Consider a state-feedback control system of the form x = Ax+Bu u = Fx where F is the 1 x 2 matrix F = [fi f2]- It is given that the characteristic equation of the corresponding closed-loop system is 1²+(-4f1)A + (-6f1 – 3f2) = 0 Find the values of f and f2 (correct to ONE decimal place) such that the poles (eigenvalues) of the closed- loop system are located at -8+3j: fi = f2 =
Consider a state-feedback control system of the form x = Ax+Bu u = Fx where F is the 1 x 2 matrix F = [fi f2]- It is given that the characteristic equation of the corresponding closed-loop system is 1²+(-4f1)A + (-6f1 – 3f2) = 0 Find the values of f and f2 (correct to ONE decimal place) such that the poles (eigenvalues) of the closed- loop system are located at -8+3j: fi = f2 =
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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![Question 6.
Consider a state-feedback control system of the form
x = Ax+ Bu
u = Fx
where F is the 1 x 2 matrix F = [f1 f2).
It is given that the characteristic equation of the corresponding closed-loop system is
12 + (-4fi)A+ (-6f1 - 3f2) = 0
Find the values of fi and f2 (correct to ONE decimal place) such that the poles (eigenvalues) of the closed-
loop system are located at -8 +3j:
fi =
f2 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d9b2fdc-aca5-49e4-9c03-ab242757ddbb%2Fd2f1fbe3-3d11-42dc-9147-bfa7670b7d42%2F2q0q0z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 6.
Consider a state-feedback control system of the form
x = Ax+ Bu
u = Fx
where F is the 1 x 2 matrix F = [f1 f2).
It is given that the characteristic equation of the corresponding closed-loop system is
12 + (-4fi)A+ (-6f1 - 3f2) = 0
Find the values of fi and f2 (correct to ONE decimal place) such that the poles (eigenvalues) of the closed-
loop system are located at -8 +3j:
fi =
f2 =
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