Question: P11.26 Consider the second-order system 0 1 0 0 *(1)= 0 0 1x(t)+0u(t) -1 -2-6 7 y(t) =[540]x(t) +[0]u(t). Verify that the system is observable.

P11.26 Consider the second-order system

0 1 0 0 *(1)= 0 0 1x(t)+0u(t) -1 -2-6 7 y(t)

0 1 0 0 *(1)= 0 0 1x(t)+0u(t) -1 -2-6 7 y(t) =[540]x(t) +[0]u(t). Verify that the system is observable. If so, determine the observer gain matrix required to place the ob- server poles at $1,2 -2j3 and 83 = -6.

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