Exercise: Automatic Control Systems

Questions for: Automatic Control Systems

For the unity feed back system of the given figure, the closed loop transfer function is
A:
B:
C:
D:
Answer: A

.

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The polar plot of the given figure is for the term
A:
(jω)2
B:
1 + (jω)2
C:
D:
Answer: C

For the term , magnitude is 0 at ω = ∞ and infinite at ω = 0. Moreover phase angle is -180°.

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Assertion (A): The time response of the system with will not have any overshoot for unit step input.

Reason (R): A critically damped system does not have any overshoot to a unit step input.

A:
Both A and R are correct and R is correct explanation of A
B:
Both A and R are correct but R is not correct explanation of A
C:
A is correct but R is wrong
D:
R is correct but A is wrong
Answer: C

System in A is overdamped.

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Lag compensation increases bandwidth of the system.
A:
True
B:
False
C:
D:
Answer: B

Lag compensation improves steady state behaviour.

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For the compensator in the given figure the maximum phase lead is
A:
sin-1 (1/3)
B:
30°
C:
45°
D:
60°
Answer: B

Hence

Also sin φm = = 0.5 and φm = 30°.

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