Consider again the second-order system * = Ax + Bu with 0 2 4=(3²₁), A B = -(3). -1 Now suppose the system has an output
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Consider again the second-order system * = Ax + Bu with 0 2 4=(3²₁), A B = -(3). -1 Now suppose the system has an output
Consider again the second-order system * = Ax + Bu with 0 2 4=(3²₁), A B = -(3). -1 Now suppose the system has an output y = Cx with C = [1 0]. Design an observer dâ A+Bu+L(y - Câ) d.t with L = -(1). so that the error dynamics * = (A - LC)ã have poles placed at −2+ j and −2 − j . Provide your answer for ₁ and 2 as integers. 41 72 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.
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