Question: Problem 2 Consider the following linear system: x = x+2u, x2 = x1 - x2, y = x2. (2) Check whether it is observable.

Problem 2 Consider the following linear system: x = x+2u, x2 = x1 - x2, y = x2. (2) Check whether it is observable. Build an observer with the eigenvalues of matrix A - LC placed at values -2, -3. Compute the observer gain L and write down the linear observer in the form (t) dt = Ar(t) +Bu(t) +L[g(t) Cr(t)] (3)

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