From a walkthru:
Fyarr packs only a Heavy Repeater, but his shielding prevents you from damaging
him directly, and will repel and damage you if you make contact with it. You'll
need to use your Lightsaber to overload the shields, which is a delicate
process to say the least: move too close and you'll be thrown across the room;
stay too far away and you won't make contact and probably get hit with a few
bullets. I'd use the Medium Lightsaber style to knock the shields out, as that
style combines the range and the speed you need in this situation.
Por Que points out that you can use the secondary fire of the Repeater to drop
his shields much more easily and safely than using the Lightsaber. He also
notes that you can jump into the girders to avoid Fyarr's fire for a limited
amount of time if you need to heal up or recharge your Force meter.
Cyclops de Baba sent along a tip that prevents Fyyar from re-raising his
shields after they drop. I didn't notice this at first, but Fyyar has a
Y-circuit above his head that the shields emanate outward from; this circuit is
distinctly targetable and can be destroyed when his shields are down. Once you
drop his shields, hit Speed, run around him, and blast the circuit with any
rapid-fire weapon; the Blaster Rifle works just fine. The circuits explode,
damaging Fyyar, and making him vulnerable for the rest of the fight.
Andysoft sent along this tip: "After several tries my best effort was with the
Golan Arms FC-1 Flechette gun. Secondary fire will disable his
shield pretty fast if you hit him dead on. Then after his shield is down, Force
Speed and shoot him from behind from close range. He was toast in no time.
Resembles a rodeo it was so quick

"
When Fyarr's shields fall, they recharge slowly and go back up 12-15 seconds
later if you don't destroy the circuitry. You'll need to take advantage of this
interval by slicing the Admiral six ways to Sunday while you can, but be wary
of getting too close to Fyarr's front side, as he'll use his fist to punch you
across the room if he connects. I recommend the Strong style and Speed here,
similar to the tactic that you'd use against a Shadow Trooper. It may take you
three or four sequences of dropping his shield and attacking, but Fyarr will
eventually go down.