GATE EC 2014 Set 1 — Question 58
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Control Systems → Compensators & Controllers → Effect on Transient & Steady-State
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Question
For the following feedback system . The 2%-settling time of the step response is required to be less than 2 seconds.
Which one of the following compensators achieves this?
Correct answer
(C) 2(s + 4)
Solution
For a 2% settling time criterion, . The requirement s implies:
This means the real part of the dominant closed-loop poles must be less than .The characteristic equation is .
Testing option (C):
Comparing with the standard form :
Since , the settling time is s, which satisfies the requirement s.
This means the real part of the dominant closed-loop poles must be less than .The characteristic equation is .
Testing option (C):
Comparing with the standard form :
Since , the settling time is s, which satisfies the requirement s.
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