1) Consider the system below. The plant is given by: x = Ax + Bu and y = Cx where A = [], = [] B = and C= [1 ข The system uses state feedback control. Choose the desired closed-loop poles to be at s = −1+ j2 and s= -1-j2. Using MATLAB: a) Plot the step responses without state feedback. b) Determine the stability of the system with an eigen value approach. c) Determine the stability of the system with an Routh Hurwitz approach. d) Determine the state feedback gain matrix K with a Pole Placement approach. e) Determine the new system and plot its step response.

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