Consider a system defined bywhereX = Ax + Bu-8C = [10]AIt is desired to have eigenvalues at 3 and - 5 by using a state-feedback control - - Kx.Determine the necessary feedback gain matrix K and the control signal u.B

As per the question we are given the following dynamic control system : x' = Ax + Bu y = Cx And we…

Answered: Consider a system defined by where * =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The eigenvalue should be 2-2i, which with 8 would create a 1/4 ratio. Also, the row [1 0] is the first, not second row as I have it. I'm not sure at which step I've made a mistake. Any help would be appreciated

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Consider a system defined by where * = AX + Bu y - Cx -8 C = [10] 1 5 by using a state-feedback control --Kx. B = It is desired to have eigenvalues at -3 and Determine the necessary feedback gain matrix K and the control signal u