Robust Synchronization of Unified Chaotic Systems via Adaptive Sliding Mode Control

Abstract

The problem synchronization for a class of uncertain drive-response chaotic systems with the parameter uncertainty and external perturbation is investigated. The sliding switching surface is designed by solving linear matrix inequality. For uncertain nonlinear functions in chaotic systems, and a robust adaptive controller is established based on sliding mode, which makes easy to design sliding mode controller. Finally, simulation examples are presented to demonstrate the application of the theoretical results.