Of course, first I tried to control backlight by raspberry gpio. PIR send signal to raspberry, and by some python script open NPN bipolar tranzistor which turns backlight on.

But there was a problem with hight current, and any other problems.
In the invertor the are 4 cables: ground, brightness 3,1-3,5V, backlight 5V, power 12V.
Fortunately the backlight si possible to control via any voltage (not any, but 3V-12V is ok). The PIR has output 5V, so I connected the output from PIR directly to LVDS converter. Be carefull, you have to hook up the groud in raspberry and in LVDS!