Rise of the Tomb Raider, a direct sequel to Tomb Raider (2013), was first announced during E3 2014. At Gamescom 2014, Rise of the Tomb Raider was confirmed to be exclusive to Microsoft's Xbox One. They did not specify whether or not it will be a timed-exclusive or if they have plans for the PlayStation later on.
The Tomb Raider series first appeared on the PlayStation, Sega Saturn and PC. Due to it's success on the PlayStation, it led to further sequels and attributed to the success of the PlayStation in the mid 1990's.
Tomb Raider (2013) was a reboot of the franchise, giving Lara Croft, the main protagonist of the series, a new beginning and story. The plot revolves around Lara's escape off an island, Yamatai while investigating the legend of the goddess Himiko, the Sun Queen.
Rise of the Tomb Raider will take place after Tomb Raider (2013) dealing with Lara Croft and how the island of Yamatai effected her, adding to her character development into her role as the Tomb Raider. Due to be released Holiday season 2015, will not be releasing on the PlayStation, making it the first core game of the series to be an exclusive title.
Tomb Raider (2013) came out last year for PlayStation 3, PlayStation 4, Xbox 360, Xbox One, Windows, and OS X.