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Control Systems

Control Systems
Given the Laplace transform of f(t) = F(s), the Laplace transform of (f(t)e-at) is equal to

 eas*F(s)
 F(s+a)
 e-as*F(s)
 F(s)/(s+a)

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Control Systems
The graph of an electrical network has N nodes and B branches. The number of links, L with respect to the choice of a tree, is given by

  B - N + 1.
 N - B + 1.
 B + N.
 N - 2B - 1.

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Control Systems
The impulse response of the system described by the differential equation will be

 1/3.
 e-3t u(t).
 (1/3) × (1-e-3t).
 e6t.

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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.
 √( a / b).
  √( ab ).
  ab.

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

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Control Systems
What is the order of a closed loop control system for a plant with a transfer function equal to G(s) = k/s²(1+Ts) and with unity feedback

 2
 0
 3
 1

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