Stubbs, 44, has become the Millers' new manager after signing a three-year deal after deciding to leave Hibernian just 10 days after winning the Scottish Cup.
The former Everton and Celtic defender said that as a career move Rotherham was too good to turn down and is setting his sights high for the 2016-17 campaign.
Stubbs, who replaced Neil Warnock in the Millers hotseat, said: "The club have had two seasons now where they have stabilised in the Championship and we are looking now to take the club forward. That's the aim, full stop.
"We want to be moving up the table and, ultimately, one that is around the play-offs come the end of the season.
Chairman Tony Stewart, who appointed his sixth manager in six years and third in eight months, added: "A lot of managers put their hat in the ring and the board
and myself took our time.
"I have to say Alan was head and shoulders above
everybody else. We liked his leadership. He's been the captain of probably
every club he's been at as a footballer."
