Blue Chrono-Dalek

During the 2150s Dalek invasion of Earth, at least one Blue Chrono-Dalek was at the disposal of the Red Dalek.

The Blue Chrono-Dalek was capable of acting alone and following the Daleks' enemies through time; (TV: Susan and the Daleks) time travel at that point in Dalek history was in its infancy, with its existence being beyond the understanding of ordinary drones. (AUDIO: The Mutant Phase) After an older version of Susan Foreman (TV: Susan and the Daleks) than the one who would eventually help foil the invasion altogether and settle there for a time with David Campbell (TV: The Dalek Invasion of Earth) was noticed intruding on Dalek-occupied London by the Red Dalek and a Silver Dalek drone on patrol, she ran back to the Doctor's TARDIS and flew it to a different time-zone.

However, the Red Dalek summoned a Blue Chrono-Dalek. A few minutes after Susan had landed in a different time-zone, where she'd accidentally let the TARDIS be seen by a child and had invited him into the console room, the Blue Chrono-Dalek appeared and entered through the TARDIS's open doors, declaring that the time machine now belonged to the Daleks. (TV: Susan and the Daleks) Susan survived this encounter. (AUDIO: An Earthly Child, etc.)

Behind the scenes
Although the minisode Susan and the Daleks (included as part of the VHS special release More than 30 Years in the TARDIS) was the only appearance of a "Blue Chrono-Dalek" by that name, Big Finish Doctor Who audio stories later introduced a figure known as the Dalek Time Controller, who, in addition to being the Daleks' expert on time travel, also had a blue casing.