Amir Razzaghian - Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Reihaneh Kardehi Moghaddam - Department of Electrical Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Naser Pariz - Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

The paper introduces, a novel fractional-order robust controller based on fractional -order terminal sliding mode control technique for stabilization of a class of uncertain chaotic systems in the presence of structured uncertainties and external disturbances. First, applying fractional calculus, a fractional-order terminal sliding surface is proposed and then to satisfy the sliding condition in finite time, the corresponding control law is designed using Lyapunov stability theorem.The proposed fractional-order robust controller exhibits superior robust performance, guaranties finite- time convergence and stability of the closed-loop control system, eliminates the undesirable chattering phenomenon, and repress chaotic behaviors, completely. Finally, the effectiveness of the proposed controller is illustrated through the several numerical simulations.

Fractional calculus, Robust controller, Terminal sliding mode control, Chaos control, Finite-time stability, Uncertain chaotic systems