1. Choose an A matrix (with all non-zero elements) with n = 2 states and rank(A) = 2. (a) [+1, 5 min] Find a B matrix su

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1 Choose An A Matrix With All Non Zero Elements With N 2 States And Rank A 2 A 1 5 Min Find A B Matrix Su 1 (107.92 KiB) Viewed 38 times

1. Choose an A matrix (with all non-zero elements) with n = 2 states and rank(A) = 2. (a) [+1, 5 min] Find a B matrix such that the system is controllable. (b) [+1, 5 min] Find a suitable Q and R matrix if you are equally concerned about control cost and how quickly ₁ goes to 0, but you do not care what happens to x2. Explain your reasoning. (c) [+1, 5 min] Find the optimal state-feedback controller u(x) that minimizes (Use Matlab!) 1 = 56°²° ² [x² Qx+u² Rudt 0 (d) [+1, 15 min] Find a C matrix (with all non-zero elements) such that the system is unob- servable. J