Synchronization of a modified Chua’s circuit system via adaptive sliding mode control

This study addresses the adaptive synchronization of a modified Chua’s circuit system with both unknown system parameters and the nonlinearity in the control input. An adaptive switching surface is newly adopted such that it becomes easy to ensure the stability of the error dynamics in the sliding mode. Based on this adaptive switching surface, an adaptive sliding mode controller (ASMC) is derived to guarantee the occurrence of the sliding motion, even when the system is undergoing input nonlinearity. This method can also be easily extended to a general class of Chua’s circuits. An illustrative example is given to show the applicability of the proposed ASMC design.