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Control Systems

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

 0.707.
 0.9.
 1.414.
 1.18.

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Control Systems
The characteristic equation of a control system is give by s(s + 4)(s² + 2s + 1) + k(s + 1) = 0. Find the angle between the asymptotes?

 360°
 120°
 180°
 60°

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

 1.5
 1
 0.5
 0.707

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Control Systems
The type of a control system is obtained from -------------- transfer function?

 both open loop and closed loop
 open loop
 none of above.
 closed loop

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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+1)2/s
 s/(s+1)2
 1/s(s+1)2
 s/(s+1)

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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

 5
 4
 6.5
 10

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