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Position proportional gain, Loop gain method, Bandwidth method – Rockwell Automation 1784-PM16SE SoftLogix Motion Card Setup and Configuration Manual User Manual

Page 339

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Publication 1784-UM003A-EN-P – June 2003

Motion Object Attributes 331

Position Proportional Gain

The Position Error is multiplied by the Position Proportional Gain, or Pos P
Gain, to produce a component to the Velocity Command that ultimately
attempts to correct for the position error. Increasing this gain value increases
the bandwidth of the position servo loop and results in greater “static
stiffness” of the axis which is a measure of the corrective force that is applied
to an axis for a given position error. Too little Pos P Gain results in excessively
compliant, or mushy, axis behavior. Too large a Pos P Gain, on the other hand,
can result in axis oscillation due to classical servo instability.

A well-tuned system will move and stop quickly or "smartly" and exhibit little
or no "ringing" during constant velocity or when the axis stops. If the response
time is poor, or the motion "sloppy" or slow, the proportional gain may need
to be increased. If excessive ringing or overshoot is observed when the motor
stops, the proportional gain may need to be decreased.

While the Pos P Gain is typically established by the automatic servo tuning
procedure, the Pos P gain may also be set manually. Before doing this it must
be stressed that the Output Scaling factor for the axis must be established for
the drive system. Refer to Output Scaling attribute description for an
explanation of how the Output Scaling factor can be calculated. Once this is
done the Pos P Gain can be computed based on either the desired loop gain or
the desired bandwidth of the position servo system.

Loop Gain Method

If you know the desired loop gain in Inches per Minute per mil or millimeters
per minute per mil, use the following formula to calculate the corresponding P
gain.

Pos P Gain = 16.667 * Desired Loop Gain (IPM/mil)

Thus, according to an old machine tool rule of thumb, a loop gain of 1
IPM/mil (Pos P gain = 16.7 Sec

-1

) provides stable positioning for virtually any

axis. In general, however, modern position servo systems typically run much
tighter than this. The typical value for the Position Proportional Gain is ~100
Sec

-1

.

Bandwidth Method

If you know the desired unity gain bandwidth of the position servo in Hertz,
use the following formula to calculate the corresponding P gain.

Pos P Gain = Bandwidth (Hertz) / 6.28

GSV/SSV Access

Attribute Name

Data Type

Values

SSV/GSV

Position Proportional Gain

REAL

1/Sec

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