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How to do curve fitting to a custom function with 7 fitting parameters?

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Shuai Nie
Shuai Nie on 26 May 2020
Answered: Alan Weiss on 26 May 2020
I have 11 sets of measured data (x:Delta_n, y:Tau_base) for different temperatures, I want to fit them using an custom function 'Seff_model1_temp3' (y: TauEff and x: Delta_n). I have 7 fitting parameters (see highlighted part in the code).
By varing temperature (T), I want to fit all 11 sets of data using same fitting paramters.
Can someone help me with the fitting? prefer to use nonlinear least squares. I want to set the upper and lower limit for each fitting parameters as well!
Thanks in advance!!!!

  1 Comment

Star Strider
Star Strider on 26 May 2020
You will have to code the objective function yourself. See Anonymous Functions for one way to do that.
Also see the documentation for the optimisation function you want to use, so you can write the function correctly for it.

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Answers (1)

Alan Weiss
Alan Weiss on 26 May 2020
There are examples related to this in Nonlinear Data-Fitting and possibly Fit an ODE.
Alan Weiss
MATLAB mathematical toolbox documentation


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