Adaptive synchronization scheme for chaotic gyros with input nonlinearity and parametric uncertainties

In this paper, an adaptive sliding mode approach is proposed for synchronization of chaotic gyros subject to input nonlinearity with uncertainties, external disturbances and unknown parameters. It is assumed that the bounds on the uncertainties and external disturbances are unknown. A stable switching surface is adopted which ensures the stability of the error dynamics in sliding mode and an adaptive sliding mode controller is designed to achieve synchronization of the systems when the control input is subjected to nonlinearities produced by actuator or external uncertainty sources. Simulation results are presented to verify the validity of the proposed control scheme.