Constraining parameters in Curve Fitting Tool
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Emilie Veje
on 22 May 2017
Commented: John D'Errico
on 16 Sep 2019
Hello, I want to fit data to an exponential function a-(a-b)*exp(-c*x) using the Curve Fitting Tool but I want to set the limits on the 3 parameters. I want to add something like this:
options.Unknowns = [a,b,c];
options.Lower = [0,0,0];
options.Upper = [1,0.5,10];
I have generated code from the Curve Fitting Tool, so right now I have the function:
function [fitresult, gof] = createFit2(ExpT, ExpNorm_t1)
% Fit: 'untitled fit 1'.
[xData, yData] = prepareCurveData( ExpT, ExpNorm_t1 );
% Set up fittype and options.
ft = fittype( 'a-(a-b)*exp(-c*x)', 'independent', 'x', 'dependent', 'y' );
opts = fitoptions( 'Method', 'NonlinearLeastSquares' );
opts.Display = 'Off';
opts.StartPoint = [0.586235247766206 0.184587387921842 0.13921839531406];
% Fit model to data.
[fitresult, gof] = fit( xData, yData, ft, opts )
% Plot fit with data.
figure( 'Name', 'Exponential Fit to Data' );
h = plot( fitresult, xData, yData);
legend( h, 'Normalized Tether Intensity vs. time', 'Exponential fil to data', 'Location', 'NorthEast');
% Label axes
xlabel Time[s]
ylabel 'Normalized Tether Intensity'
griid on
I just do not know how to specify parameter limits inside the function.
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Accepted Answer
Danila Sokratov
on 16 Sep 2019
I'm sure this is too late, but in matlab you can write fit1 = fit(xData,yData,functionToFit,'Lower',[bound1,bound2,bound3],'Upper',[same,thing,3],'StartPoint',[sp1,sp2,sp3]);
In the curve fitting tool, you can fit to a custom equation, and then click fit options, which should bring you to a menu where you can select each parameter and set limits and starting points.
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