Design an observer for

G$($s$)=(45)/(($s$+3)($s$+5)($s$+10))$

represented in phase$-$variable form with a desired performance

of $10\%$ overshoot and a settling time of $0\mathrm{.}5$ second. The observer

will be $10$ times as fast as the plant, and the observer's

nondominant pole will be $10$ times as far from the imaginary

axis as the observer's dominant poles. Design the observer by

first converting to observer canonical form.