I cannot see in the OPs descriptions, any reference to 13V RMS.
What do you think the meter he used to measure the 13V dc was displaying ?
You aren't really telling me that you didn't know all digital meters use rms to display dc voltage ?
Fluke 87V Industrial True RMS Multimeter with Temperature (TRMS, Analog Bargraph, Digital Display, Backlight, 1000VAC/DC, Measure up to 10 A, 20 A for up to 30 seconds)
What he said was that with no control input, he measures 13V (DC) across the control terminals. This is precisely as you would expect; it has some form of pull-up to an internal voltage source, which same source is operating its control circuits - how else would it be able to calibrate to the 10V as "full scale"? Obviously, it would not default to less than 10V because it must default to full brilliance and presumably any voltage up to 10V will result in a proportional dimming function whilst any voltage of 1V or greater will be full brilliance.
Nothing the OP said or could say about the device he want to control has any relevance to the output
voltage of the RC LP FILTER. If he has not measured that by itself, without a connection to the dimmer
then we are wasting our time.
Based on this comment:
i have used an RC filter before the omp-amp so i can gain 0-10V from the arduino output.
here is a picture from my circuit:
It would appear he has, however, I would feel more comfortable about it if he had worded his comment,
"I measured 0- 10 V on the output of the filter with no connection to the dimmer"
but maybe that is just his way of saying that. I don't know.
" i can gain" isn't exactly "I measured..." but I suppose it's just semantics and that's what he meant.
I am not concerned about what he measures on the floating input of the device. My first question would be does the thing turn off when he shorts the input to ground ? My next question would be does it turn on full when he connect a 9V smoke alarm battery to it. My next question would be what happens when he connects a 10k pot across the 9V battery and connects the output of that to the dimmer analog input. If everything up to that point seems to work, then it would be appropriate to go ahead and test his RC LP FILTER output with the dimmer.
I must say I don't follow this comment:
proportional dimming function whilst any voltage of 1V or greater will be full brilliance.
in view of the OP's comment:
my project which is controlling an 1-10v dimmable ballast.
Why would any voltage 1V or greater result in maximum intensity ?
What is the rational for that ?
@OP,
Promblem controlling an 1-10V dimming ballast
What's wrong with this picture ?