Question: A second-order, unity feedback system is to follow a ramp input with the following specifications: the steady-state output position shall differ from the input position

A second-order, unity feedback system is to follow a ramp input with the following specifications: the steady-state output position shall differ from the input position by 0.01 of the input velocity; the natural frequency of the closed-loop system shall be 10 rad/s. Find the following:

a. The system type

b. The exact expression for the forward-path transfer function

c. The closed-loop system’s damping ratio

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