Reducing state space order by doing matrix operations
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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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Aquatris
am 30 Jul. 2018
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 Kommentar
Aquatris
am 30 Jul. 2018
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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