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Control Basics - MAELabs UCSD

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xc +<br />

-<br />

System transfer function - PID<br />

e 1/R<br />

G = KP + KI s + K !<br />

!<br />

$ 1<br />

#<br />

Ds&<br />

# R<br />

"<br />

% # 1+ s L<br />

" R<br />

H =1<br />

K<br />

V I<br />

1+s(L /R)<br />

( )<br />

Km<br />

MAE 156A<br />

$<br />

&<br />

&<br />

%<br />

K !<br />

#<br />

#<br />

m #<br />

#<br />

"<br />

!<br />

#<br />

"<br />

ms 2 + c + K m K e<br />

open loop transfer function = GH<br />

closed loop transfer function =<br />

F 1<br />

ms!+(c + KmKe )s+k<br />

(R+sL)<br />

$<br />

&<br />

1 &<br />

$ &<br />

( R + Ls<br />

&s + k &<br />

) &<br />

% %<br />

G<br />

1+ GH<br />

( )<br />

x

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