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Control system miscellaneous

  1. Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is

    1. u(t)
    2. t u(t)
    3. t2
      u(t)
      2

    4. e-1 u(t)
Correct Option: B


y(s)
=
1
u(s)s

y(s) =
1
× u(s)
s

For unit step 1 / s
u(s) =
1
s

y(s) =
1
s2

y(t) = t u(t)



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