GATE EC 2014 Set 3 — Question 56
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Control Systems → Time-Domain Analysis → Steady-State Error & Constants
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Question
The steady state error of the system shown in the figure for a unit step input is _______.
Correct answer
0.49 to 0.51
Solution
For the given block diagram, the forward path transfer function is and the feedback path transfer function is .
The error signal is given by:
Since , we have:
For a unit step input, . The steady state error is:
Calculating and :
Thus, .
The error signal is given by:
Since , we have:
For a unit step input, . The steady state error is:
Calculating and :
Thus, .
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