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CONTROL SYSTEMS

Control Systems
A second order control system is defined by the following equation: 4 d²c(t)/dt² + 8 dc(t)/dt + 16 c(t) = 16 u(t) The damping ratio and natural frequency for this system are respectively

 0.25 and 2 rad/s
 0.50 and 2 rad/s
 0.50 and 4 rad/s
 0.25 and 4 rad/s

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Control Systems
The steady state error due to ramp input for a type two system is equal to

 zero.
 infinite.
 constant.
 non zero number.

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Control Systems
Differentiation of parabolic response is a -------------- response?

 ramp
 step
 parabolic
 impulse

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

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

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Control Systems
The impulse response of a system is c(t) = -te-t + 2 e-t (t>0). Its closed loop transfer function is

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

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