AP11.12 A fourth-order system has the model.

What are the poles of the open-loop system? By using the state variable feedback control u(t) = −Kx(t), determine matrix K to place the closed-loop poles at

−1, −2, −4, and −8.

x(t) = Ax(t)+Bu(t) y(t) = Cx(t), where A = -2.4762 3.3755 -0.0225 -2.5811 -0.9504 -2.1473 -2.1050 -3.5917 2.1847 1.0792 -3.4821 -0.1983 3.5185 2.3825 1.2432 -1.6509 0.2916 0.1978 B = 0 and C=[0001]. 0