A general response system control method based on backstepping design for synchronization of continuous scalar chaotic signal

A general response system control method for synchronization of continuous scalar chaotic signal is presented. The proposed canonical general response system can cover most of the well-known chaotic systems. Conversely, each of these chaotic systems can also be used to construct the general response system. Furthermore, a novel controller of the proposed response system is designed based on backstepping technique, with which the output of the general response system and the given continuous chaotic signal can synchronize perfectly. Two numerical examples are given to illustrate the effectiveness of the proposed control method.