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Homework #9 Solutions 24-451 Feedback Control Systems

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Homework #9 Solutions 24-451 Feedback Control Systems
24-451
Feedback Control Systems
Homework #9 Solutions
Fall 2000
An Additional Example: Sketching the Root Locus and Computing the Angle of
Departure
MATLAB root locus plots:
Problem. 4.
» rlocus([1 0 1],[1 3 2])
»
1.5
1
Imag Axis
0.5
0
-0.5
-1
-1.5
-3
-2.5
-2
-1.5
-1
Real Axis
-0.5
0
0.5
1
-1.5
-1
-0.5
0
Real Axis
0.5
1
1.5
2
Problem 5.
» rlocus([1 0 1],[1 0 -1])
»
1
0.8
0.6
0.4
Imag Axis
0.2
0
-0.2
-0.4
-0.6
-0.8
-1
-2
Problem 6.
» num=[1 1];
» den=conv([1 0],conv([1 2],conv([1 3],[1 4])))
den =
1
9
26
24
0
» rlocus(num,den)
4
3
2
Imag Axis
1
0
-1
-2
-3
-4
-6
»
-5
-4
-3
-2
Real Axis
-1
0
1
2
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