About comparision results mismatch in System Identification Toolbox

Question

Yiming 2013-4-4

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https://ww2.mathworks.cn/matlabcentral/answers/69809-about-comparision-results-mismatch-in-system-identification-toolbox

Hi all, I'm currently using the SIT to estimate the state space model of a multiple input multiple output (MIMO) system.

I am able to get the corresponding 'A', 'B', 'C', 'D' and 'K' matrices based on my inputs and outputs, using the 'n4sid' method, and the fitting result seems to be really good (higher than 95%). I want to simulate these results in my m-files, and I use the same inputs values and the matrices from above estimation, simply as

x(k+1) = A*x(k) + B*u(k) and y(k+1) = C*x(k) (D is an empty matrix).

Here comes the problem: the simulated result 'y(k+1)' is far away from my measurement outputs values, which is also the one I used in SIT estimation. I tried once with fixing K=0, but result was still the same. There might be some influence from the noise, but I don't think it's that large.

Could someone explain me why this happen? And I am also wondering how could the SIT get the simulated output curve in the 'Model Output' option.

Thank you so much for your help!