Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5% (d) Design a PID compensator that achieves zero steady state error for a ramp input and does not change the transient response designed in (c) significantly. (e) Verify the performance of your controllers using MATLAB