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Control Systems

Control Systems
Consider a network function H(s) = 2(s+3)/{(s+2)(s+4)}. What is the steady state response due to step input?

 3/4
 4/3
 1
 1/2

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Control Systems
The transfer function of the system described by d²/dt²(y(t)) + 3d/dt(y(t)) + 2y(t) = 5u(t) with u(t) as input and y(t) as output is

 5/s(s²+3s+2)
 (s²+3s+2)/5
 5/(s²+3s+2)
 s(s²+3s+2)/5

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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

 unity
 zero
 infinite
 0.707

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Control Systems
Angle condition for complimentary root locus or inverse root locus is

 ± (2q) 360°
 ± (2q) 180°
 ± (2q + 1) 360°
 ± (2q + 1) 180°

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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)2
 1/s(s+1)2
 (s+1)2/s
 s/(s+1)

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Control Systems
The impulse response of an initally relaxed linear system is e-2tu(t). To produce a response of te-2tu(t), the input must be equal to

 e-2tu(t).
 e-tu(t).
 2e-tu(t).
 (0.5)e-2tu(t).

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