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Control Systems

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

 s/(s+1)
 1/s
 1/(s+1)
 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?

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

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Control Systems
Electrical analogous quantity for dash-pot in force-current analogy is

 resistance.
 conductance.
 capacitance.
 inductance.

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Control Systems
A proportional plus integral controller

 increases the stability of the system
 it increases rise time
 both 2 and 3
 has high sensitivity

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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
 0.707
 unity
 infinite

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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)
 F(s+a)
 eas*F(s)
 e-as*F(s)

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