Consider the third-order system y = [2 -9 2]x + [0]. Verify that the system is observable

Consider the third-order system

y = [2 -9 2]x + [0]µ.
Verify that the system is observable and controllable. Then, design a full-state feedback law and an observer by placing the closed-loop system poles at.$1,2 = -1 ± j.s3 = -3 and the observer poles at $1,2 = -12 ± j2,s3 = -30.

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004 013 10-3