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MEEN 364
Homework Set 9
Fall 2004
October 28, 2004
1
Homework Set 9
–
Due November 4, 2004 @ 5:00 PM
1. Sketch the asymptotes of the Bode plot magnitude and phase for each of the following open
loop transfer functions. For the magnitude plot please make the slops in term of dB per decade.
Mark appropriately the axes and also mark the break points on the axes. Submit hand drawn
Bode plots (gain and phase plots) on the attached semilog paper. After completing the hand
sketches verify your result using MATLAB. Turn in your hand sketches and MATLAB results
on the same scales.
a)
1
()
(
1)(
1
0.02)
Gs
s
ss
=
+
b)
2
(
1)
(
2)
( 8
64)
s
Hs
s
s ss

=
+
++
c)
22
200
(
(
25)
(
4)
s
s
+
=

2. Sketch the asymptotic Bode plot for the following transfer function:
2
32
250
(
2)
(
5)
(
2
0
100)
s
s
sss

=
 ++
(Note: Sketch the Bode magnitude plot for each of the individual terms in the transfer function,
labeling the break point frequency and the slope of the asymptote. Combine the individual plots
to obtain the final Bode magnitude plot, indicating the breakpoint frequency
and the slope
between the break point frequencies. For the Bode phase plot, prepare a table of asymptotic
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