Control and Synchronization of Hyperchaotic System based on SDRE Method

In this paper, stabilization and synchronization problems of the hyperchaotic system is investigated. For this reason, state dependent Riccati equation (SDRE) is used. First, stabilizer is designed by SDRE method. Then, robust controller is designed that it can stabilize hyperchaotic system with uncertainly. Finally, synchronization problem between two hyperchaotic systems is considered. The optimal controller is designed that it synchronizes two hyperchaotic systems. Numerical simulation results are presented to show the effectiveness of the proposed controllers.