Consider the figure shown. For each of the six transfer functions (A-F) represented, please answer the following: a. Is the system stable? How do you know? b. What is the characteristic polynomial? What is (are) the time constant(s)? d. What is the damping ratio? e. What is the natural frequency? f. What is the damped frequency? Keep in mind that some of these parameters may not exist, and others may have multiple values. Please report all values, if they exist. If any values do not exist, please state why not. С.

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3.
Consider the figure shown. For each of the six transfer functions (A-F)
represented, please answer the following:
Is the system stable? How do you know?
b. What is the characteristic polynomial?
What is (are) the time constant(s)?
d. What is the damping ratio?
What is the natural frequency?
What is the damped frequency?
а.
с.
е.
f.
Keep in mind that some of these parameters may not exist, and others may have multiple
values. Please report all values, if they exist. If any values do not exist, please state why not.
Root Locations
10
A(s)
8
B(s)
C(s)
D(s)
6
E(s)
F(s)
4
2
AB
-4
-6
-8
-10
-15
-10
-5
Real Axis
x 4O 0o
Imaginary Axis
Transcribed Image Text:3. Consider the figure shown. For each of the six transfer functions (A-F) represented, please answer the following: Is the system stable? How do you know? b. What is the characteristic polynomial? What is (are) the time constant(s)? d. What is the damping ratio? What is the natural frequency? What is the damped frequency? а. с. е. f. Keep in mind that some of these parameters may not exist, and others may have multiple values. Please report all values, if they exist. If any values do not exist, please state why not. Root Locations 10 A(s) 8 B(s) C(s) D(s) 6 E(s) F(s) 4 2 AB -4 -6 -8 -10 -15 -10 -5 Real Axis x 4O 0o Imaginary Axis
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