Consider a unity feedback system with an open-loop transfer function: 30 G(s= s(4s+1)
a) Use MATLAB to design a lead compensator for G(s) such that the closed-loop system satisfies these specifications:
i) K,=15 sec-1 ii) The damping ratio of the dominant closed-loop poles is at least 0.45
b Verify your result. (Simply show that your design meets the desired specifications)