Command 'place' for MIMO Control Systems

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.

Answer 1

[Walter Roberson]

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."

[Mohammad Ayoub]

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.