Hybrid Synchronization of Hyperchaotic Lü System based on Global Sliding Mode Controller

This paper is concerned with hybrid synchronization of two hyperchaotic Lü system under different initial values using single controller. Traditional sliding mode controller (TSMC) and global sliding mode controller (GSMC) are designed with new reaching law to reduce the chattering. Simulation experiments are given to compare the effectiveness of TSMC and GSMC. Numerical simulations have shown that TSMC and GSMC can both achieve hybrid synchronization of hyperchaotic systems and the GSMC is more effective than TSMC.