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Differential gain, E differential gain – Delta RMC151 User Manual

Page 977

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9 Register Reference

with a deadband, this avoids ratcheting the axis back and forth around the deadband.

See the Output Deadband topic for more details.

Within one-half count of Command Position

When the axis is within one-half count of the Command Position, the Integral Gain is

only allowed to decrease the Integral Output Term. This is similar to the deadband

case. Except in the rare case when the axis is scaled such that the transducer

feedback counts match up exactly with the position units, there will always be a small

difference between the Command Position and the nearest feedback count. Normally,

this would cause the axis to "hunt" for the command position. Constraining the

Integral Output Term to only decrease prevents the axis from "hunting".

Mathematical Definition

PID and I-PD
The Integral Output Term is calculated from the Integral Gain as follows:

I

n

= (e

n

x K

i

x T) + I

n-1

where

I

n

= Integral Term [% of maximum Control Output]

e

n

= Position Error at sample n [cu]

K

i

= Integral Gain [% / (cu x sec)]

T = Time period of control loop [sec]
cu = control unit (position-unit or velocity-unit)

The Integral Gain units are: percent of the maximum Control Output per unit of control

(position, velocity, pressure, force etc) of Position Error times time. The maximum

Control Output is 10V, but can be changed using the Output Scale parameter.

9.2.2.4.8. Differential Gain

Type: Axis Parameter Register

RMC70 Address: Gain Set #1: %MDn.63

Gain Set #2: %MDn.130
where n = 12 + the axis number

RMC150 Address: Gain Set #1: %MDn.63

Gain Set #2: %MDn.130
where n = 24 + the axis number

System Tag: Gain Set #1: _Axis[n].DiffGain

Gain Set #2: _Axis[n].DiffGain_2
where n is the axis number

How to Find: Axes Parameters Pane, Tune tab: Position/Velocity Gains

Data Type: REAL

Units: Position Control: %/(pu/sec)

Velocity control: %/(pu/sec

2)

% = percent of maximum Control Output (default is 10V)

Range: ≥ 0

Default Value: 0

Description

The Differential Gain may greatly enhance performance on many motion systems. On

velocity drives or hydraulic systems, Differential Gain will tend to dampen out oscillations

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