For the following system 0 1 0 * = 0 0 1x+ 0 u, y=[1 1...

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For the following system 0 1 0 * = 0 0 1x+ 0 u, y=[1 1 1 0 0 0 a) Design an observer to estimate the state x such that poles of the observer are -5,-5, and -10. b) Find a state-feedback law that places the poles of the system to -2, -3, and -4. c) Simulate the combined observer feedback system fromt = 0 to t=10 with x(0) = [1, -1, 3]' and Xe(0) = [0 0 0]'. The input r(t) is a fixed-width pulse with amplitude 1, period 10s, and the pulse- width %5 of the period. Plot e = x(t)-xe(t). Plot the output without state-feedback. Plot the output with state-feedback using the actual and estimated states on the same figure. Print the Simulink model. For the following system 0 1 0 * = 0 0 1x+ 0 u, y=[1 1 1 0 0 0 a) Design an observer to estimate the state x such that poles of the observer are -5,-5, and -10. b) Find a state-feedback law that places the poles of the system to -2, -3, and -4. c) Simulate the combined observer feedback system fromt = 0 to t=10 with x(0) = [1, -1, 3]' and Xe(0) = [0 0 0]'. The input r(t) is a fixed-width pulse with amplitude 1, period 10s, and the pulse- width %5 of the period. Plot e = x(t)-xe(t). Plot the output without state-feedback. Plot the output with state-feedback using the actual and estimated states on the same figure. Print the Simulink model.