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Abstract: For the sliding mode controller of uncertain chaotic systems subject to input nonlinearity, the upper bound of the norm of uncertainties is commonly used to determine the controller parameter. However, this will cause serious chattering. In order to overcome this drawback, two new sliding mode controllers are proposed to ensure robust synchronization for a classes of chaotic systems with input nonlinearities and external uncertainty. Compared with the existing results, the proposed controllers can effectively reduce the chattering nearby sliding mode and improve the dynamic performance of the systems. Simulation results are provided to verify the proposed methods. [Copyright &y& Elsevier]

Abstract: This paper investigates the chaos synchronization problem for drive-response Chua’s systems coupled with dead-zone nonlinear input. An estimator of unknown nonlinear term is proposed. Using the sliding mode control technique and the estimate of unknown nonlinear term, a novel variable structure controller which guarantees projective synchronization even when the dead-zone nonlinearity is present. Computer simulations are provided to demonstrate the effectiveness of the proposed synchronization scheme. [Copyright &y& Elsevier]

Abstract: The problem of sliding mode control for uncertain time-delay systems subjected to input nonlinearity is investigated. Using the sliding mode control, a robust law is established such that the reachability of the sliding surface in the state-estimation space is guaranteed, and the sufficient condition for asymptotic stability of the error system and sliding mode dynamics with disturbance attenuation level is derived via linear matrix inequality (LMI). Finally, a simulation example is presented to verify the validity of the proposed method. [Copyright &y& Elsevier]