I have pretty severe performance problems as well (Windows 10, 7970M AMD card (latest version of Catalyst & accompanying drivers are installed), 64 bit Java (JRE-8) & about 4~ gigs of memory allocated to Starsector.
Running on the GPU, SS gets about 20~ ish FPS on the map screen and 30~ ish FPS at best in combat. Idling on the main screen, FPS is very inconsistent, jumping from 40 to 50 to 60 FPS regardless of what is being drawn on the screen (Idle hovers around 60-70%).
Oddly, running on the dedicated 'Intel HD' mobo graphics (no idea what actual processor Alienware put on the mobo), which is more or less pure garbage & only used as a controller for the display, causes Starsector to run significantly better (consistent 60 FPS idling at 80-90% on the main screen, 60 FPS in small fleet actions (but dipping back to barely-playable 20-30~ FPS when battles become large enough to actually be fun, because - as I said - the 'Intel HD' processor is pure garbage), 40~ FPS on the map screen.
I have ShaderLib installed, but have turned off all of it's graphical effects.