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Control Systems

Control Systems
The Laplace transform of a transportation lag of 5 seconds is

 e5s.
 e-5s.
 1/(s-5).
 1/(s+5).

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Control Systems
A linear time invariant system, initially at rest when subjected to a unit step input gave response c(t) = te-t (t ≥ 0). The transfer function of the system is

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

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Control Systems
For a unity feedback control system open loop transfer function then velocity error constant is

 50.
 infinity.
 10.
 0.

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Control Systems
Certain control system has input u(t) and output c(t). If the input is first passed through a block having transfer function e-s and unit gain is applied to the applied to the system. The modified output will be

 c(t).u(t-1)
 c(t-1).u(t)
 c(t)u(t)
 c(t-1).u(t-1)

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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

 0.500.
 1.386.
 2.000.
 0.693.

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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 the gain k is increased to infinity, then damping ratio will tend to become

 zero
 0.707
 infinite
 unity

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