Command 'place' for MIMO Control Systems

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Mohammad Ayoub
Mohammad Ayoub 2018-4-11
评论： Mohammad Ayoub 2018-4-12
Greetings,
For the MATLAB command:
K = place(A,B,P);
Does anyone how it works for a MIMO case? Like for a SISO case it is based on Ackermann's formula
I am trying to know the mathematical theory behind the command, not the code itself.
Thank you in advance.

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Walter Roberson
Walter Roberson 2018-4-11
https://www.mathworks.com/help/control/getstart/pole-placement.html
https://www.mathworks.com/help/control/ref/place.html
"place uses the algorithm of [1] which, for multi-input systems, optimizes the choice of eigenvectors for a robust solution. "
"[1] Kautsky, J., N.K. Nichols, and P. Van Dooren, "Robust Pole Assignment in Linear State Feedback," International Journal of Control, 41 (1985), pp. 1129-1155."
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Mohammad Ayoub
Mohammad Ayoub 2018-4-12
Thank you very much. The mathematics in the paper are pretty complex haha, I wanted to program something similar but I guess I am gonna give up for now.

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