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“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.

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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


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[3] DiRuscio, D. (2010). On Tuning PI Controllers for Integrating Plus Time Delay Systems, Modeling, Identification and Control, 3.4:145--164 doi:10.4173/mic.2010.4.3
[4] Haugen, F. (2012). The good gain method for simple experimental tuning of pi controllers, Modeling, Identification and Control, 3.4:141--152 doi:10.4173/mic.2012.4.3
[5] Haugen, F. (2013). Air heater, http://home.hit.no/finnh/air_heater.
[6] Haugen, F., Bakke, R., Lie, B. (2013). Temperature control of a pilot anaerobic digestion reactor, Submitted to Modeling, Identification and Control.
[7] Haugen, F. Lie, B. (2013). On-off and pid control of methane gas production of a pilot anaerobic digestion reactor, Submitted to Modeling, Identification and Control.
[8] Seborg, D.E., Edgar, T.F., Mellichamp, D.A. (2004). Process Dynamics and Control, John Wiley and Sons.
[9] Skogestad, S. (2004). Simple analytic rules for model reduction and pid controller tuning, Modeling, Identification and Control, 2.2:85--120 doi:10.4173/mic.2004.2.2
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[12] Ziegler, J. Nichols, N. (1942). Optimum settings for automatic controllers, Trans. ASME, 6.3:759--768 doi:10.1115/1.2899060


BibTeX:
@article{MIC-2013-2-4,
  title={{Relaxed Ziegler-Nichols Closed Loop Tuning of PI Controllers}},
  author={Haugen, Finn and Lie, Bernt},
  journal={Modeling, Identification and Control},
  volume={34},
  number={2},
  pages={83--97},
  year={2013},
  doi={10.4173/mic.2013.2.4},
  publisher={Norwegian Society of Automatic Control}
};

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