Problem 1. (20 points) A controlled process is modeled by the following state equations *1 = 3x1 + 7x2, *2 = 4x1 + 5x2 +

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Problem 1 20 Points A Controlled Process Is Modeled By The Following State Equations 1 3x1 7x2 2 4x1 5x2 1 (22.23 KiB) Viewed 30 times

Problem 1. (20 points) A controlled process is modeled by the following state equations *1 = 3x1 + 7x2, *2 = 4x1 + 5x2 + u. The control u is obtained from state feedback, such that u = -k1X1 – k2X2 where kz and k2 are real constants. (a) Check controllability of the system. (b) Determine the region in the kį versus k2 parameter plane in which the closed-loop system is asymptotically stable.