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A unity feedback system with the forward transfer function G(s)=s(s+7)K is operating with a closed-loop step response that has a 15% overshoot. Do the following:

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A unity feedback system with the forward transfer function G(s)=s(s+7)K is operating with a closed-loop step response that has a 15% overshoot. Do the following: a. Evaluate a steady-state error for a unit ramp input. (25pts.) b. Design a lag compensator to improve the steady-state error by a factor of 20. (25pts.) c. Evaluate the steady-state error for a unit ramp input to your compensated system. (25pts.) d. Evaluate how much improvement in steady-state error was realized. (25pts.)

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