Consider the second-order system * = Ax+ Bu with 3 A = ( ; _²2₁), B = -(³). Design a state feedback controller u = −Kx =

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Consider The Second Order System Ax Bu With 3 A 2 B Design A State Feedback Controller U Kx 1 (50.42 KiB) Viewed 55 times

Consider the second-order system * = Ax+ Bu with 3 A = ( ; _²2₁), B = -(³). Design a state feedback controller u = −Kx = −[k₁_k₂]æ so that the closed-loop system has poles placed at -2 + j and -2 - j. Provide your answer for k₁ and k₂ as integers. k₁ k₂ In your hand written working, include the following explanations and steps: (1) Can the closed-loop poles 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.