Compromise between noise amplification and performance in PID design
DOI:
https://doi.org/10.17979/ja-cea.2025.46.12170Keywords:
PID design, Noise amplification, Absolute Integral of the ErrorAbstract
We discuss ideas to help select the correct trade-off between noise amplification and performance in PID controllers. A fixed structure model, which characterizes overdamped systems well, is used, using the ratio L/τ as the main parameter. The fixed robustness tuning line is used in the analysis. A graph comparing the relative changes in noise amplification and performance (IAE), referenced to the optimal PI, is presented, showing some properties of these changes as a function of the process. A graph showing the changes in noise amplification and performance (IAE), but referenced to the controller with amplification 1, is also presented, clearly displaying the actuator fluctuation as a function of the controller, and the effect on performance improvement. The L/τ value is related to the selection of the trade-off between noise amplification and performance, and three designs are proposed, considering the model, the measurement noise, and the actuator sensitivity.
References
Astrom, K., T.Hagglund, 2006. Advanced PID Control. ISA. NC,USA.
H. Panagopoulos, K.A., T.Hagglund, 2002. Design of PID controllers based on constrained optimization. IEE Proc.-Control Theory Appl. 149, 32–40. doi:doi.org/10.1049/ip-cta:20020102.
Romero, J., Sanchis, R., Balaguer, P., 2011. Pi and pid auto-tuning procedure based on simplified single parameter optimization. Journal of Process Control 21, 840–851. doi:doi.org/10.1016/j.jprocont.2011.04.003.
Sanchis, R., Penarrocha, I., 2021. A new method for experimental tuning of PI controllers based on the step response. ISA Transactions doi:doi.org/10.1016/j.isatra.2021.09.008.
Sanchis, R., Penarrocha, I., 2023. Optimal tuning of pid controllers with derivative filter for stable processes using three points from the step response. ISA Transactions 143, 596–610. doi:DOI:10.1016/j.isatra.2023.10.009.
Sanchis, R., Pe˜narrocha, I., 2024. A pid tuning approach to find the optimal compromise among robustness, performance and control effort: implementation in a free software tool. International Journal of Control 97, 16–35. doi:10.1080/00207179.2021.1989491.
Sanchis, R., Romero, J., Balaguer, P., 2010. Tuning of pid controllers based on simplified single parameter optimisation. International Journal of Control 83, 1785–1798. doi:doi.org/10.1080/00207179.2010.495162
Downloads
Published
Issue
Section
License
Copyright (c) 2025 José María Martín Algarra, Roberto Sanchis Llopis
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
