When the Doctor first arrived on the Moonbase, they were in the middle of a crisis. Hobson was suspicious of the Doctor at first, and his suspicions grew when he realised their problems started around the same time the Doctor and his friends arrived. He threatened to throw the Doctor and his friends off the Moonbase, even though he had given the Doctor a day to find the cause of the infection on the Moonbase.
He changed his attitude towards the Doctor when the Doctor discovered that the virus was caused by the sugar on the Moonbase. After this, Hobson trusted the Doctor and listened to his suggestions. He wanted to shut down the Gravitron when it wasn't working, but Space Control wouldn't let him. When the Cybermen shot a hole in the Moonbase, he helped plug the hole to keep the oxygen from rushing out. He helped the Doctor realign the Gravitron to send the Cybermen floating away. In the aftermath, he and his men had a lot of cleaning up to do. (TV: The Moonbase)
Alternate timeline Edit
When the Cybermen allied with Rassilon to take over history, they manipulated the encounter at the Moonbase leading to the Second Doctor being partially cyber-converted. (COMIC: Prologue: the Second Doctor)