Consider the system i = Ax + Bu, y = Cx with 1 -1 2 A 1 -1 ,B 0 0] 1 1 Design a controller K such that the control input u = -Kâ places the poles of A – BK at {-2, –1+ j} . â is the estimated value of æ obtained using the below observer design specifications : (I) âæ is the state of a full-order observer whose poles are located at {-5, –4, –3}. 10)Total number of state variables in the output- feedback (comprising the plant and the observer) system defined by (1) are 11)Let K = [k1 k2 k3] be the controller gain. k3 %3D

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Solve Q11 only
Consider the system i = Ax + Bu, y
= Cx
with
1
-1
A
1
-1
,B =
,C = [1 0 0]
1
1
3
Design a controller K such that the control input
u = -Kâ places the poles of A – BK at
{-2, –1±j} . âx is the estimated value of x
obtained using the below observer design
specifications : (I) â is the state of a full-order
observer whose poles are located at
{-5, –4, –3}.
10)Total number of state variables in the output-
feedback (comprising the plant and the
observer) system defined by (1) are
11)Let K = [k1 k2 k3] be the controller gain.
k3
%3D
Transcribed Image Text:Consider the system i = Ax + Bu, y = Cx with 1 -1 A 1 -1 ,B = ,C = [1 0 0] 1 1 3 Design a controller K such that the control input u = -Kâ places the poles of A – BK at {-2, –1±j} . âx is the estimated value of x obtained using the below observer design specifications : (I) â is the state of a full-order observer whose poles are located at {-5, –4, –3}. 10)Total number of state variables in the output- feedback (comprising the plant and the observer) system defined by (1) are 11)Let K = [k1 k2 k3] be the controller gain. k3 %3D
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