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Q#1 Time Response Analysis GATE EC 2023 MCQ +2 marks -0.66 marks

A closed loop system is shown in the figure where  and . The steady state error due to a ramp input  is given by

Explanation:

Given, input is ,Taking its laplace we get

 

From the figure,

 

Now steady state error for Ramp input is

where  is the magnitude of Ramp input

Velocity error constant is given by the formula,

 

 

Putting it in steady state error we get

 

 

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