Write the closed-loop transfer function for the system and determine the closed-loop pole locations. Is the closed-loop system stable? (4 pts) b) Determine the damping ratio ζζ and the natural frequency nn of the closed loop system. (2 pts) c) Use inverse Laplace and partial fraction expansion to find the solution yy(tt) to a unit step input in RR? (5 pts) d) Sketch as accurately as possible the time response of the above system to a unit step input in R. Show all relevant time-domain specification calculations used in sketching your response. (

Check the explanation

Explanation:

To write the closed-loop transfer function for the system and determine the closed-loop pole locations as well as to determine the damping ratio and the natural frequency, we will be be doing a step by step calculation and explanation including the graphical presentation as seen in the attached images below.

import math

x=int(input("enter a number: "))

print (math.sqrt(math.fabs(

answer:

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