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Controllability matrix computation for time invariant linear system without using built in ctrb function.

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Controllability matrix C = [B,A*B,...,A^(n-1)*B], where A is n x n matrix and B is n x m matrix.
I would like to compute C without using ctrb function. I was thinking of calculating all the matrices i.e. B,A*B,...,A^(n-1)*B and then concatenating them together using cat function. Maybe using a for loop to do so. I know it would not be efficient. However, i would still like to give it a go. Any suggestions or different approaches would be helpful.

回答 (1 件)

Matt J
Matt J 2017 年 8 月 25 日
編集済み: Matt J 2017 年 8 月 25 日
I would use the fact that C{i}=A*C{i-1}.

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