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Control Systems

Control Systems
The characteristic equation for closed loop system is given as . The value of k for which the system becomes just stable is

 4
 6
 8
 2

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Control Systems
The characteristic equation of a feedback control is 2s4 + s3 + 3s2 + 5s + 10 = 0. The no of roots in the right half of the s-plane is

 2.
 4.
 3.
 0.

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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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Control Systems
Given a unity feedback system with G(s) = k/s(s+4), the value of k for damping ratio of 0.5 is

 64
 16
 1
 4

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Control Systems
Find the relation of damped natural frequency (ωd)

 (ωn) √(1-2ζ²)
 (ωn) √(1-ζ²)
 (ωn) √(1-4ζ²)
 (ωn) √(1-1/ζ²)

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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?

 60°
 180°
 360°
 120°

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