"I am trying to design a lead controller that is similar to the equation in Figure $7$P$-1\text{'}$s system. Please answer the following questions."

$D(s)=K\frac{Ts+1}{Ts+1},<mn\; id="EditorElement\_2740497">1</mn>$

$(1)"$To design a lead controller that achieves a steady$-$state error of $0\mathrm{.}01$ for a unit step command input and ensures a phase margin of at least $75$ degrees, and then find the crossover frequency of the magnitude Bode plot for this controller."