Control Basics - MAELabs UCSD
Control Basics - MAELabs UCSD
Control Basics - MAELabs UCSD
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xc +<br />
-<br />
e<br />
Or equivalently:<br />
xc +<br />
-<br />
K<br />
System transfer function<br />
F = K mI = K m<br />
!x = 1<br />
ms<br />
V 1/R I +<br />
Km<br />
+ - 1+s(L /R)<br />
-<br />
e<br />
K<br />
V 1/R<br />
1+s(L /R)<br />
I<br />
1<br />
( R + Ls)<br />
V ! Ke !x ( )<br />
( F ! c!x ! kx)<br />
= 1<br />
ms K "<br />
$ m<br />
#<br />
MAE 156A<br />
1<br />
( R + Ls)<br />
V ! Ke !x<br />
( = 1<br />
ms K 1<br />
R<br />
m<br />
1+ L<br />
R s<br />
V ! c +<br />
" %<br />
$ '<br />
# &<br />
K "<br />
$<br />
"<br />
$<br />
mKe $<br />
$<br />
# R + Ls<br />
$<br />
#<br />
Ke<br />
Km<br />
+<br />
k<br />
+<br />
( )<br />
!F<br />
c<br />
1<br />
.<br />
x 1<br />
ms s<br />
F 1<br />
ms!+(c + KmKe )s+k<br />
(R+sL)<br />
( ) ! c!x ! kx<br />
%<br />
% '<br />
'<br />
!x ! kx'<br />
& '<br />
&<br />
x<br />
%<br />
'<br />
&<br />
x
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