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16.060  Principles of Automatic Control (F’02)
Final Exam
Part C
C1)
You are given
±
10
100
s
²
1
³
±³
s
G
±
s
s
²
1
³±
1
.
s
²
1
³
a)
Sketch the log
G
vs log
Z
b) Sketch the
´
G vs. log
Z
. What is the value at
Z
=10 r/s ?
C2)
For the open loop system
±
s
k
²
4
³
±³
s
G
2
±
s
²
2
³±
s
µ
4
³±
s
²
8
s
²
32
³
figure (a) is the pole zero diagram and figure (b) is the Nyquist diagram showing
3 regions of interest: A, B & C
Figure (a)
Figure (b)
a)
Fill in table C2
b) Sketch the branches which correspond to region C, the root locus
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View Full Document C3)
Figure C3 is the Bode diagram of a certain G(s).
What is the expression for G(s)?
C4)
Given
K
±
1
²
s
³
2
±³
s
G
±
1
´
s
³
2
a)
Sketch the Nyquist plot and the root locus for k>0 and k<0.
For the Nyquist plot use G(s)/k. Clearly show 0+, +j
f
, j
f
, 0 and the
direction of increasing frequency.
b)
There will be four regions of interest (A,B,C,D left to right) in the Nyquist plot.
Mark them.
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This note was uploaded on 11/06/2011 for the course AERO 100 taught by Professor Willcox during the Fall '03 term at MIT.
 Fall '03
 willcox
 Aeronautics

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