$$Hand Calculation

Consider the system defined by:

G$($s$)=0$s$2+1$s$+1$s$3-2$s$2+3$s$-2$

$($a$)$Find the obsevable canonical form representation

$($b$)$Design a full$-$state feedback controller such that the poles of $$the controlled system

are at$-2+-2$j $$and $-10.$

$($c$)$Design a reduced$-$order estimator such that the estimator be$4$times faster than the

controller above.