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Control system miscellaneous

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Control System

Control system miscellaneous
  1. The unilateral Laplace transform of f(t) is
    1
    		 . The unilateral Laplace
    s2 + s + 1

    transform of t f(t) is
    1. -
      s
      (s2 + s + 1)2
    2. -
      2s + 1
      (s2 + s + 1)2
    3. s
      (s2 + s + 1)2
    4. 2s + 1
      (s2 + s + 1)2
Correct Option: D

L[f(t)] = F(s) =
1
s2 + s + 1

L[f(t)] = (-1)
dF(s)
ds

= (-1)
-(2s + 1)
 =
2s + 1
s2 + s + 1s2 + s + 1


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