Positioner 1067, Appendix – Burkert Type 1067 User Manual

Page 91

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POSITIONER 1067

E-39-

Y

Xd

Y0

Ymax

Ymin

Xd

Y

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 ΔY to the
proportional range ΔXd.

t

t

X

Y

Xd

Kp.Xd

Kp. Xd

1
Ti

Characteristic

Step response

Characteristics :
Theoretically, a pure P controller operates without delay, i. e. it is fast and therefore dynamically favorab-
le. 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.

Manipulat-

ing rang

e

Proportional range

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