how to create a state-space model without disturbance

2 min readMar 22, 2022

how to create a state-space model without disturbance and how does the disturbance influence the solution

I would like to identify parameters of an ODE using the system identification toolbox. The sate-space representation in MATLAB is always formulated with a disturbance e, which always influences the solution y due to the equation y = Cx + Dy + e. In my problem, there is no disturbance present. Now, I have two questions: — Of which form is the disturbance e and in which way does it influence the solution (setting K = 0) — Is there the possibility to describe a state-space model in MATLAB without disturbance

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Kshitij Singh answered . 2022–03–21 06:08:26

The difference between the output of the model and the actual (measured) output is, in general, not going to be zero. So, there will be an error e such that:

e = ymeasured-ymodel,

where

ymodel = Cx + Du

which means:

ymeasured = Cx + Du + e

When you set K = 0 in the idss model, the parameters you get by minimizing |e||| are the ODE coefficients you are interested in. Furthermore, using

[A, B, C, D] = ssdata(model)

you can extract out the state-space coeff

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