Sundaresan-Krishnaswamy Technique for Estimation of Process Parameters

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Consider a first-order plus delay model defined by the transfer function , where
,
, and
are the gain, time constant, and time delay, respectively. In order to find
and
, Sundaresan and Krishnaswamy [1, 2] use the normalized response
of the model to a step-forcing function:
at two different times,
and
. These times are selected such that the normalized response reaches 35.3% at
and 85.3% at
. The recipe gives the estimated values of the time constant and delay time by
and
.
Contributed by: Housam Binous, Mohammad Mozahar Hossain, and Ahmed Bellagi (November 2015)
Open content licensed under CC BY-NC-SA
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References
[1] K. R. Sundaresan and P. R. Krishnaswamy, "Estimation of Time Delay Time Constant Parameters in Time, Frequency, and Laplace Domains," The Canadian Journal of Chemical Engineering, 56(2), 1978 pp. 257–262. doi:10.1002/cjce.5450560215.
[2] D. E. Seborg, T. F. Edgar, D. A. Mellichamp, and F. J. Doyle III, Process Dynamics and Control, 3rd ed., New York: Wiley, 2011.
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