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)-

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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 + (6f1 +5f2) + (4f1+ 9f2) = 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 -6+ 8j:
fi =
f2 =
Transcribed Image Text: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 + (6f1 +5f2) + (4f1+ 9f2) = 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 -6+ 8j: fi = f2 =
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