In the unit feedback closed loop control system whose block diagram is shown in Figure , the transfer function is given as ????(????) = ((3,3333)*10^4)/(s^2) . Desired behavior criteria of a closed loop system are given below in terms of maximum overshoot and response (settling) time:
Maximum overshoot in step response: ???????? ? 16
Response time for ±2% bandwith around the last value: ???????? ? 0.002
The phase margin ???????? and bandwidth ???????? can be calculated in terms of the fading ratio ???? as follows:
Design a phase lead compensator that will provide the desired closed-loop behavior using the frequency response method. . Show on Bode diagrams how the bandwidth, gain and phase margins are affected by changing values of the compensator parameters.