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Reducing state space order by doing matrix operations

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Barkat
Barkat 2018-7-27
评论： Aquatris 2018-8-1
Dear All
I have (11 by 11) state matrix, three inputs and 9 outputs in the attached MATLAB file. I want to drop the second plant input , first four outputs, output number 6, 7 and 8 , as I dont need these for further operations by using a controller just like an attached example. can anyone please help me in this regard?
A1 = [-0.2506 1.989; -0.08803 -1.167];
B1 = [0 1 0.3;1 0 0];
C1 = [1 0; 0 1];
D1 = [0 0 0;0 0 0];
sys = ss(A1,B1,C1,D1)
If I drop the first input and second output , then use the following command
sys = sys(1,2:3);
This will reduce the size of input and output operations. Similar help is needed for the attached
% code
A = [0 0 0.2616 0 0 0 0 0 0 0.7483 -0.6634;...
0 0 -0.2616 0 0 0 0 0 0 0.6634 0.7483;...
0 0 0 1 0 0 0 0 0 0 0;...
0 0 -8.205 0.1144 -141.7 125.6 0 0 -0.2498 -4.593 -90.72;...
0 0 0 0 0 0 1 0 0 0 0;...
0 0 0 0 0 0 0 1 0 0 0;...
0 0 0 0 0 0 0 0 0 0 0;...
0 0 0 0 0 0 0 0 0 0 0;...
0 0 0 0 0 0 0 0 0 0 0;...
0 0 -0.1448 -0.04184 0.8347 -0.7405 0 0 0.4732 -0.9367 1.141;...
0 0 0.078 0.1954 -0.2402 0.2131 0 0 0.2852 -0.2871 -4.836]
B = [0 0 0;...
0 0 0;...
0 0 0;...
-0.6585 0.3862 0;...
0 0 0;...
0 0 0;...
1 0 0;...
0 1 0;...
0 0 1;...
-0.1434 -0.002274 0;...
-0.001117 -0.07752 0]
C = [ 1 0 0 0 0 0 0 0 0 0 0;...
0 1 0 0 0 0 0 0 0 0 0;...
0 0 1 0 0 0 0 0 0 0 0;...
0 0 0 1 0 0 0 0 0 0 0;...
0 0 0 0 1 0 0 0 0 0 0;...
0 0 0 0 0 1 0 0 0 0 0;...
0 0 0 0 0 0 1 0 0 0 0;...
0 0 0 0 0 0 0 1 0 0 0;...
0 0 0 0 0 0 0 0 1 0 0]
D = [ 0 0 0;...
0 0 0;...
0 0 0;...
0 0 0;...
0 0 0;...
0 0 0;...
0 0 0;...
0 0 0;...
0 0 0];
Thank you

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采纳的回答

Barkat
Barkat 2018-8-1
Can I do it like the following as well? B=[B(:,1) B(:,3)]; C=[C(1,:);C(2,:);C(7,:);C(11,:)];
  1 个评论
Aquatris
Aquatris 2018-8-1
Yes, and you need to adjust the D matrix as well. Your D matrix is all zeroes so Matlab also accepts if you do
D = 0;

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更多回答（1 个）

Aquatris
Aquatris 2018-7-30
Removing 2nd plant input;
B(:,2) = [];
Removing the outputs 1,2,3,4,6,7,8;
C([1 2 3 4 6 7 8],:) = [];.
Adjusting the D matrix;
D(:,2) = [];
D([1 2 3 4 6 7 8],:) = [];
  1 个评论
Aquatris
Aquatris 2018-7-30
Alternatively, you can use feedback function and define the indices where you want your controller and system to connect without removing any input or output from your system;
sys = feedback(sys1,sys2,feedin,feedout)

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