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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 1/s²
 ω/(s²+ω²)
 1/s
 s/(s²+ω²)

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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?

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

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Control Systems
Transient state analysis deals with -------------

 nature of response
 magnitude of error
None of these
 both 1 and 2

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Control Systems
The step response of the system described by the differential equation will be

 e6t.
 (1/6)*(1-e-6t).
 non of above.
 e-3t u(t).

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Control Systems
Consider the function F(s) = ω/(s²+ω²). Where F(s) = Laplace transform of f(t). The final value of f(t) is equal to

 finite constant
 a value between -1 and +1
 zero
 infinite

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Control Systems
When the system gain is doubled the gain margin becomes?

None of these
 2 times
 1/2 times
 Remains unaffected

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