How to calculate the "Fit to estimation data validation" and the "MSE" between 2 curves and add it to the legend of the graphic?

I have 2 types of plots that, in the end, hold all and the matlab returns a graphic with 8 curves. However there are 4 pars of curves that i want to know the fit data estimation and the MSE (each par is form by a "--" and "-" curve). Knowing those 2 parameters i want tha they apperar in front of the four last legnd topics like this: M(0.3) Fit:... MSE:...

%Função de transferência do par xF-xP

numM=[1.123];

denM=[1 0.1912];

M=tf(numM,denM, 'Outputdelay',0.02);

hfig=figure;

for f=[0.3 0.5 0.7 0.1]

sim("Evaporador_18_03_2023.slx");

plot(t,xP_d,'--','LineWidth',2.5);

hold all

end

for x=[0.3 0.5 0.7 0.1]

opt = stepDataOptions;

opt.StepAmplitude =x;

[y,p]=step(M,40,opt);

plot(p,y,'LineWidth',1);

hold all

end

hold off

grid;

title('Comparação....'); %colocar um melhor título

xlabel('Tempo (horas)')

ylabel('% weight');

legend('xF vs xP(0.3)','xF vs xP(0.5)','xF vs xP(0.7)','xF vs xP(0.1)','M(0.3)','M(0.5)','M(0.7)','M(0.1)');

ax = gca;

colororder(["#2477B5";"#E90824";"#000000";"#A2142F";"#E68000";"#26D254";"#BBB81D";"#4580EE"]);

Answer 1

[Nikhilesh]

Hi Miguel,

To add the fit data estimation and the MSE to the legend for each pair of curves, you can use the fit function (Fit curve or surface to data - MATLAB fit (mathworks.com)) to fit a curve to the data and then extract the fit data and the MSE.

You can use a loop to iterate through each pair of curves and fit a curve to the data using fit. Then you can extract the fit data and the MSE using func2str (Construct character vector from function handle - MATLAB func2str (mathworks.com)) and sum. Finally you can plot the fit curve with the legend using sprintf.