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A plant has the following transfer function :
G(s) = 1 (s2 + 0.2s + 1)
From a step input it is required that the response settles to within 2% of its final value. The plant setting time is _____sec
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- 4 sec
- 40 sec
- 10 sec
- None of the above
Correct Option: B
Characteristics equation s2 + 0.2s + 1 = 0, when expressed in form s2 + 2 δ ω n + ω2n , then setting time is given by,
tss = | = | = 40 ms | ||
rωn | 0.1 |