Volume 32, Issue 18 pp. 9525-9541
SPECIAL ISSUE ARTICLE

A unifying Ziegler–Nichols tuning method based on active disturbance rejection

Zhuo-Yun Nie

Corresponding Author

Zhuo-Yun Nie

School of Information Science and Engineering, Huaqiao University, Xiamen, China

Correspondence

Zhuo-Yun Nie, School of Information Science and Engineering, Huaqiao University, 361021 Xiamen, China.

Email: [email protected]

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Zhaoyang Li

Zhaoyang Li

School of Information Science and Engineering, Huaqiao University, Xiamen, China

Shanghai Institute of Technical physics, Chinese Academy of Sciences, Shanghai, China

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Qing-Guo Wang

Qing-Guo Wang

Institute of Artificial Intelligence and Future Networks, Beijing Normal University at Zhuhai, BNU-HKBU United International College, Zhuhai, P. R. China

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Zhiqiang Gao

Zhiqiang Gao

Center for Advanced Control Technologies, Cleveland State University, Cleveland, Ohio, USA

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Jiliang Luo

Jiliang Luo

School of Information Science and Engineering, Huaqiao University, Xiamen, China

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First published: 21 October 2021
Citations: 10

Funding information: Promotion Program for Young and Middle-aged Teachers in Science and Technology Research of Huaqiao, Z14Y0002; ZQNPY408; Natural Science Foundation of Fujian Province, 2019J01053; Huaqiao University

Abstract

The landmark Ziegler–Nichols (ZN) tuning method from 1942 for proportional-integral-derivative (PID) controller has had significant impacts on the industrial control industry to this day, even though it is thought to be an empirical method with little theoretical justifications. The situation has not changed much despite the fact that a large amount of research and applications has been reported over decades. This paper shows for the first time that the ZN tuning can be incorporated into the framework of active disturbance rejection (ADR), where the process dynamics is made to match the desired one. This leads to a unifying tuning method for the recently proposed disturbance rejection PID (DR-PID) controller, applicable to a wide range of industrial processes. Unlike the original ZN method, this new tuning method can be fully understood by the practitioner in their own language of bandwidth and phase characteristics. Moreover, it can also be fully validated via rigorous stability analysis. Finally, extensive simulation results are provided to illustrate the effectiveness of the unifying ZN tuning method.

DATA AVAILABILITY STATEMENT

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

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