IEVref:351-50-19ID:
Language:enStatus: Standard
Term: proportional plus integral plus derivative element
Synonym1: PID element
[Preferred]
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Definition: linear time-invariant transfer element created by the additive combination of a proportional element, an integral element and a derivative element

Note 1 to entry: The transfer function of an ideal proportional plus integral plus derivative element is given by

$\frac{V\left(s\right)}{U\left(s\right)}={K}_{\text{Ρ}}\cdot \left(1+\frac{1}{{T}_{\text{i}}\cdot s}+{T}_{\text{d}}\cdot s\right)$

where
 KP is the proportional action coefficient; Td is the rate time; Ti is the reset time; s is the complex variable of the Laplace transform; U(s) is the input transform; V(s) is the output transform.

Note 2 to entry: This entry was numbered 351-28-30 in IEC 60050-351:2006.

Publication date:2013-11
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