Pade Approximation of dead time

1. What is Pade approximation method?
2. What is Pade approximation of time delay?
3. How do you derive Pade approximation?
4. What is first order plus dead time?

What is Pade approximation method?

In mathematics, a Padé approximant is the "best" approximation of a function near a specific point by a rational function of given order. Under this technique, the approximant's power series agrees with the power series of the function it is approximating.

What is Pade approximation of time delay?

pade approximates time delays for continuous-time LTI models. Such approximations are useful to model time delay effects such as transport and computation delays within the context of continuous-time systems. The Laplace transform of a time delay of T seconds is exp(–sT).

How do you derive Pade approximation?

Approximants derived by expanding a function as a ratio of two power series and determining both the numerator and denominator coefficients. Padé approximations are usually superior to Taylor series when functions contain poles, because the use of rational functions allows them to be well-represented.

What is first order plus dead time?

A first-order plus deadtime (FOPDT) model is a simple approximation of the dynamic response (the transient or time-response) of a process variable to an influence. It's also called first-order lag plus deadtime (FOLPDT), or “deadtime” may be replaced with “delay,” changing the acronym to FOLPD.