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ExamsGATETechnical

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 answer: 0

Solution

For a pulse input, the system can respond fully to the input during the duration of the pulse, allowing it to reach the desired output level without any steady state error. Since the pulse input has a magnitude of 10 and lasts for one second, the system can achieve the output of 10, resulting in a steady state error of 0.

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