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ble 3 20 Pts. A transfer function Bode p ots are shown below. Answer the following questions; please eatly draw the appropriate lines as needed, show your work and write your answers in the provided table a. What is the gain margin in dB? b. What is the phase margin in degrees? c. What is the ultimate gain Keu in dB? Also, convert Kc back from dB to a regular gain value. d. What is the ultimate frequency wy (rad/s)? e. What is the ultimate period T? f. How should a Pl controller (not a PID, just a PIl) be tuned according to Ziegler Nichols rule to have a quarter decay ratio response? Write down the transfer function of the Pl controller g. Draw the overall feedback system block diagram showing the Pi controller controlling the plant Bode Diagram 10 G.M. (dB) P.M. ,101-1 Keu (dB) = Kcu (non dB)- Tu -30-1 PI Controller: -50 45 -135 180 225 -270 -315 102 10 100 10 Frequency (rads)
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Answer #1

Solucm aenm lal Pc S.623 O.L7n i non the Agure CnCS) 4I 一 -3.14 lal Pc Stl ひ7-0-1 3-16 time period Э Т a T= 6.25 Sec

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