Step Response Using Padé Approximants

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This Demonstration shows plots of a unit-step response of a time delay and a first-order plus time delay using either 1/1 or 2/2 Padé approximants (red and blue curves). These approximate output functions can be compared with the exact solution shown here in green. You can vary the time delay and the first-order time constant .

Contributed by: Housam Binous, Mohammad Mozahar Hossain, and Ahmed Bellagi (November 2015)
Open content licensed under CC BY-NC-SA


Snapshots


Details

1/1 Padé approximants:

2/2 Padé approximants:

Reference

[1] D. E. Seborg, T. F. Edgar, D. A. Mellichamp, and F. J. Doyle III, Process Dynamics and Control, 3rd ed., Hoboken, NJ: John Wiley & Sons, Inc., 2011.



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