Robust Synchronization of Fractional Lorenz Systems Containing Nonlinear Inputs

Abstract

The problem of synchronization for fractional master-slave Lorenz chaotic systems coupled with sector nonlinear control input is investigated. Using the sliding mode control technique, a control scheme containing a new fraction-integer integral (FII) switching surface is developed to guarantee the synchronization of fractional Lorenz chaotic systems even when the sector nonlinearity is present. Numerical simulations are included to demonstrate the effectiveness of the proposed synchronization scheme.