Prob. 5 (30 pts): You are to design a compensator for a radar antenna as shown below. Determine G. (s) so that (a)* The closed-loop system has a bandwidth of approximately 20 rad/s. (b) The closed loop system must have positive phase margin. (6) Increase the attenuation at 200 rad/sec or higher. *You can assume that the bandwidth of the closed system is equal to the gain crossover frequency of the open loop system. You may wish to use the semi-log paper enclosed in your design. TARGET Antenna Actuator M 1.0 ec G – M=control moment (1) (5 pts) Sketch the Bode plot of uncompensated system and determine the gain crossover frequency (2) (15 pts) Propose a controller that meets the specifications. (3) (5 pts) Sketch the Bode plot compensated system (plant*controller) (4) (5 pts) Calculate the phase margin of the compensated system and indicated on the bode plot