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Consider the system .2 ]+ = 0 0 1 x 1 00 === [ 1 00 0] T. y (a) Design a state-feedback controller

Consider the system .2 ]+ = 0 0 1 x 1 00 === [ 1 00 0] T. y (a) Design a state-feedback controller to place the closed-loop poles at -2j and -3. (b) Design an observer with the observer error poles at -20 15j and -8. (c) Write a state space realization of the overall closed-loop system including observer and controller. (d) What are the eigenvalues of the overall closed-loop system?

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