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EECS 460: Homework #8 Solutions
EECS 460: Winter 2008, Homework #8 Solutions
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View Full DocumentEECS 460: Winter 2008, Homework #8 Solutions
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Problem 1:
Step Response with PD Controller only
Time (sec)
Amplitude
Student Version of MATLAB
EECS 460: Winter 2008, Homework #8 Solutions
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View Full DocumentProblem
#
2.
#
(a)
#
#
There
#
are
#
many
#
ways
#
to
#
design
#
the
#
precompensator.
##
I
#
will
#
highlight
#
two
#
possibilities.
##
In
#
both
#
cases,
#
the
#
solution
#
is
#
obtained
#
via
#
experimentation
#
is
#
MATLAB.
#
#
Case
#
1:
#
Cancel
#
zero
#
and
#
add
#
a
#
different
#
zero
#
#
Suppose
#
that
#
we
#
choose
#
a
#
precompensator
#
#
+,
3.241
3.241
c
Ps
s
.
,
#
#
which
#
exactly
#
cancels
#
the
#
zero
#
in
#
the
#
closed
#
loop
#
transfer
#
function.
##
This
#
results
#
in
#
zero
#
overshoot
#
(and
#
also
#
slows
#
down
#
the
#
rise
#
time).
##
Since
#
we
#
are
#
able
#
to
#
tolerate
#
5%
#
overshoot,
#
we
#
can
#
try
#
putting
#
a
#
new
#
zero
#
further
#
into
#
the
#
left
#
half
#
plane.
##
Experimentation
#
in
#
MATLAB
#
results
#
in:
#
#
3.241
4.25
4.25
3.241
c
s
s
.
.
#
#
This
#
precompensator
#
essentially
#
cancels
#
the
#
zero
#
and
#Ͳ
3.241
#
and
#
moves
#
it
#
further
#
into
#
the
#
left
#
half
#
plane.
###
#
0
0.5
1
1.5
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0.8
1
1.2
1.4
Step Response
Time (sec)
Amplitude
+ ,
3.241
4.25
4.25
3.241
c
s
s
.
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This note was uploaded on 04/13/2010 for the course CS 235 taught by Professor Sabnis during the Spring '10 term at Punjab Engineering College.
 Spring '10
 Sabnis

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