Robust synchronization of chaotic systems using adaptive sliding mode output feedback control

Abstract

This paper presents an adaptive sliding mode output feedback control method for a class of master–slave chaotic synchronization systems using only output variables. Using a simple adaptation law, a modified sliding mode controller is derived to guarantee the existence of the sliding mode. The proposed scheme not only ensures global synchronization between the master and slave systems, but also can be implemented without requiring a priori knowledge of uncertainties and external disturbances. Moreover, the structure of the slave system is simple and need not be identical to that of the master system. An illustrative example of a six-order coupled Chua hyper-chaotic circuit is given to demonstrate the effectiveness of the proposed synchronization scheme.