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CONTROL SYSTEMS

Control Systems
A linear time invariant system, initially at rest when subjected to a unit step input gave response c(t) = te-t (t ≥ 0). The transfer function of the system is

 1/s(s+1)2
 s/(s+1)2
 s/(s+1)
 (s+1)2/s

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Control Systems
Given the transfer function of a system. Which of the following characteristics does it have?

 any of the above
 Under damped
 Critical damped
 Over damped

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Control Systems
The unit impulse response of second order system is 1/6 * e-0.8t sin(0.6t). THen the natural frequency is

 1 rad/s
 2 rad/s
 0.6 rad/s
 0.8 rad/s

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Control Systems
Which of the following transfer functions represent under damped second order systems?

All of these
 4/(s² + 2s + 4)
 1/(s² + s + 1)
 2/(s² + 2s + 2)

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Control Systems
The open loop transfer function of a unity feedback control system is given by G(s) = k/s(s+1). If gain k is increased to infinity, then damping ratio will tend to become

 zero
 unity
 0.707
 infinite

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