Redo Problem 27 using MATLAB in the following way:

a. MATLAB will ask for the desired percent overshoot, settling time, and PI compensator zero.

b. MATLAB will design the PD controller’s zero.

c. MATLAB will display the root locus of the PID-compensated system with the desired percent overshoot line.

d. The user will interactively select the intersection of the root locus and the desired percent overshoot line.

e. MATLAB will display the gain and transient response characteristics of the PID-compensated system.

f. MATLAB will display the step response of the PID-compensated system.

g. MATLAB will display the ramp response of the PID-compensated system.

Data from Problem 27:

For the unity feedback system in Figure P9.1, with

do the following:

a. Design a controller that will yield no more than 25% overshoot and no more than a 2-second settling time for a step input and zero steady state error for step and ramp inputs.

b. Use MATLAB and verify your design.

K G(s) = (s + 4)(s +6)(s + 10)