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Control Systems

Control Systems
A second order control system has F(jω) = 100/(100 - ω² + 10√2 jω). Find the resonant peak?

 0.5
 1.5
 1
 0.707

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Control Systems
Time constant is defined as the time taken by the response of the system to reach ----------- ?

 70.7% of the final value
 63% of the final value
 100% of the final value
 50% of the final value

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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?

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

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Control Systems
The transfer function of phase lead compensator is given by , where, T > 0, α < 0. What is the maximum phase shift provided by this compensator?

 tan-1((1 - α)/(2√α)
 cos-1((1 - α)/(1 + α)
 both 1 and 3
 sin-1((1 - α)/(1 + α)

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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

 infinite
 zero
 0.707
 unity

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Control Systems
A unity feedback control system has an open loop transfer function G(s) = k/(s(s² + 7s + 12) The gain k for which s = -1 + j1 will lie on the root locus of the system is

 4
 6.5
 10
 5

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