Automatic Control Systems - Engineering

Q1:

For the control system in the given figure, the value of K for critical damping is

A 1

B 5.125

C 6.831

D 10

ANS:B - 5.125

since ζ = 1, ωn = 3.5 Hence 2 + 2k = 3.52 = 12.25 or K = 5.125 .