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Control Systems

Control Systems
Force balancing equation of a dash-pot element is (where, x = displacement)

 B d2x/dt2
 B *x
 B dx/dt
None of these

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Control Systems
Angle of asymptotes for complimentary root locus is

 (2q+1)*180/(P-Z)
 (2q)*180/(P-Z)
 (2q+1)*180/P
 (2q)*180/P

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Control Systems
For a lead compensator, the poles lie:

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

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Control Systems
The input-output relationship of a linear time invariant continuous time system is given by r(t) = d²c(t)/dt² + 3 dc(t)/dt + 2 c(t) Where r(t) and c(t) are input and output respectively. What is the transfer function of the system equal to?

 2/(s² + 3s + 2)
 1/(s² + s + 2)
 2/(s² + s + 2)
 1/(s² + 3s + 2)

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Control Systems
A second order control system is defined by the following equation: 4 d²c(t)/dt² + 8 dc(t)/dt + 16 c(t) = 16 u(t) The damping ratio and natural frequency for this system are respectively

 0.50 and 2 rad/s
 0.25 and 4 rad/s
 0.25 and 2 rad/s
 0.50 and 4 rad/s

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Control Systems
A controller transfer function is given by . What is its nature and parameter?

 lag compensator, β = 2
 lag compensator, β = 10
 lead compensator, α = 0.2
 lead compensator, α = 0.1

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