Let the following dynamic system be represented in the state space: [1 -2 x(t) + |8 u(t) -3 *(t) = 13 -1 11 Lo] y(t) = [1 0 0]x(t) Assuming that all the states are known or available for measurement, from the Pole Location method, design a static feedback controller of the states: u(t) = –Kx(t) | such that the system has the behavior given by the differential equation: -3 10 *(t) = Mx(t) =|-2 -2 23 1 x(t) %3D -1. where M is the characteristic matrix that meets the desired requirements in closed loop.

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Let the following dynamic system be represented in
the state space:
[1
-2 x(t) + |8 u(t)
-3
*(t)
= 13
-1
11
Lo.
y(t) = [1 0 0]x(t)
Assuming that all the states are known or available
for measurement, from the Pole Location method,
design a static feedback controller of the states:
u(t) = –Kx(t)
|
such that the system has the behavior given by the
differential equation:
-3
10
*(t) = Mx(t) =|-2
-2 23
1
x(t)
%3D
-1.
where M is the characteristic matrix that meets the
desired requirements in closed loop.
Transcribed Image Text:Let the following dynamic system be represented in the state space: [1 -2 x(t) + |8 u(t) -3 *(t) = 13 -1 11 Lo. y(t) = [1 0 0]x(t) Assuming that all the states are known or available for measurement, from the Pole Location method, design a static feedback controller of the states: u(t) = –Kx(t) | such that the system has the behavior given by the differential equation: -3 10 *(t) = Mx(t) =|-2 -2 23 1 x(t) %3D -1. where M is the characteristic matrix that meets the desired requirements in closed loop.
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