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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 />

Freescale, the Freescale logo, AltiVec, C-5, CodeTEST, CodeWarrior, ColdFire, C-Ware, mobileGT, PowerQUICC, StarCore, and Symphony are trademarks of Freescale Semiconductor, Inc.,<br />

Reg. U.S. Pat. & Tm. Off. BeeKit, BeeStack, CoreNet, the Energy Efficient Solutions logo, Flexis, MXC, Platform in a Package, Processor Expert, QorIQ, QUICC Engine, SMARTMOS, TurboLink<br />

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. 22<br />

)<br />

)<br />

+<br />

( 1<br />

+<br />

+<br />

−<br />

z<br />

−1<br />

M (z)<br />

m(n)<br />

)<br />

−<br />

TM

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