The compensated dynamic system in a negative unity feedback configuration is shown in Fig. 2: Figure 2 where system loop transfer function is given as follows: and Gc is a lead-lag compensator. (a) Evaluate the performance of the uncompensated system operating at approximately 10% max. overshoot (b) Design a lead-lag compensator to satisfy the following response specifications: settling time less than 1.6 seconds max. overshoot less than 22% static error constant KP = 15. Hint: since you do not know which T to choose for the lag compensator, you would need to iterate through a few values of possible pole (good choice would be from 0.01 to 0.4) and determine the one which satisfies the given requirements (c) Explain whether 2nd-order approximation for a compensated system is valid (d) Simulate uncompensated and compensated systems (unit step responses) and verify that the specifications are met