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In this Lecture we are going to design observer
based state feedback controller in Matlab
(Simulink).
First look at the block diagram
EQUATIONS ARE GIVEN BY
Lets start our example
A=[0 1 0
0 0 1
24 14 -1];
B=[0
0
1];
C=[2 -1 1];
%first we will check the Controllability and Observability
P=ctrb(A,B);
if rank(A)==rank(P)
disp('System is controllable')
else
disp('System is not controllable')
end
Write this code in m file and run it
Q=obsv(A,C);
if rank(A)==rank(Q)
disp('System is Observable')
else
disp('System is not Observable')
end
poles=[-5+5*1i -5-5*1i -10]; %desired poles
K=-acker(A, B , poles) %state feedback controller gain matrix
obpoles=[-20 -20 -20]
l=acker(A', C' , obpoles) %state feedback observer gain matrix
L=l'
AFTER YOU RUN THE M FILE OPEN SIMULINK
AND DESIGN YOUR OBSERVER LIKE THIS
https://youtu.be/Lax3etc837U
• Follow this link to watch video on how to design the observer
• https://youtu.be/Lax3etc837U

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observer based state feedback controller design in Matlab (Simulink).

  • 1. In this Lecture we are going to design observer based state feedback controller in Matlab (Simulink).
  • 2. First look at the block diagram
  • 4. Lets start our example
  • 5. A=[0 1 0 0 0 1 24 14 -1]; B=[0 0 1]; C=[2 -1 1]; %first we will check the Controllability and Observability P=ctrb(A,B); if rank(A)==rank(P) disp('System is controllable') else disp('System is not controllable') end Write this code in m file and run it
  • 6. Q=obsv(A,C); if rank(A)==rank(Q) disp('System is Observable') else disp('System is not Observable') end poles=[-5+5*1i -5-5*1i -10]; %desired poles K=-acker(A, B , poles) %state feedback controller gain matrix obpoles=[-20 -20 -20] l=acker(A', C' , obpoles) %state feedback observer gain matrix L=l'
  • 7. AFTER YOU RUN THE M FILE OPEN SIMULINK AND DESIGN YOUR OBSERVER LIKE THIS https://youtu.be/Lax3etc837U
  • 8. • Follow this link to watch video on how to design the observer • https://youtu.be/Lax3etc837U