Exercise: Automatic Control Systems

Questions for: Automatic Control Systems

Assertion (A): A slight change in pole-zero configuration can cause only minor changes in root locus configuration.

Reason (R): Asymptotes show the behaviour of root loci for |s| >> 1

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: D

Even a slight change in pole-zero position may affect root locus appreciably.

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A thermometer requires 1 minute to indicate 98% of its final response to a step input. If it is a first order system the time constant is
A:
1 minute
B:
0.5 minute
C:
0.25 minute
D:
0.1 minute
Answer: C

0.98 = 1 - e-1/T or T = 0.25 minute.

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In a second order system with a unit step input, the speed of response is high if system is
A:
overdamped
B:
undamped system
C:
critically damped
D:
underdamped
Answer: D

An underdamped system with damping factor slightly less than 1 gives high speed of response.

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For the feedback system with closed loop transfer function the settling time for 2% tolerance
A:
B:
C:
D:
4ΞΎΟ‰n
Answer: C

and settling time for 2% tolerance is 4T.

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The transfer function can be for
A:
lead compensator
B:
lag compensator
C:
both (a) and (b)
D:
either (a) or (b)
Answer: B

For a lag compensator Ξ² > 1

Therefore is less than .

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