Question: Consider the third-order system y = [2 -4 0]x + [0]u. Verify that the system is observable. If so, determine the observer gain matrix required

Consider the third-order system

y = [2 -4 0]x + [0]u.
Verify that the system is observable. If so, determine the observer gain matrix required to place the observer poles at s1,2 = - 1 ± j and s3 = -5.

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