Research on the Chaos Synchronization System Based on Critical State Control

Abstract

Chaos synchronization system is significant in future practice. Impulsive control is an effective method for generation of chaos synchronization. Based on analysis of critical state in chaos systems, a new impulsive synchronization approach is put forward, and the construction of synchronic system is schemed. Through analyzing the critical state of the strange attractor in chaos systems, it reveals that state needed for impulsive control is only the critical state of the chaotic system once a proper condition for judgment of critical state is selected. By such a theory chaos synchronization can be realized accurately and the control frequency as well as control cost will decrease greatly. The theory is finally verified by simulation result.