English, Characteristics of pi controllers – Burkert Type 8625 User Manual

Page 29

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8625-2 Standard - 27

english

A PI controller has a proportional and an integral fraction (P and I fractions).

P fraction:

Function:

y = K

p

· x

d

K

p

is the proportionality index (amplification factor). It is the ratio of the controller

output range

∆Y to the proportional range ∆x

d

.

Characteristics:

A purely P controller works theoretically undamped, i.e. it is fast and hence
dynamically favourable. It has a residual control difference, i.e. it does not
completely eliminate the effects of disturbances and is thus relatively unfavourable
from a static viewpoint.

Characteristics of PI controllers

Characteristic and step response of the P fraction of a PI controller

Characteristic

Step response

y

max

y

min

y

0

x

d

x

d

k

p

*x

d

Proportional range

∆x

d

Correcting range

y

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