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Control Systems

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

 16
 4
 1
 64

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Control Systems
Lead compensator is used to improve ------------------

 Steady state response
 Transient response
 Both 1 and 2
None of these

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Control Systems
The unit step response of the system is 1 - e-t(1+t). Which is the system?

 oscillatory
 critically stable
 stable
 unstable

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Control Systems
Certain control system has input u(t) and output c(t). If the input is first passed through a block having transfer function e-s and unit gain is applied to the applied to the system. The modified output will be

 c(t)u(t)
 c(t-1).u(t)
 c(t-1).u(t-1)
 c(t).u(t-1)

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Control Systems
A lead compensator used for a closed loop controller has the following transfer function For such a lead compensator

 a < kb.
 a < b.
 a > kb.
 b < a.

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Control Systems
The transfer function of phase lead compensator is given by , where, T > 0, α < 0. What is the maximum phase shift provided by this compensator?

 sin-1((1 - α)/(1 + α)
 tan-1((1 - α)/(2√α)
 both 1 and 3
 cos-1((1 - α)/(1 + α)

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