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Control system miscellaneous

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Control System

Control system miscellaneous
  1. The transfer function of the system described by
    d2y
    		 +
    dy
    		 =
    du
    		 + 2u
    dt2dtdt

    with u as input and y as output is
    1. (s + 2)
      (s2 + s)
    2. (s + 1)
      (s2 + s)
    3. s
      (s2 + s)
    4. 2s
      (s2 + s)
Correct Option: A

d2y
 +
dy
 =
du
 + 2u
dt2dtdt

∴ s2y(s) + sy(s) = su(s) + 2u(s)
⇒
y(s)
 =
s + 2
u(s)s2 + s


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