
Operating Manual CMGZ 622 
 
 
10 
5Controller theory 
5.1 Tension control loops 
When manufacturing and processing foils, wires, ropes, paper and fabric sheets, it is 
important that the product is under constant tension when guided across the rollers. 
Tension may change when humidity, temperature, winding or unwinding diameters 
vary or when the sheets are being printed, coated, glued or pressed. Tension is 
measured constantly and maintained at the correct value with the FMS force 
measuring and control system. 
5.2 PID Controller 
The function of any control loop is to 
maintain the feedback value exactly at the 
level of the reference and to minimize the 
influence of any interference on the control 
loop. In addition, the control loop must be 
stable under all operating conditions. 
These aims can only be achieved if the 
dynamic behaviour of the control loop is 
adapted to the machine. 
The PID controller used in the FMS tension 
control system calculates an output signal 
that corresponds to the addition of „P“, „I“ 
and „D“ component. The „D“ component can 
be skipped alternatively. Due to the digital 
design, the controller has an exactly 
reproducible behaviour, because every parameter is known as an exact number which 
doesn’t drift away. Due to that, it has high long-time and temperature stability. This 
feature also allows to exchange an electronic unit without readjusting. 
 
„P“ component 
A controller with only a proportional component gives an output signal that is 
proportional to the error. If the error is zero, the output signal also will be zero. A 
small error only can create a small output signal which is not high enough to compensate 
the complete error. That means, that a controller with only a proportional component will 
have a steady error. The characteristics of a. P-controller are the proportional factor Xp. 
„I“ component 
A controller with an integral component adds the error to the output signal 
continuously and emits this output signal. Due to that, the output signal will be 
enlarged or reduced until the error is zero. This output signal is maintained until a new 
error occurs. The integral component therefore allows zero error in steady state. The 
characteristic value of an „I“ controller is the settling time Tn. 
„D“ component 
A controller with a differential component has an output signal proportional to the 
changing speed of the error. If the error changes in a step, the output will show the 
characteristic peak impulse. Therefore, a „D“ controller reacts even if only a small 
controller error occurs. The characteristic value of a „D“ controller is the derivative 
action time TV. 
 
fig 3: Step response of a PID 
controller C432003e