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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 s/(s²+ω²)
 1/s
 ω/(s²+ω²)
 1/s²

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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?

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

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Control Systems
When writing a transfer function which of the following loops are not valid loops?

 Neither 1 nor 2.
 Self loops at input node.
 Both 1 and 2.
 Self loops at output node.

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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 the gain k is increased to infinity, then damping ratio will tend to become

 zero
 unity
 infinite
 0.707

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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

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

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Control Systems
What will be the type of the system, if the steady state performance of control system yields a non zero finite value of the velocity error constant?

 type - 0
 type - 2
 type - 3
 type - 1

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