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Control system miscellaneous

  1. The steady state error of a unity feedback linear system for a unit step input is 0.1. The steady state error of the same system, for a pulse input r(t) having a magnitude of 10 and a duration of one second, as shown in the figure is

    1. 0
    2. 0.1
    3. 1
    4. 10
Correct Option: A

For step input, ess = 0.1 =
1
1 + k

Now input is pulse r(t) = 10 [u(t) – u(t – 1)]
R(s) = 10
1 - e-s
s



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