Understand the global optimization VI

Hello

I have a task that requires the use of potimization overall, however, I'm not really familiar with it. I tried to look at the example of VI, however I have a hard time understaniding where my data would go.

My current task includes measuring the mechanical impedance (such as a spectrum of complex numbers) and adjusting a model of 4 parameters with the GOP on this issue, find the best values. (This is how it has been described by previous to work best, so I am trying to implement this way). The result of this process would be to minimize the difference between the measured impedance and the model mounted on it.

Our research group is using a program with an implementation of the work for this, but we want to implement this model Assembly in Labview.

The impedance data is a complex number, so it has real and imaginary, parts with some parameters of the model being determinde by real and imaginary data part.

I tried to use a 'simple' Lev - Mar hold on my data as a first try by changing the screw of this topic (using cast to enter complex data of the vi of Lev - Mar), but there only values similar to my desired adjustment (made with the existing program) if I put the very close estimate of the values that I receive in my program. That's why I wanted to move to global optimization, labview for finding these estimate values within certain limits.

And that's where I'm stuck:

I have a complex impedance (so real and imaginary parts for frequency points) and an equation that is supposed to give the output. If I take the example of 'Two circles Optimization' for example vi, where should I post my spectrum of impedance for the VI to analyze? As the Lev - Mar had clear entered for my data (like X and Y), I knew where over my data, but with global optimization I don't know, where the son.

I feel that I should use a VI for the objective function to manage the complex of entry as well.

The objective function for optimization should be the average of "[Z (omega) - Zfit (omega)] /Z (omega)" for each frequency points, with Z being measured and Zfit being the impedance with the estimation of parameters. Zfit = A + j * Omega * B + (C - j * D) / (Omega ^ [(2/pi) * arctan(C/D)] (j is the imaginary unit))

So where should I put my impdance data in the example vi to be used by the function of parameter?

Thank you very much, I hope that my explanation is more or less clear

A few suggestions. In your cost functions, use a Subvi to encapsulate the actual distance function.  For example, a VI that has A, B, C, D, Z] and [w] as inputs and output distance.  Then the same Subvi common can call the cost for each type of optimization function. If possible, structure things so that your graphics code uses the same screws as your optimization code.

In your graphics, the 'Original' and 'MyProgram' curves seem to be closer than the rest, but when I entered "MyProgram" settings in one of the cost functions, the output of function is ~ 0.16, which is bigger than all the results of the optimization.  It seems that there is a gap between the graph and the cost function, if I interpret it correctly.  This may mean that the cost function is not quite what you wanted.

I suspect optimization features converge not well, at least for the algoritm unconstrained.  Maybe it's why you get the error armijo.  The more robust algorithm without constraint is the Nelder-Mead simplex algorithm, so try one until you are sure things are working well, then move on better/more rapid convergence.

-Jim

Tags: NI Software

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