Appendix; A1: Characteristics Of Pid Controllers - Burkert 1067 Manuel Utilisateur

APPENDIX

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.
Y
Ymax
Ymin
Proportional range
Characteristic
Characteristics :
Theoretically, a pure P controller operates without delay, i. e. it is fast and therefore dynamically
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 :
1
Function : Y =
Ti
Ti ist the integration or manipulating time. This is the time that elapses before the manipulated
variable has passed through the complete manipulating range.
Y0
∆
Xd
Xd
ƒ
Xd dt
POSITIONER 1067
X
Xd
Y
Kp. Xd
Kp.Xd
Xd
Step response
E-39-
t
t