Barbiealice6649 Barbiealice6649
  • 14-07-2019
  • Engineering
contestada

What is the output of a system with the transfer function s/(s + 3)^2 and subject to a unit step input at time t = 0?

Respuesta :

aristeus aristeus
  • 22-07-2019

Answer:

0

Explanation:

output =transfer function H(s) ×input U(s)

here H(s)=[tex]\frac{s}{(s+3)^2}[/tex]

U(s)=[tex]\frac{1}{s}[/tex] for unit step function

output =H(s)×U(s)

=[tex]\frac{s}{(s+3)^2}[/tex]×[tex]\frac{1}{s}[/tex]

=[tex]\frac{1}{(s+3)^2}[/tex]

taking inverse laplace of output

output=t×[tex]e^{-3t}[/tex]

at t=0 putting the value of t=0 in output

output =0

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