$8\mathrm{.}22$ Determine the state$-$command input structure for a feedback system with the Type O plant $10$ G$(5)=$ s$!+0\mathrm{.}185+9($a$)$ Convert the system to discrete state$-$space form with T $=0\mathrm{.}1$ sec$.($b$)$ Find K to obtain equivalent s$-$plane control poles at $5=0\mathrm{.}5$ and w$,=4$ rad$/$sec$.($c$)$ Find L$,$ to obtain equivalent s$-$plane estimator poles at $5=0\mathrm{.}5$ and w$.=8$ rad$/$sec$.($d$)$ Determine N$.$ and N$,$ then sketch a block diagram specifying the controller equations including the reference input. $($e$)$ Do you expect there will be a steady$-$state error for this system for a step input? $($f$)$ Plot the step response and confirm your$$answer$$to$($e$)$