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8205
E-37-
pH CONTROLLER 8205
t
t
X
Y
Xd
Kp.Xd
A1: Characteristics of PID controllers
A PID controller has a proportional, an integral and a differential component (P, I and D components).
P component :
Function :
Y = Kp • Xd
Kp is the proportional action coefficient. It results from the ratio of the manipulating range
∆
Y to the
proportional range
∆
Xd.
Proportional range
Characteristic
Step response
Characteristics :
Theoretically, a pure P controller operates without delay, i. e. it is fast and therefore dinamically
favorable. It has a lasting system deviation, i. e. it does not balance out the effects of disturbances
completely and is therefore relatively unfavorable from the static point of view.
I component :
Function :
Y =
ƒ
Xd dt
Ti ist the integration or manipulating time. This is the time that elapses before the manipulated
variable has passed through the complete manipulating range.
APPENDIX
range
Y
Xd
Y0
Ymax
Ymin
Xd
Y