Reduce this Matrix pair to controller form "A=PAP^-1 and B=PB" A = (0 0 1 0;...

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Question

Reduce this Matrix pair to controller form

"A=PAP^-1 and B=PB"
A = (0 0 1 0; 30-3 1; -1 1 4 1; 1 0 -1 0) -0016:30-3 1.4141:10-10) B = (0 0; 1 0; 0 1; 0 0)

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Answer 1

Answer #1

MATLAB has an inbuilt function to compute controller matrix, ctrb()

Here is the implementation:

Define A and B matrices. A = [0 0 1 0; 30-3 1; -1 1 4 1; 1 0 -1 0]; B = 100; 1 0; 01; 0 ]; Compute controllability matrix. Co

Here si how you can calculate it without the function:

Govou AWNA A = [0 0 1 0; 30-3 1; -1 1 4 1; 1 0 -1 0]; B = [0 0; 1 0; 01; 0 ©]; Co - CB, A*B, A^2 * B, A^3* Bil

It wil also produce the same result.

Hope this helps.

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Answer 2

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