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Unformatted text preview: !*W,X!N!,0!,&P&! d. Assuming
that
the
circuit
is
represented
by
the
transfer
function
G
in
the
closed
loop
system
below,
 +.3!,CP%J! what
is
the
steady
state
error
due
to
a
step
input?
 ! 
!! e. ! Design
a
lag
controller
Gc
to
increase
the
static
error
constant
to
10x
of
its
original
value
while
 CE UH>!,*+./B>*!BK.S,(-.!VW/X!B-*!,H>!/(652(B(>3!S*K(/>!S-.,*-2!/I/,>6!B*-6!=-6>?-*@!<!(/!:(T>.!(.!,H>! keeping
the
transient
response
the
same
as
for
the
original
system.

This
lag
controller
will
be
 )2-S@!3(+:*+6!)>2-?E!!U-!/,+*,0!I-K!H+T>!
SH-/>.!+!S-./,+.,!:+(.!M!B-*!I-K*!S-.,*-22>*E!!ZW/X!(/!,H>! cascaded
with
the
original
system
G(s). 
 3>/(*>3!/5>>3!+.3!1W/X!(/!,H>!-K,5K,!/5>>3E! ! Final
Exam
 Page
5
of
7
 K 1 1000 s ! 50 Dr.
S
Bergbreiter
 ENME
462
 Vibrations,
Controls,
and
Optimization
II
 Spri...
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