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Control Systems

Control Systems
If the magnitude of G(jω)H(jω) at phase crossover frequency is 0.5. Find the gain margin of the given system?

 4
 2
 0.5
 1

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Control Systems
A first order control system is initially at 0 V and subjected to a sudden input at t=0. Its output reaches 1.1 V in 4 sec and eventually reaches steady state of 2 V. Find the time constant?

 5 sec
 4 sec
 2 sec
 6 sec

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Control Systems
A function y (t) satisfies the following differential equation : Where, δ (t) is the delta function. Assuming zero initial condition and denoting the unit step function by u(t), y(t) can be formed as

 e-t.
 etu(t).
 et.
 e-tu(t).

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Control Systems
The value of 'a' in to give phase margin = 45o will be

 1.18.
 1.414.
 0.9.
 0.707.

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Control Systems
The second order system defined by 25/(s2 + 5s + 25) is given a step input. The time taken for the output to settle with in 2 % of input is

 1.6 sec.
 0.4 sec.
 1.2 sec.
 2 sec.

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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

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

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