What optimization tool do I need to use? The "Curve Fitting" app seems to not work. What I was looking for was a tool that would be analogous to Excel "solver," which I did not find. I am sure there are better ways to do this in Matlab.
I don't know about some curve fitting commands, as I think you want. But there is one possibility, which definitely works in Matlab and which also has a lot of potential if you possibly want to expand your model.
In Matlab you have the "Optimization Toolbox" with a lot of parameter identification algorithms. Some algorithms which are not gradient based and quite simple to use are "genetic algorithm", "pattern search" and "fminsearch".
If you don't have the full license for Matlab including the Optimization Toolbox, at least the last one should work. fminsearch should also work in the basic licencse of Matlab.
You can use curve fitting tools (cftool) to fit data to your series. maxwell or prony for two model are its default. For higher degree you should define your equation.
It's very easy. Have look at this paper. I think it helps you a lot.
Article Efficient and optimized identification of generalized Maxwel...
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