Setting rules according to Chien, Hrones and Reswick (setting value jump method)

With this method, the controller parameters are set based on the transition behavior or jump response of the control distance.

A setting value jump is output by the controller. Times Tu and Tg are read from the progression of the actual value or the control value (see figure).

The setting value jump is to be selected in such a way that an actual value within the range of the subsequent working point of the control distance is yielded.

Ks is the proportional coefficient of the control distance. It is calculated as follows.

Ks = delta X / delta Y
delta X: Amount of the setting value jump
delta Y: Amount of the actual value jump

Procedure for determining the jump response of the control distance:

- Switch controller to manual operating mode.

- Output setting value jump and accept control value (recorder etc.)

- With critical control distances (e.g. with a risk of overheating), switch off in a timely manner.

Note that the actual value of the control value can continue to increase after switch-off with thermally-sluggish systems.

The table contains setting values for the control parameters subject to Tu, Tg and Ks for command and disturbance behavior and for aperiodic control and control with 20% overshooting. They apply for distances with P behavior, dead time and first-order deceleration.

Controller type	Settings of the controller parameters
	Aperiodic control		Control with overshooting (approx. 20%)
	Command	Disturbance	Command	Disturbance
PI controller	Kp=0.3Tg/(TuKs)	Kp=0.6Tg/(TuKs)	Kp=0.6Tg/(TuKs)	Kp=0.7Tg/(TuKs)
	Tn=1.2Tg	Tn=4.0Tg	Tn=Tg	Tn=2.3Tg
PIDT1 controller	Kp=0.6Tg/(TuKs)	Kp=0.95Tg/(TuKs)	Kp=0.95Tg/(TuKs)	Kp=1.2Tg/(TuKs)
	Tn=Tg	Tn=2.4Tu	Tn=1.35Tg	Tn=2.0Tu
	Tv=0.5Tu	Tv=0.4Tu	Tv=0.47Tu	Tv=0.42Tu
	T1=(0.1 to 0.5)Tv	T1=(0.1 to 0.5)Tv	T1=(0.1 to 0.5)Tv	T1=(0.1 to 0.5)Tv