%X In this paper we propose a tube-based robust model predictive control scheme for fractional-order discrete-time systems of the Grunwald-Letnikov type with state and input constraints. We first approximate the infinite-dimensional fractional-order system by a finite-dimensional linear system and we show that the actual dynamics can be approximated arbitrarily tight. We use the approximate dynamics to design a tube-based model predictive controller which endows to the controlled closed-loop system robust stability properties. %C Torremolinos, Spain %B 23th Mediterranean Conference on Control and Automation (MED), 2015 %P 384-389 %A Pantelis Sopasakis %A Sotiris Ntouskas %A Haralambos Sarimveis %D 2015 %L eprints2668 %I IEEE %R 10.1109/MED.2015.7158779 %T Robust model predictive control for discrete-time fractional-order systems