James Vaughan's 86th-minute winner earned three points for the Terriers after Aidy White had cancelled out Neil Danns' first goal for the club.
Robins was also delighted to welcome back former Leeds favourite Jermaine Beckford, who was introduced in the second half for the first time since he suffered a hamstring injury in January.
"I thought it was brilliant," said Robins. "It was a typical derby game. The referee set his stall out early doors because he booked a couple of players and I thought there might not be 11 players left on the pitch.
"We grew into the game. We were resolute in the first half, got ourselves in front and conceded a really poor goal from our perspective because we started to drop (deep) and there was no pressure on the ball.
"But we kept our heads and although we were pegged back we were still in the game and although they were throwing bodies forward we dealt with it well."