A unity feedback system has

If this system has an associated 0.5 second delay, use MATLAB to design the value of K for 20% overshoot. Make any necessary second-order approximations, but test your assumptions by simulating your design. The delay can be represented by cascading the MATLAB function padé (T,n) with G(s), where T is the delay in seconds and n is the order of the Pade approximation (use 5). Write the program to do the following:

a. Accept your value of percent overshoot from the keyboard

b. Display the Bode plot for K = 1

c. Calculate the required phase margin and find the phase-margin frequency and the magnitude at the phase-margin frequency

d. Calculate and display the value of K

K G(s) = s(s+ 3)(s+ 6)