Burkert 1067 - Page 43

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1067

POSITIONER TYPE 1067

E-43-

APPENDIX

As shown in the figure of the previous page, the proportional action coefficient Ks of the control

system can be calculated by way of the increase in the inflectional tangent, i. e. by way of ∆X/∆Y:

manipulated variable change)

Ks =

∆X

∆Y

The following table lists the settings for the controller parameters depending on Tu, Tg and Ks for

command and disturbance response and for an aperiodic control operation as well as a control

operation with 20% overshoot. They apply to systems with a P response, with a dead time and with

a delay of the 1st order.

Parameter settings according to Chien, Hrones and Reswick :

Parameter settings

Controller

type Aperiodic control operation Control operation with

(0% overshoot) 20% overshoot

Command Disturbance Command Disturbance

P controller KP = 0,3 Kp = 0,3 Kp = 0,7 Kp = 0,7

PI controller Kp = 0,35 Kp = 0,6 Kp = 0,6 Kp 0,7

Tn = 1,2 Tg Tn = 4 • Tu Tn = Tg Tn = 2,3 • Tu

PID controller Kp = 0,6 Kp = 0,95 Kp = 0,95 Kp = 1,2

Tn = Tg Tn = 2,4 • Tu Tn = 1,35 • Tg Tn = 2 • Tu

Tv = 0,5 • Tu Tv = 0,42 • Tu Tv = 0,47 • Tu Tv = 0,42 • Tu

Tu • Ks

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