English, Digital industrial controller – Burkert Type 1110 Benutzerhandbuch
Seite 92

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