Question: Given a control system shown in the figure, where G G=20, G= 1. Calculate the closed-loop transfer function by hand. Determine the poles of

Given a control system shown in the figure, where G G=20, G= 1. Calculate the closed-loop transfer function by hand. Determine the poles of the closed-loop transfer function. Determine the stability of the system. Calculate the steady-state error. Plot the step response and find the response characteristics. 2. (Extra credit 10 points) Plot root locus of this system. Design a proportional controller and find Gc value which can make system has %OS of 10%. What is the steady-state error of your designed system? What can you do to improve this design? R(S) + GC Gp 1 s+7s+12 Y(s) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
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