RoboteQ AX2850 user manual Control Loop Description, PID algorithm used in Speed mode

Models: AX2850

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Control Loop Description

ence measured between the desired speed (set by the user) and the actual position (cap- tured by the tachometer).

Figure 64 shows a representation of the PID algorithm. Every 16 milliseconds, the control- ler measures the actual motor speed and subtracts it from the desired position to compute the speed error.

The resulting error value is then multiplied by a user selectable Proportional Gain. The resulting value becomes one of the components used to command the motor. The effect of this part of the algorithm is to apply power to the motor that is proportional with the dif- ference between the current and desired speed: when far apart, high power is applied, with the power being gradually reduced as the motor moves to the desired speed.

A higher Proportional Gain will cause the algorithm to apply a higher level of power for a given measured error thus making the motor react more quickly to changes in commands and/or motor load.

The Differential component of the algorithm computes the changes to the error from one 16 ms time period to the next. This change will be a relatively large number every time an abrupt change occurs on the desired speed value or the measured speed value. The value of that change is then multiplied by a user selectable Differential Gain and added to the out- put. The effect of this part of the algorithm is to give a boost of extra power when starting the motor due to changes to the desired speed value. The differential component will also greatly help dampen any overshoot and oscillation.

The Integral component of the algorithm perform a sum of the error over time. This compo- nent helps the controller reach and maintain the exact desired speed when the error is reaching zero (i.e. measured speed is near to, or at the desired value).

 

Proportional

 

Gain

Desired Speed

E= Error

 

-

dt

 

dE

x

xΣ Output

Tachometer A/D

or

Optical Encoder

Measured Speed

Integral Gain

dE

dt

x

Differential

Gain

FIGURE 64. PID algorithm used in Speed mode

AX2550 Motor Controller User’s Manual

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Page 101
Image 101
RoboteQ AX2850 user manual Control Loop Description, PID algorithm used in Speed mode