Write a MATLAB program that will design a lag-lead compensator assuming second-order approximations as follows:

a. Allow the user to input from the keyboard the desired percent overshoot, settling time, and gain required to meet a steady-state error specification

b. Display the gain-compensated Bode plot

c. Calculate the required phase margin and bandwidth

d. Display the poles, zeros, and the gain of the lag-lead compensator

e. Display the lag-lead-compensated Bode plot

f. Display the step response of the lag lead compensated system to test your second-order approximation Use your program to do Problem 19.