Exercise: Automatic Control Systems

Questions for: Automatic Control Systems

In the given figure, R2 >> R1. Then
A:
B:
C:
D:
Answer: A

Since R2 > > R1 the term 1 + R1Cs is small as compared to 1 + R2Cs. Hence the factor can be neglected.

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For a first order system having transfer function, the unit step response is
A:
1 - e-t/T
B:
e-t/T
C:
-e-t/T - 1
D:
1 + e-t/T
Answer: A

Since the input is unit step, the response is .

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The response is
A:
undamped
B:
underdamped
C:
critically damped
D:
oscillatory
Answer: B

and is less than 1.

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A second order system has damping ratio x and natural frequency ωn. The unit step response is
A:
B:
C:
D:
Answer: C

.

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If the polar plot, as the frequency is varied from 0 to infinity is
A:
a semicircle
B:
a circle
C:
a straight line
D:
none of the above
Answer: A

At ω = 0, G(jω) = 1 ∠ 0. At ω = ∞, G(jω) = 0 ∠ -90°.

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