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Control Systems

Control Systems
A second order control system has F(jω) = 100/(100 - ω² + 10√2 jω). Find the resonant peak?

 1.5
 0.707
 0.5
 1

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Control Systems
Given a unity feedback system with G(s) = k/s(s+4), the value of k for damping ratio of 0.5 is

 64
 4
 16
 1

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Control Systems
For a lead compensator, the poles lie:

  on LHS.
  on RHS.
  on origin.
  on LHS before zero.

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Control Systems
The poles of the second order system are at -3 ± j4. The damping ratio of the system is

 3/5
 3/7
 4/5
 3/4

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Control Systems
Consider the following statements for phase lead compensation:

 Phase lead compensation shifts the gain crossover frequency to the right
 both 1 and 2
 The maximum phase lag occurs at the arithmetic mean of the two corner frequencies.
 nether 1 nor 2

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Control Systems
Given the Laplace transform of f(t) = F(s), the Laplace transform of (f(t)e-at) is equal to

 F(s+a)
 e-as*F(s)
 F(s)/(s+a)
 eas*F(s)

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