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For the derivative feedback control shown in figure below, the damping ratio is equal to 0.7

The value of derivative gain constant is
  • a)
    0.125
  • b)
    0.382
  • c)
    0.274
  • d)
    0.22
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
For the derivative feedback control shown in figure below, the damping...
For the given system, characteristic equation is

or,
s2 + 1.4s + 14s Td + 14 = 0 
or, 
s2 + (1.4 + 14Td) s + 14 = 0
Comparing with s2 + 2 ξωn + ωn2 =0, we have:
ωn = √14 rad/s and 2ξωn = (1.4 + 14Td)
or, 2 x 0.7 x √14 = 1.4 + 14 Td (∴ ξ = 0.7, given)
or,

or,

= 0.274
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For the derivative feedback control shown in figure below, the damping ratio is equal to 0.7The value of derivative gain constant isa)0.125b)0.382c)0.274d)0.22Correct answer is option 'C'. Can you explain this answer?
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