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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