English, Digital industrial controller – Burkert Type 1110 Benutzerhandbuch

Seite 92

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90 - 1110

DIGITAL INDUSTRIAL CONTROLLER

english

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:

Controller
type

P controller

PI
controller

PID
controller

Parameter settings

aperiodic control operation

control operation with

(0 % overshoot)

20 % overshoot

Command

Kp = 0,3

Kp = 0,35

Tn = 1,2 Tg

Kp = 0,6

Tn = Tg
Tv = 0,5 · Tu

Disturbance

Kp = 0,3

Kp = 0,6

Tn = 4 · Tu

Kp = 0,95

Tn = 2,4 · Tu
Tv = 0,42 · Tu

Command

Kp = 0,7

Kp = 0,6

Tn = Tg

Kp = 0,95

Tn = 1,35 · Tg
Tv = 0,47 · Tu

Disturbance

Kp = 0,7

Kp = 0,7

Tn = 2,3 · Tu

Kp = 1,2

Tn = 2 · Tu
Tv = 0,42 · Tu

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

Tg

Tu*Ks

As shown in Figure 45, the proportional action coefficient / gain Ks of the control
system can be calculated by way of the increase in the inflectional tangent, i.e. by
way of

∆PV / ∆t (∆CO: Manipulated variable changing):

Ks = ∆

PV * Tg

∆t * ∆CO

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