Abstract:

The modified function projective synchronization of chaotic systems with sector nonlinearity input, model uncertainties and external perturbation is discussed. Based on the Lyapunov stability theory and the variable structure control method of sliding mode, the sliding mode controller and adaptive update laws are designed, by which the synchronization of the drive and response systems to a desired scaling function matrix is realized . The proposed controller has a strong robust property since it is beyond the impact of input sector nonlinearity, model uncertainty and external perturbation.Simulation results of the uncertain hyperchaotic system show the efficiency of the proposed controller.