Consider the dynamic system given by

Design a combined state feedback with a state observer for the system. Place the eigenvalues of the closed-loop state feedback system at l1 = 0:3 and l2 =0:2.
Place the observer poles at l1 = 0:1 and l2 =0:1.

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x(x + 1) = [-0.7 17] x(k) + [1] u(k) y(k) = [10]x(k)