Problem 1. Consider a unity-feedback control system whose feedforward transfer function
is given by
G(s)=(10)/(s(s+1))
Design a lead compensator so that the dominant closed-loop poles have the damping ratio
\zeta =0.5 and the undamped natural frequency \omega _(n)=3. (Hint: choose the zero of you controller
at -1 to cancel the pole of the system at -1.)