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Control Systems

Control Systems
A control system has open loop transfer function G(s) = k/(s(s + 2). Find the break away point?

 1
 -2
 2
 -1

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Control Systems
Which one of the following is the response y(t) of a casual LTI system described by H(s) = (s+1)/(s²+2s+2) for a given input x(t) = e-t u(t)?

 e-t cost*u(t)
 e-t cott*u(t)
 e-t sint*u(t)
 e-t tant*u(t)

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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?

 120°
 360°
 180°
 60°

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Control Systems
The open loop transfer function of non unity negative feedback system is , then the number of root locus branches equal to

 2.
 3.
 0.
 1.

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Control Systems
When the input to a system was with drawn at t = 0, its output was found to decrease exponentially from 1000 units to 500 units in 1.386 sec. The time constant of the system is

 2.000.
 0.693.
 1.386.
 0.500.

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Control Systems
The phase of lead compensator of the system G ( s ) = ( s + a ) / ( s + b ) is at its maximum at:

 √( a / b).
  ab.
  √( ab ).
  a / b.

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