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Lookup NU author(s): Dr Jie ZhangORCiD
This is the authors' accepted manuscript of an article that has been published in its final definitive form by American Chemical Society, 2017.
For re-use rights please refer to the publisher's terms and conditions.
To design robust proportional−integral−derivative (PID) controllers for second-order plus time delay (SOPTD) processes with parameter uncertainty, a reference model approximation method is proposed in this article. The central idea is to allow the frequency response of the PID controller to approximate that of a user-specified reference model. A convex hull is used to approximate the frequency template of the process with parameter uncertainty, and the maximum approximation error of the reference model among all candidate processes is bounded. To guarantee that the set-point response trajectory of each possible candidate model can well approach that of the reference model, a convex optimization problem is formulated to calculate the PID parameters by minimizing the upper bound for the approximation error. Constraints on the closed-loop maximum sensitivity peak are imposed on the reference-model approximation problem for loop robustness. The proposed method is able to ensure balanced tracking performance and disturbance rejection performance through a proper specification of the reference model; therefore, the alarms triggered according to performance indices can be more informative. Illustrative examples are presented to demonstrate the applicability.
Author(s): Gao X, Zhang J, Yang F, Shang C, Huang D
Publication type: Article
Publication status: Published
Journal: Industrial & Chemical Engineering Research
Year: 2017
Volume: 56
Issue: 41
Pages: 11903-11918
Print publication date: 18/10/2017
Online publication date: 24/09/2017
Acceptance date: 23/09/2017
Date deposited: 25/10/2017
ISSN (print): 0888-5885
ISSN (electronic): 1520-5045
Publisher: American Chemical Society
URL: https://doi.org/10.1021/acs.iecr.7b03155
DOI: 10.1021/acs.iecr.7b03155
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