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Problem 2 (15 points) Given the transfer function: Y(s) H(s) = = U(s) s2s+1 s3 +2s2+3s+1 1. Is the system stable? 2. Write the

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Problem 2 (15 points) Given the transfer function: Y(s) H(s) = = U(s) s2s+1 s3 +2s2+3s+1 1. Is the system stable? 2. Write the system in control canonical form. 3. Design a control law of the form u = -Kr to place the poles at -33j, -4. 4. Write the system in observer canonical form. 5. Design an observer to place the all the observer poles at -10.

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