(Solved): 3. An uncompensated system shown in Figure 3(a) has forward transfer function G(s) with a unity fe ...

3. An uncompensated system shown in Figure 3(a) has forward transfer function G(s) with a unity feedback. a G(s) = s(s+ b) R(S) + E(s) C(s) G(s) Figure 3(a): Uncompensated System R(S) + E(s) C(s) Lead G(s) Figure 3(b): Phase Lead Compensator a. Design a phase lead compensator shown in Figure 3(b) cascaded with the uncompensated system shown in Figure 3(a) that will have a 50% or better improvement of the settling time, at least 3 times improvement in percent overshoot. Assume a compensator zero at (given value zc = - 10).Show all the complete solution. b. Provide the simulation m-script and generate time and frequency responses. Compare the system performance of the uncompensated system and compensated system and make critical analysis on the effect of phase-lead compensator. c. Summarize the various performance parameters in tabular form and comment on the design results. Mention about the speed of response and stability.