Evaluatethissystemsclosedloopbehaviorusingrootlocusana

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Unformatted text preview: 2 ! ! 
 :E GH+,!(/!,H>!/I/,>6!,I5>J! a. If
the
output
is
taken
as
the
voltage
across
the
capacitor,
find
the
transfer
function
Vout(s)/V(s)
 HE GH+,!(/!,H>!/,>+3I!/,+,>!>**-*!B-*!+!/,>5!(.5K,J!!L//K6>!M(.5K,!N!O!'P*+3!+.3!M/>./-*!N!&;!'P*+3E! assuming
zero
initial
conditions.
 (E QQ!1-.B(*6!,H(/!*>/K2,!(.!#+,2+)!-*!9(6K2(.@!B-*!>R,*+!S*>3(,E! b. Given
the
same
assumptions,
find
the
state
space
representation
of
the
circuit
above.

This
 ! representation
should
include
both
the
state
equation
and
the
output
equation.
 &E A*-T(3>!+.!>R+652>!-B!+!UI5>!C!,*+./B>*!BK.S,(-.!VW/X!?(,H!+,!-.>!.-."7>*-!5-2>!+.3!-.>!.-."7>*-! c. Draw
the
Bode
plot
for
this
system
assuming
R
=
110
Ω,
L
=
10
H,
C
=
0.01
F.
 7>*-E!!Y-*!,H>!)2-S@!3(+:*+6!/H-?.!)>2-?0!?H+,!(/!,H>!/,>+3I!/,+,>!>**-*!B-*!+.!(.5K,!-B...
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