There is nothing in canon to support this, but he may have upgraded the robot to be compatible.
As Cooper is recovering on the station, and awaiting the arrival of his daughter, he find the robot in the museum they have set up based on his house. It is in serious need of repair, and he busies himself by making the necessary reparations. It is entirely possible, that he upgraded or modified it in some way to be compatible with the newer systems. (Replace the USB 5.1 with Tornado)
He was shown the new Rangers upon awakening in the station, and probably would not have been restricted from getting a very detailed look at them and their inner workings. He was an ace pilot and hero of legend in addition to being a technical expert.
As he had enough of an emotional attachment to the robot to repair it, and a desire to at least fly a new Ranger, he had the motivation to waswant his robot with him on his outings. He intended from the outset of repairing it for it to fly with him.
Again, nothing solid to support this, but it is entirely plausible. He had the time, skill, resources, and motivation to upgrade the robot to be compatible with the new Rangers so that it could fly with him.