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Control Systems

Control Systems
The characteristic equation has the following roots for over damped stable system?

 -2,2
 -2±j4
 -2,-4
 -2,-2

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Control Systems
The system function N(s) = V(s)/I(s) = (s+3)/(4s+5). The system is initially at rest. If the excitation i(t) is a unit step, which of the following is the initial value?

 3/9
 1/4
 0
 3/5

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

 0.707
 0.5
 1.5
 1

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Control Systems
A lead compensator used for a closed loop controller has the following transfer function For such a lead compensator

 b < a.
 a < b.
 a > kb.
 a < kb.

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Control Systems
The poles of the second order system are at -3 ± j4. The damping ratio of the system is

 3/5
 4/5
 3/7
 3/4

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Control Systems
The characteristic equation of a feedback control system is given by s³ + 5s² + (k + 6)s + k = 0. In the root loci diagram, the asymptotes of the root loci for large 'k' meet at a point in the s-plane whose coordinates are

 (1,0)
 (-1,0)
 (-2,0)
 (2,0)

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