fitting bi-linear equation using fmincon
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Hello dear all
I am trying to fit a bi-linear equation on a dataset using fmincon command in MATLAB. My objective is to minimize the error in the whole bi-linear curve. My curve looks like the picture bellow:
and I want to fit a bi-linear model on it having two slopes and the x0 as the the unknown parameters. The whole bi-linear fitted line should give the minimum error ( sum(y-y^)^2 = min ).
in which d1 (or X0 in picture bellow) can have an upper and lower bond of for example [0.01 0.02].
So the final bi-linear fit would be like this:
I found the fmincon command in MATLAB the best way to achieve this goal, but unfortunately I don't know how practically program this.
What I provided in this question was a very simplified version of my actual task wich is tri-linear curve, so if I be able to fit a bi-linear, I will be able to implement it on more complex problems. I also attached my datapoints file.
I do appreciate you kind helps on this. Thank you very much.
4 个评论
Benjamin
2019-12-18
Jordan Poissy
2020-6-5
Hey Benjamin,
I am really interested in what you did but your zip file is not working. Is it possible to reupload it please because I would like to use your program to do the same thing with my data. Thank you very much !
Matt J
2020-10-15
Mattia Pucci's comment moved here:
Hello Benjamin
For my thesis I should do a code as similar as your.
I am attaching the "pushover" curve that I plotted in Matlab. I would like to built a bi-linear curve with the same area of first curve
I know the final poin ant the area.
How could I do?
I appreciate your help.
Benjamin
2020-11-6
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