Carter who is only the sixth player in Crucible history to make a maximum 147, won the opening frame with the highest break being a mere run of 13.
With the balls in favourable positions, unlike the first, it was Robertson who took full advantage. Playing in a very composed manner he rolled in breaks of 48 and 43.
He continued his fine form in the next, when recorded his seventh century of the championship, a smooth 116 to lead 12-7.
Carter was clearly unsettled with his form and a bad rub of the green was not helping his cause either.
The man from Oz then rattled in another frame winning visit, this time a 78 break securing a healthy 13-7 lead.
That was soon to be extended at 14-7, as Robertson again capitalized to the full with yet more solid contributions of 38 and 51.
A dejected Carter sat in his chair, with no answer to the onslaught, scoring only fourteen points in the previous four frames spoke volumes of the dominance that Robertson had shown.
The former Welsh Open champion also knowing that unless he got another frame on the board, he could get beat with a session to spare.
His relief was palpable as he dug deep and knocked in a modest 41 break, to ensure the pair would return Saturday afternoon.
Carter looked tired, almost as if his earlier exploits in the event where starting to take their toll,but again he rallied with a run of 51 to get within five frames of the attacking left hander at 14-9.
Despite the mini comeback, Carter was dealt yet another bad rub of the green in the last. He looked well on his way to share the session and remain four behind were he started the evening. He potted the green from distance, but was made suffer as the cue ball travelled slowly up the table going in off into the yellow pocket.
With the cue ball in hand, Robertson cleared from green to pink to seal a commanding 15-9 lead, and just needs two more for a shot at snookers' greatest prize.
They play to a finish Saturday afternoon at 2:30pm with a maximum of nine frames to be played.