Manuel asked . 2022-03-21

how to create a state-space model without disturbance

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

state-space model , ode , Control Systems , System Identification Toolbox

Expert Answer

Kshitij Singh answered . 2024-12-21 01:41:33

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 coefficients of the output-reproducing model: xdot = Ax + Bu; y = Cx+du

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