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In relation to this article, we declare that there is no conflict of interest.
Publication history
Received November 11, 2013
Accepted August 19, 2014
articles This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
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A unified approach for proportional-integral-derivative controller design for time delay processes

Department of Chemical Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
mshams@kfupm.edu.sa
Korean Journal of Chemical Engineering, April 2015, 32(4), 583-596(14), 10.1007/s11814-014-0237-6
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Abstract

An analytical design method for PI/PID controller tuning is proposed for several types of processes with time delay. A single tuning formula gives enhanced disturbance rejection performance. The design method is based on the IMC approach, which has a single tuning parameter to adjust the performance and robustness of the controller. A simple tuning formula gives consistently better performance as compared to several well-known methods at the same_x000D_ degree of robustness for stable and integrating process. The performance of the unstable process has been compared with other recently published methods which also show significant improvement in the proposed method. Furthermore, the robustness of the controller is investigated by inserting a perturbation uncertainty in all parameters simultaneously, again showing comparable results with other methods. An analysis has been performed for the uncertainty margin in the different process parameters for the robust controller design. It gives the guidelines of the Ms setting for the PI controller design based on the process parameters uncertainty. For the selection of the closed-loop time constant, (τc), a guideline is provided over a broad range of θ/τ ratios on the basis of the peak of maximum uncertainty (Ms). A comparison of the IAE has been conducted for the wide range of θ/τ ratio for the first order time delay process. The proposed method shows minimum IAE in compared to SIMC, while Lee et al. shows poor disturbance rejection in the lag dominant process. In the simulation study, the controllers were tuned to have the same degree of robustness by measuring the Ms, to obtain a reasonable comparison.

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