Brook, who remains mandatory challenger for the IBF welterweight title, was not out of second gear to eventually get rid of Robles in the eighth round of a scheduled 10.
The Sheffield stylist went through the full repertoire against a game opponent, who came with enough ambition to keep the home favourite honest.
He took the first three minutes to size up the Mexican, who carried enough power in both hands to make Brook wary.
As ever, a sharp jab set up all the good work and his powerful right hands began to disconcert Robles, who nevertheless continued to swing out of clinches and repeatedly landed with a right to the body.
Robles was docked a point for numerous low blow offences but Brook took them in his stride and always came back with spiteful combinations and upper cuts.
Past the halfway stage Brook was looking more and more impressive as he teed off at while, the seventh proving particularly one-sided as Robles tried to cover up as accurate blows rained down in swift succession.