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Identification of 2x2 system in SS by separate excitations 1x2

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Branislav
Branislav am 3 Jun. 2023
Kommentiert: Mathieu NOE am 28 Jun. 2023
Hi,
I have a strongly coupled 2x2 system trying to identify. By parallel excitations of both inputs (with some time separation between impulses), I got some resutls but too noisy. Now I want to combine the identification of two separate experiments: from Input 1 to Output 1 and 2, from Input 2 to Output 1 and 2. And finally, I want to mix the two identified SS results into one joint 2x2 function. I guess this is possible also in SS domain, since in TF domain it is trivial, just filling the matrices.
I am aware that I can get in TF mode, from experiment 1, G11 and G12, and from experiment 2 G21 and G22, and finally to combine in one matrix of TFs [G11 G12; G21 G22]. My question is if this can be done also in State Space.

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Mathieu NOE
Mathieu NOE am 5 Jun. 2023
hello
there is already tools available for MIMO identification
look here :
and the attached zip files - these are from the 90's !! but still valuable tools

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