Consider the cable reel control system given in Figure AP2.8. Find the value of A and K such that the percent overshoot is P.O. ‰¤ 10% and a desired velocity of 50 m/s in the steady state is achieved. Compute the closed-loop response y(t) analytically and confirm that the steady-state response and P.O. meet the specifications.
Figure AP2.8
Cable reel control system.

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Reel dynamics Actual cable Motor Amplifier locity Desired Torque A velociy Tuchometer Mexsured velncity 0.25s +1