Abstarct: this thesis, by employing Bergman minimal model to describe the dynamics of glucose-insulin system, a fractional order sliding mod controller with the aim of regulate blood glucose level in a shortest possible time is designed. Simulation result show that use of fractional derivatives in the sliding mod theory while maintaining system's robust performance against disturbances and changing parameters, the time of convergence of system’s trajectories into desired value redused and improves the controller's performance.