B-12-6. A regulator system has a plant Y(s) 10 U(s) (s + 1)(s + 2) (s + 3) Define state variables as X, = y X2 = ij X3 = i2 %3D By use of the state-feedback control u - - Kx, it is desired to place the closed-loop poles at s = µ; (i = 1,2, 3), where -2 + j2V3. Hz = -2 - j2V3, M3 = -10 Determine the necessary state-feedback gain matrix K.

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B-12-6. A regulator system has a plant
Y(s)
U(s)
10
(s + 1)(s + 2)(s + 3)
Define state variables as
y
X2 = ij
X3 = 2
By use of the state-feedback control u =
to place the closed-loop poles at s
Kx, it is desired
|
li (i = 1, 2, 3), where
-2 + j2V3.
-2 – j2V3,
l3 = -10
%3D
Hz =
Determine the necessary state-feedback gain matrix K.
Transcribed Image Text:B-12-6. A regulator system has a plant Y(s) U(s) 10 (s + 1)(s + 2)(s + 3) Define state variables as y X2 = ij X3 = 2 By use of the state-feedback control u = to place the closed-loop poles at s Kx, it is desired | li (i = 1, 2, 3), where -2 + j2V3. -2 – j2V3, l3 = -10 %3D Hz = Determine the necessary state-feedback gain matrix K.
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