Bachir Bourouba ¹ and Samir Ladaci ^{2, *
1} Sétif 1 University, Department of Electrical Engineering, 19000 Sétif, Algeria; bachir.bourouba@univ-setif.dz
² National Polytechnic School of Constantine, Depart. of E.E.A. Of.: 447, BP 75 A, Nouvelle ville Ali Mendjli,
Constantine 25100, Algeria; samir.ladaci@enp-constantine.dz; Tel.: +213-7-77809846

* Correspondence: samir_ladaci@yahoo.fr; sTel.: +213-7-77809846

In this paper, a new adaptive sliding mode control law has been designed according to the Lyapunov stability theorem, to control a class of fractional-order chaotic systems. Based on the fuzzy sets theory, an additive adaptive control law is introduced to compensate the uncertainties and disturbances. The stability analysis of the robust adaptive controller is performed. Finally, a numerical example on the sub-class of fractional-order Chen system has been included to demonstrate the effectiveness of the proposed control scheme.