Tryndamere - Is he OP?

After one too many games in summoner's rift being won by tryndamere, I personally came to the conclusion that tryndamere's ability's, however reworked that they are, are mostly balanced except for his ult. Either the duration of the ult or the actual effect of it (making tryndamere literally unkillable and restoring some health) is supremely overwhelming in stark comparison to say aatrox or nautilus's ult. Tryndamere alone can tank a turret without even having health to tank it with, which is a new kind of tank meta if you ask me, and has an astonishingly high attack speed and damage and even crit rate while also being unkillable. It's almost like giving katarina an item that regens at base that gives her temporary invuln and a free load of lifesteal to boot. In my opinion, this ult either needs to change, be nerfed heavily, or some other third option I don't care to come up with.