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Suppose you are given the system depicted in Fig. 1. (1)Find the transfer function between r and y. rig. 1 (2)What is the system type?

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Suppose you are given the system depicted in Fig. 1. (1)Find the transfer function between r and y. rig. 1 (2)What is the system type? Also, determine the error coefficients Kp,Kv, and Ka where Kp,Kv, and Ka correspond to step, ramp and parabolic error constants, respectively. (3)If is equal to 5 , determine the unit step response y(t) with the initial condition given as y(0)=y(0)=0. (4)If is equal to 4 , determine the maximum overshoot of the output when r(t) is an unit step input with the initial condition given as y(0)=y(0)=0

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