GATE EC 2015 Set 2: Second-Order System Transfer Function (Q57)

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EC > GATE 2015 SET-2 > Control Systems

The output of a standard second-order system for a unit step input is given as y(t) = 1 − ²⁄_√3e^−tcos(√3t − ^π⁄₆). The transfer function of the system is

A

²⁄_{(s+2)(s+√3)}

B

¹⁄_s²+2s+1

C

³⁄_s²+2s+3

D

⁴⁄_s²+2s+4

Correct : d

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