Is there any documentation for how MATLAB performs linearization when we turn on the UseExactDelayModel in linearizeOptioins?

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Saugat Ghimire 2024-2-15

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https://ww2.mathworks.cn/matlabcentral/answers/2082648-is-there-any-documentation-for-how-matlab-performs-linearization-when-we-turn-on-the-useexactdelaymo

评论： Saugat Ghimire 2024-2-21

I am trying to find out what MATLAB does when we linearize a model with UseExactDelayModel option turned on. It is said to be more accurate representation than Pade approxmiation but I could not find any documentation on how linearinzation is done with exact represenation of the delay.

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Answer 1

Sufiyan 2024-2-19

You can check out Models with Time Delays - MATLAB & Simulink (mathworks.com) where it says, When you linearize a model in MATLAB with the UseExactDelayModel option turned on, MATLAB identifies all the time delays present in the system and Instead of approximating the delays with a Pade approximation or other methods, It preserves these delays in their exact form in the linearized model.

May be it constructs a linear model that explicitly includes these delays. The model can be a state-space model with internal delays represented as delayed states or a transfer function

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Saugat Ghimire 2024-2-21

Thank you for your resonse Sufiyan. I saw that when UseExactDelayModel is turned on, MATLAB gives the linearized model for which it might have represented the internal delays as delayed states or transfer function as you suggested. But the state space matrices that it returns are computed with internal delays set to 0. Do you know if these matrices can be obtained with the delays considered?

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