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Control Systems

Control Systems
Find the Laplace transform for sinωt?

 1/s²
 s/(s²+ω²)
 1/s
 ω/(s²+ω²)

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Control Systems
The system function N(s) = V(s)/I(s) = (s+3)/(4s+5). The system is initially at rest. If the excitation i(t) is a unit step, which of the following is the initial value?

 1/4
 3/9
 3/5
 0

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Control Systems
Let P = Number of open loop poles and Z = Number of open loop zeros and P > Z, find the number of branches terminating at ∞?

 P - Z
 Z
 P
 Any of the above

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Control Systems
The open loop transfer function of a unity feedback system is given by G(s) = 1/(s+2)². The closed loop transfer function will have poles at

 -2,-2
 -2,-1
 -2,2
 -2+j,-2-j

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

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Control Systems
In signal flow graph input node is node having only------------

None of these
 both 1 and 2.
 outgoing branches.
 incoming branches.

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