Question

1. Given the following system: +\\ R $K_D(s)$ \rightarrow $G(s)$ \rightarrow Y $\frac{s+z}{s+p}$, $G(s) = \frac{1}{(s + 0.1)(s + 1)}$ a) Design a lead compensator so that the resulting system is stable and has a bandwidth frequency of $\omega_{BW} = 2$ rad/sec and good damping. b) Draw the bode plot (magnitude and phase) for the resulting system. (You will need to visualize your design for refinement).

          1. Given the following system:
+\\
R
$K_D(s)$ \rightarrow $G(s)$ \rightarrow Y
$\frac{s+z}{s+p}$,
$G(s) = \frac{1}{(s + 0.1)(s + 1)}$
a) Design a lead compensator so that the resulting system is stable and has a bandwidth frequency
of $\omega_{BW} = 2$ rad/sec and good damping.
b) Draw the bode plot (magnitude and phase) for the resulting system. (You will need to visualize
your design for refinement).