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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?

 0.5
 4
 2
 1

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

 1.414.
 1.18.
 0.707.
 0.9.

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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

 et.
 e-tu(t).
 e-t.
 etu(t).

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Control Systems
Transfer function of zero order hold response is

 (1 / s) × e-st.
 (1 / s) × (1 - e-st).
 (s) × (1 - est).
 (1 / s) × (1 - est).

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Control Systems
The following transfer function represents a phase-lead compensator?

 1/s
 (s+4)/(s+6)
 (s+4)/(3s+6)
 (4s+2)/(6s+1)

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Control Systems
A unity feedback control system has forward loop transfer function as e-Ts/s(s+1). Its phase value will be zero at frequency ω1. Which of the following equations should be satisfied by ω1?

 ω1 = tan(Tω1)
 ω1 = cot(Tω1)
 Tω1 = cot(ω1)
 Tω1 = tan(ω1)

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