Consider the plant model and dynamic compensator given respectively by
G(s) = (1/(s(s+2)))
D(s)= 50((s+3)/(s+20))
(i) Find therise time, percentage overshot, and settling time for the closed-loop system.
(ii) Find steady-state error to the unit ramp input. If it is greater than 0.1, design a lag compensator that helps to achieve the steady-state error (to the unit ramp input) no more than 0.1. (Hint: Use Matlab to nd the dominant closed-loop poles.)