Question: consider the following state - space system, with a being a non - zero constant. Assume the system is controllable and observable. Design a state

consider the following state-space system, with a being a non-zero constant. Assume the system is controllable and observable. Design a state feedback controller u=-kx such that the poles of the closed loop are placed at -2+-2j. Design a full-order observer that places the observer poles at -10. Write the observer equation.

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