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Control Systems

Control Systems
Given the Laplace transform of f(t) = F(s), the Laplace transform of (f(t)e-at) is equal to

 F(s)/(s+a)
 e-as*F(s)
 F(s+a)
 eas*F(s)

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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/(s+1)
 1/s(s+1)
 1/s

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

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

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Control Systems
When the input to a system was with drawn at t = 0, its output was found to decrease exponentially from 1000 units to 500 units in 1.386 sec. The time constant of the system is

 2.000.
 0.500.
 0.693.
 1.386.

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Control Systems
Weighting function is in terms of -----------------

 Laplace transform of the step response
 Laplace transform of the parabolic response
 Laplace transform of the ramp response
 Laplace transform of the impulse response

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Control Systems
A second order system has peak over shoot = 50% and period of oscillations 0.2 seconds. Find the resonant frequency?

 32.16 rad/s
 31.41 rad/s
 29.74 ra/s
 30.63 rad/s

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