On Sun, 2013-06-09 at 22:05 -0400, Kent A. Reed wrote:
> On 6/9/2013 9:08 PM, Jon Elson wrote:
> > Gene Heskett wrote:
> >> Looking at its voltage output, with the motor disabled so there is no
> >> feedback,off       = 0.125 volts
> >> click fwd button= 0.382    diff    = 0.257
> >> click + button     = 0.942 diff    = 0.560
> >> click + again      = 1.584 diff    = 0.642
> >> click + again      = 2.302 diff    = 0.718
> >> click + again      = 3.094 diff    = 0.792
> >> click + again      = 3.970 diff    = 0.876
> >> click + again      = 4.940 diff    = 0.970
> >> click + again      = 6.04  diff    = 1.100
> >> click + again      = 7.33  diff    = 1.29
> >> click + again      = 8.88  diff    = 1.55
> >> click + again      = 9.90  diff    = 1.02
> > URK!  It isn't even monotonic!  That is harder to fix with a
> > piecewise-linear
> > interpolation.  (Some simplistic codes won't handle that.)
> >
> >
> 
> Ummm, I expect you mean the differences aren't monotonic, Jon.
> 
> Actually, plotting Gene's data as a set of twelve points X, V where X is 
> the number of clicks, I get a pretty decent graph --- looks like a 
> parabolic curve opening upward, with a bit of a burble in the next to 
> last point (or last two depending on how you look at data).
> 
> Trying a second-order curve fit (using the free tool simfit, but there's 
> lots of other tools) got me a decent looking result with a plot of 
> residuals that also gives the impression that the last two points are 
> questionable compared to the rest.
> 
> I don't chose simply to post the results because I don't believe any 
> single experimental run is sufficient. Repeat this experiment three or 
> more times, Gene, so we can begin to get an idea of the quality of the 
> data and then we can talk.
> 
> Regards,
> Kent

Except for the last point that looks like it should fit as a 2nd order
polynomial. Since we can to a considerable amount of calculation between
servo cycles calculating a simple polynomial should be simple and fast. 

Dave 
> 
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