IEC 60050 - International Electrotechnical Vocabulary

IEVref:

351-45-51

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Status: Standard

Term:

rational transfer element

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Definition:

linear time-invariant transfer element the transfer function of which may be written as a quotient of two polynomials in s

$G (s) = \frac{V (s)}{U (s)} = \frac{b_{0} + b_{1} \cdot s + \dots + b_{m} \cdot s^{m}}{a_{0} + a_{1} \cdot s + \dots + a_{n} \cdot s^{n}}$ with a_j and b_j real, a_n ≠ 0, b_m ≠ 0

where

a_i, b_i are the polynomial coefficients;

s is the complex variable of the Laplace transform;

U(s) is the input transform;

V(s) is the output transform.

Note 1 to entry: In real controlled systems, m < n. With respect to mathematical denomination these elements would have to be called "proper-fractional rational transfer element" which is not usage.

Note 2 to entry: An element with dead time is an example for a non-rational transfer element.

Note 3 to entry: This entry was numbered 351-24-43 in IEC 60050-351:2006.

Publication date:

2013-11

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