The unity feedback system shown in Figure P8.3, where is to be designed for minimum damping ratio.

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The unity feedback system shown in Figure P8.3, where

is to be designed for minimum damping ratio. Find the following:

a. The value of K that will yield minimum damping ratio

b. The estimated percent overshoot for that case

c. The estimated settling time and peak time for that case

d. The justification of a second-order approximation (discuss)

e. The expected steady-state error for a unit ramp input for the case of minimum damping ratio

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