Approximate Higher Order Transfer Functions in MATLAB

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FOPDT (First Order Plus Dead Time) approximations from higher order transfer functions are valuable so that PID tuning constants can be derived from ITAE and IMC tuning correlations. This practice exam question reviews a Taylor series approximation and Skogestad's rule for this approximation.
  1. APMonitor.com
  2. Transfer Function
  3. Higher-order Function
  4. MATLAB (Programming Language)
  5. Laplace Transform
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Комментарии
Автор

I have a function as H(s)=(0.3204e^-81s)/(50s+1) - (5.497*e^-84s)/(60s+1) + (1.27*e^-81s)/(50s+1).. I need to reduce this function in FOPDT model

rajaramanvenkataraman
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In partC skog rule, why is the exponent, Exp(-9s)

miaunknown
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Do you know a way to approximate a higher order transfer function to a second order plus time delay with a negative time constant at the denominator?

ruthumerez
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Good Night, is there anyway to get a FOPDT approximation of this Transfer Function:
10

10 s^3 + 20 s^2 + 50 s + 5
The Time Constant form of this equation is:
2

(1+9.605s) (1 + 0.8651(0.4563s) + (0.4563s)^2)
Thank you very much

matheusdiniz
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Greetings excellent videos, I could help with the FOPDT of: 18 / (5 * s ^ 3 + 30s ^ 2 + 25 * s), thank you very much.

RicardoZ
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in part C taylor method

why we make the delay equal to e^-10s?

could you please explain more?

mab