Adaptive Sliding Mode Output Synchronization Tracking for Hyper-Chaotic Lu System Based on Adaptive PWL Filters

摘要

In this work, an adaptive sliding mode control method is presented to achieve output synchronization tracking for the uncertain hyper-chaotic Lu system. An adaptive piecewise linear (PWL) filter is used to identify the uncertain hyper-chaotic system. Base on the identification results, an adaptive sliding mode controller is designed to obtain output synchronization tracking for the hyper-chaotic Lu system. The convergence condition of the adaptive PWL filter is derived based on the Lyapunov theorem. Simulation is done to verify the effectiveness and correction of the proposed identification and synchronization tracking control method.