Nono, I not modeled autopilot gain, as it is not necessary. In the manuals there are several charts that were digitized and the program grabs data from those, and at the end, the missile is behaving pretty close as it is described there.
For example: describing missile range against time
Hpasp Free SAM Simulator, "Realistic to the Switch" (U-2 over Sverdlovsk, B-52's over Hanoi, F-4 Phantoms over the Sinai, F-16's and the F-117A Stealth bomber over the Balkans.) http://sites.google.com/site/samsimulator1972/home