Hybrid Synchronization of Lü Hyperchaotic System with Disturbances by Sliding Mode Control

Hybrid synchronization of the Lü hyperchaotic system with disturbance is investigated. Using the principle of poles assignment method, the switching function is designed to guarantee Anti-synchronization of slide mode with nonlinearity terms. Using modified exponent hitting condition of sliding mode, a robust synchronization controller is proposed. In contrast to the previous works, sliding mode of this controller is free from the influence of disturbance, and the system has both better robustness and quick tracking. Therefore the computation is simple and the conservation is smaller. Finally, the simulation is put forward to demonstrate the correctness and effectiveness of the proposed methods.