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Consider again the second-order system * = Ax+ Bu with 0 2 3 A=(²₁)₁ B=(₂). А 3 2 = Co with C= [10]. Design an Now suppose the system has an output y observer dâ = :A+Bu+L(y− C ) dt with L = -(41), so that the error dynamics ❀ = (A – LC)ã have poles placed at −2+ j and -2 - j. Provide your answer for 1₁ and 12 as integers. 4₁ = 12 - In your hand written working, include the following explanations and steps: (1) Can the poles of the error dynamics be placed at any given positions, and why? (2) Explain the purpose for each step of your design, and present the key analytical working for each step.