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Control Systems

Control Systems
Number of roots in left hand half of s plane if characteristic equation is s3 - 4s2 + s + 6 = 0 ?

 2.
 3.
 0.
 1.

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Control Systems
The impulse response of a linear system is e-t, (t > 0). The corresponding transfer function is

 1/s
 1/(s+1)
 1/s(s+1)
 s/(s+1)

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

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Control Systems
The impulse response of the system described by the differential equation will be

 (1/3) × (1-e-3t).
 e-3t u(t).
 e6t.
 1/3.

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Control Systems
A property of phase lead compensation is that the

 gain margin is reduced.
 bandwidth of closed loop system is reduced.
 rise time of closed loop system is reduced.
 overshoot is increased.

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Control Systems
Time response for a second order system depends on value of ξ. If ξ = 1 then the system is called as

 critically damped system.
 under damped system.
 over damped system.
 undamped system.

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