Problem 3 Consider the transfer function: S+1 G(s) = 4 x 106 (52 + 200s + 20000)(s + 10)2* 1. Sketch the bode diagram for G. The approximate equality log(2) = 0.3 may be useful. 2. What are the gain and phase margins for this system? 3. Design a compensator that results in a phase margin of 30 degrees and a gain of 15dB at 0.1 rad/s. 4. What is the gain margin of the resulting system? Problem 3 Consider the transfer function: S+1 G(s) = 4 x 106 (52 + 200s + 20000)(s + 10)2* 1. Sketch the bode diagram for G. The approximate equality log(2) = 0.3 may be useful. 2. What are the gain and phase margins for this system? 3. Design a compensator that results in a phase margin of 30 degrees and a gain of 15dB at 0.1 rad/s. 4. What is the gain margin of the resulting system