5. A regulator system has a plant: Y(s) U (s) (s+1)(s+2)(s+3) 10

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5. A regulator system has a plant:
Y(s)
U (s) (s+1)(s+2)(s+3)
10
Define the state-variables as:
* (1) = y(?)
x, (1) = i, (1)
x, (t) = i, (1)
By the use of state-feedback control u(t)=-Kx(t), it is
desired to place the closed-loop poles at s = u, (i=1,2,3), where
4 =-2+ j2/3, µ, =-2- j2/3, H, =-10.
3/3
Determine the necessary state-feedback gain matrix K.
•..
Transcribed Image Text:5. A regulator system has a plant: Y(s) U (s) (s+1)(s+2)(s+3) 10 Define the state-variables as: * (1) = y(?) x, (1) = i, (1) x, (t) = i, (1) By the use of state-feedback control u(t)=-Kx(t), it is desired to place the closed-loop poles at s = u, (i=1,2,3), where 4 =-2+ j2/3, µ, =-2- j2/3, H, =-10. 3/3 Determine the necessary state-feedback gain matrix K. •..
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