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Consider the unit ramp response of a negative feedback closed-loop system with...

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Consider the unit ramp

response of a negative feedback

closed-loop system with the forward path transfer function

and feedback path transfer function

. Here, the compensator

gain in the forward path is denoted by

k

Determine the value of the gain (k=k1

),

so as to achieve the steady-state error equal to half of the steady-state error

of the uncompensated closed-loop system with ramp input.

The value of the gain (k1) =

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