How to optimise a specific equation in a model in order to fit the final curve of the model?
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Hello,
I am developing a model and trying to validate this model with some experimental data. Two
degree polynomial equations are used in this model as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1534682/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1534687/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1534692/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1534697/image.png)
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1534702/image.png)
The validation figure based on the aforementioned equations is as follows:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1534707/image.jpeg)
I would like to optimise the constants of
,or even use higher degree polynomial equations in order to get the best fitting to the experimental data. Is there a code or a function in MATLAB that can simultaneously optimise several constants or pameters?
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1534712/image.png)
Thank you in advance.
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Réponses (1)
Matt J
le 9 Nov 2023
13 commentaires
Torsten
le 13 Nov 2023
Further, it was intentionally that I chose p(1) and p(2) not equal to 0 in my code suggestion (you divide by them !).
Matt J
le 13 Nov 2023
I just see that T is a constant (383) and does not vary with i. In this case, the fitting as suggested doesn't make sense. Alternatively, you can use two different constants in the denominator and fit them:
In fact, you don't need more than one parameter, p1. The model can be rewritten,
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1538430/image.png)
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