Hi, I am working on L1 adaptive control where I need to find the Right Interactor matrix for my MIMO transfer system G(s). I am following the algorithm given in "A simple state-space design of an interactor for a non-square system via system matrix pencil approach." by Xin Xin and Tsutomu Mita. I have attached the figure for clarification.
I need to understand how Equation-19(In the figure) gives me a state-space model since there is Laplace variable 's' being used instead of just constant Matrices A, B, C, D. I have all the block matrices A11, A12, A21, A22, and H, however, I could not find this representation anywhere and hence failed to get Z(s).
Any help would be appreciated.
Dear Fahad Raza Khan,
I suggest you to see links and attached file on subject.
https://corescholar.libraries.wright.edu/cgi/viewcontent.cgi?article=2997&context=etd_all
https://www.politesi.polimi.it/bitstream/10589/89806/1/2014_03_PhD_Ripepi.pdf
https://link.springer.com/chapter/10.1007%2F978-1-4613-0261-2_2
Best regards
Dear Mohamed, Thank you for taking the time and sharing these resources. They are indeed helpful, however, I could not find the solution to my problem.
In the work you cited I see:
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If E=I, the term−sE+A in the above notation is replaced by A for simplicity.
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right before the Preliminaries section.
Maybe that's the reason.
Thank you Simone Pozzoli
I tried that too but I could not succeed to reproduce the results of the example given in section 5.
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