AP11.14 Consider the third-order system

Verify that the system is observable and controlla

ble. Then, design a full-state feedback law and an observer by placing the closed-loop system poles at

s j 1, 2 = −4 1 ± = , s3 −5 and the observer poles at

s j 1, 2 = −10 ± = 5, s3 −25.

0 1 0 x(t) = 0 0 1x(t)+0 1(t) -10-2-2 6 y(t) =[1 5_3]x(t) +[0]u(t).