If I already had a function and some points(x,y), how can I find six parameters in a function?

I already known a function: a+b.*exp(c.*t)+d.*t.*exp((e.*t).^f

unknown parameters are 6 : a b c d e f.

some points:

Please help me. Thanks!

[Alex Sha]

if possible, attached your data in .mat or .xlsx format

Answer 1

[Matt J]

fminspleas would be a good choice,

https://www.mathworks.com/matlabcentral/fileexchange/10093-fminspleas

seeing as 3 of your parameters (a,b, and d) are intrinsically linear,

funlist={1, @(cef,t) exp(cef(1).*t)  , @(cef,t) t.*exp((cef(2).*t).^cef(3)) };

[cef,abd]=fminspleas(funlist,[c0,e0,f0], t,y);

[a,b,c,d,e,f] = deal(abd(1), abd(2), cef(1), abd(3), cef(2),cef(3));