Digital Control
Digital Control
Digital Control
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z =<br />
*<br />
Vo<br />
sTs<br />
e<br />
-<br />
PID Parameter Design for Feedback Loop <strong>Control</strong><br />
GVEA (Z)<br />
G ( z)<br />
= G ( z)<br />
G ( z)<br />
K<br />
v−open<br />
v − open<br />
sT<br />
K vs<br />
VEA<br />
VEA<br />
Gvh (Z )<br />
vh<br />
G ( e s ) = G ( e s ) G ( e s ) K<br />
Measurement criteria for a stable closed loop system<br />
- Phase margin should be greater than 0°at open loop cross frequency<br />
∠Gv−open v−open<br />
- Gain margin should be greater than one at the frequency where the phase shift is -180°<br />
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and VortiQa are trademarks of Freescale Semiconductor, Inc. All other product or service names are the property of their respective owners. © 2010 Freescale Semiconductor, Inc. 24<br />
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o o<br />
jϖ<br />
cTs<br />
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+ 0 at where G ( e ) = 1<br />
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1 ( cTs<br />
jϖ<br />
) 1 ∠ ( cT<br />
G e at where G e s ) = −180<br />
v−open<br />
> v−open<br />
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vs<br />
TM
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