分数阶超混沌Chen系统和分数阶超混沌Rssler系统的异结构同步

Synchronization for fractional order hyperchaotic Chen system and fractional order hyperchaotic Rssler system with different structure

分数阶系统具有更大的密钥空间,然而异结构的分数阶系统在保密通信领域更具有普遍性,因此,研究异结构的分数阶同步问题具有重要的意义.本文讨论了分数阶超混沌Chen系统和分数阶超混沌Rossler系统的异结构同步问题,基于分数阶系统稳定性理论,应用主动控制同步法和自适应控制同步法来设计各自不同的控制器,使得响应系统和驱动系统同步.数值仿真表明了本文所研究方法的可行性和有效性.

There is larger key space in fractional order hyperchaotic systems （FOHS）, however, the FOHS with different structures are more common in the field of secret communication. Therefore, it is important to study the synchronization method of the system. In this paper, the synchronization between two different FOHS is investigated, i.e., the Chen FOHS and the R6ssler FOHs. Based on the fractional order stability theory, two different controllers are designed for synchronizing the drive system and the response system. When the parameters are known in advance, active control synchronization is adopted, the method is simple without constructing any special function. When the parameters are fully unknown, a adaptive control law and a parameter update rule are introduced. Numerical simulations are presented to verify the effectiveness and the feasibility of the synchronization scheme.