A regulator system has a plant: Y(s). U (s) (s+1)(s+2)(s+3) 10 Define the state-variables as: 2 x, (1) = y (t) x, (t) = * (t) x; (t) = x, (t) By the use of state-feedback control u(t)=-Kx(t), it is desired to place the closed-loop poles at s = 4, (i=1,2,3), where 4 =-2+ j2/3, 4,=-2- j23, 4, =-10. Determine the necessary state-feedback gain matrix K.

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A regulator system has a plant:
Y(s).
U (s) (s+1)(s+2)(s+
10
+3)
Define the state-variables as:
2
x, (t) = y (t)
x, (t) = * (t)
x; (t) = x, (t)
By the use of state-feedback control u(t)=-Kx(t), it is
desired to place the closed-loop poles at s = 4, (i=1,2,3), where
4 =-2+ j23, µ, =-2- j2/3, 4, =-10.
Determine the necessary state-feedback gain matrix K.
Transcribed Image Text:A regulator system has a plant: Y(s). U (s) (s+1)(s+2)(s+ 10 +3) Define the state-variables as: 2 x, (t) = y (t) x, (t) = * (t) x; (t) = x, (t) By the use of state-feedback control u(t)=-Kx(t), it is desired to place the closed-loop poles at s = 4, (i=1,2,3), where 4 =-2+ j23, µ, =-2- j2/3, 4, =-10. Determine the necessary state-feedback gain matrix K.
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