on ultimate gain and ultimate period may give poor results. Successful PI settings for such processes are proposed.

PDF PDF (810 Kb)        DOI: 10.4173/mic.2013.2.4

DOI forward links to this article:
[1] Finn Haugen, Rune Bakke and Bernt Lie (2013), doi:10.4173/mic.2013.3.4
[2] Finn Haugen, Rune Bakke and Bernt Lie (2013), doi:10.4173/mic.2013.3.1
[3] Finn Haugen, Rune Bakke and Bernt Lie (2014), doi:10.1155/2014/572621
[4] Nam Hoai Nguyen and Phuoc Doan Nguyen (2018), doi:10.1049/iet-cta.2018.5076
[5] Ryszard S. Romaniuk, Maciej Linczuk, Jakub Sobecki, Wojciech Walendziuk and Adam Idzkowski (2017), doi:10.1117/12.2280733
[6] Ilhan Kocaarslan, Sude Kart, Naci Genc and Hasan Uzmus (2019), doi:10.1007/s00202-019-00871-0
[7] Hongyu Jie, Hongbing Xu, Xiaoshuai Xin, Gang Zheng and Luole Guo (2020), doi:10.1109/ICET49382.2020.9119562
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  title={{Relaxed Ziegler-Nichols Closed Loop Tuning of PI Controllers}},
  author={Haugen, Finn and Lie, Bernt},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}