Intuitive robust stability metric for PID control of self-regulating processes. Arbogast, J. E., Beauregard, B. M., & Cooper, D. J. ISA Trans., 47(4):420–428, 2008. ![Intuitive robust stability metric for PID control of self-regulating processes [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex Published methods establish how plant-model mismatch in the process gain and dead time impacts closed-loop stability. However, these methods assume no plant-model mismatch in the process time constant. The work presented here proposes the robust stability factor metric, RSF, to examine the effect of plant-model mismatch in the process gain, dead time, and time constant. The RSF is presented in two forms: an equation form and a visual form displayed on robustness plots derived from the Bode and Nyquist stability criteria. This understanding of robust stability is reinforced through visual examples of how closed-loop performance changes with various levels of plant-model mismatch. One example shows how plant-model mismatch in the time constant can impact closed-loop stability as much as plant-model mismatch in the gain and/or dead time. Theoretical discussion shows that the impact is greater for small dead time to time constant ratios. As the closed-loop time constant used in Internal Model Control (IMC) tuning decreases, the impact becomes significant for a larger range of dead time to time constant ratios. To complete the presentation, the RSF is used to compare the robust stability of IMC-PI tuning to other PI, PID, and PID with Filter tuning correlations.
@Article{SCC.Arbogast.Beauregard.ea2008,
author = {Arbogast, Jeffrey E. and Beauregard, Brett M. and Cooper, Douglas J.},
title = {Intuitive robust stability metric for {PID} control of self-regulating processes},
journal = {ISA Trans.},
year = {2008},
volume = {47},
number = {4},
pages = {420--428},
issn = {0019-0578},
abstract = {Published methods establish how plant-model mismatch in the process gain and dead time impacts closed-loop stability. However, these methods assume no plant-model mismatch in the process time constant. The work presented here proposes the robust stability factor metric, RSF, to examine the effect of plant-model mismatch in the process gain, dead time, and time constant. The RSF is presented in two forms: an equation form and a visual form displayed on robustness plots derived from the Bode and Nyquist stability criteria. This understanding of robust stability is reinforced through visual examples of how closed-loop performance changes with various levels of plant-model mismatch. One example shows how plant-model mismatch in the time constant can impact closed-loop stability as much as plant-model mismatch in the gain and/or dead time. Theoretical discussion shows that the impact is greater for small dead time to time constant ratios. As the closed-loop time constant used in Internal Model Control (IMC) tuning decreases, the impact becomes significant for a larger range of dead time to time constant ratios. To complete the presentation, the RSF is used to compare the robust stability of IMC-PI tuning to other PI, {PID}, and {PID} with Filter tuning correlations.},
doi = {10.1016/j.isatra.2008.06.001},
owner = {Rushikesh},
timestamp = {2010.05.07},
url = {http://www.sciencedirect.com/science/article/B6V3P-4SYKM0F-1/2/8ef9989b504a95f5eb60c0d321ffd1e2},
}
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