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Consider a regulator system with a plant given by: 0 1 0 x = Ax+ Bu, A = 0 0 1 B = 0 L-1 -5 -6] The system uses a state feedback control, u = -Kx. Choose the desired closed-loop eigenvalues to be: 12+ 4j, λ₂ = -24j, λ3 = -10. Is it possible to arbitrarily place the closed-loop eigenvalues? Why or why not? If it is possible, compute K.

Consider a regulator system with a plant given by: 0 1 0 x = Ax+ Bu, A = 0 0 1 B = 0 L-1 -5 -6] The system uses a state feedback control, u = -Kx. Choose the desired closed-loop eigenvalues to be: 12+ 4j, λ₂ = -24j, λ3 = -10. Is it possible to arbitrarily place the closed-loop eigenvalues? Why or why not? If it is possible, compute K.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider a regulator system with a plant given by: 0 1 0 x = Ax+ Bu, A = 0 0 1 B = 0 L-1 -5 -6] The system uses a state feedback control, u = -Kx. Choose the desired closed-loop eigenvalues to be: 12+ 4j, λ₂ = -24j, λ3 = -10. Is it possible to arbitrarily place the closed-loop eigenvalues? Why or why not? If it is possible, compute K.
Transcribed Image Text:Consider a regulator system with a plant given by: 0 1 0 x = Ax+ Bu, A = 0 0 1 B = 0 L-1 -5 -6] The system uses a state feedback control, u = -Kx. Choose the desired closed-loop eigenvalues to be: 12+ 4j, λ₂ = -24j, λ3 = -10. Is it possible to arbitrarily place the closed-loop eigenvalues? Why or why not? If it is possible, compute K.
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