Digital Control
Digital Control
Digital Control
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Design Of <strong>Control</strong> Feedback Loop in <strong>Digital</strong> Domain<br />
-PID regulator loop<br />
Conversion To Z − Transformation<br />
z[<br />
e(<br />
n −1)]<br />
= z<br />
Where :<br />
*<br />
−1<br />
From Equation<br />
E(<br />
z)<br />
E(<br />
z)<br />
(4)<br />
&<br />
n E(<br />
z)<br />
z[<br />
∑ e(<br />
n)]<br />
=<br />
i = 1 1−<br />
z<br />
*<br />
M ( z)<br />
* iv *<br />
GVEA ( z)<br />
= = K pv + K<br />
−1<br />
id<br />
<strong>Digital</strong> PID <strong>Control</strong>ler<br />
E(z)<br />
e(n)<br />
K<br />
+<br />
1−<br />
z<br />
−1<br />
( 5)<br />
K pv = K p ; K Kiv<br />
= K Ki<br />
× ∆ t ; K Kid<br />
= K Kd<br />
÷ ∆ t<br />
K iv<br />
* pv<br />
K<br />
* −1<br />
( 1−<br />
z<br />
* −1<br />
Kid ( 1−<br />
z<br />
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)<br />
)<br />
+<br />
( 1<br />
+<br />
+<br />
−<br />
z<br />
−1<br />
M (z)<br />
m(n)<br />
)<br />
−<br />
TM