分数阶混沌系统广义混合投影同步与参数辨识  

Generalized Hybrid Projective Synchronization of Fractional Chaotic with Uncertain Parameters

作　　者：李睿[1] 张广军[1] 赵静波[1] 朱涛[1] 

机构地区：[1]空军工程大学理学院,陕西西安710051

出　　处：《计算机仿真》2014年第12期325-328,共4页Computer Simulation

摘　　要：研究两个不同的分数阶混沌系统的广义混合投影同步(GHPS)及参数辨识。基于分数阶稳定性理论,运用自适应控制法与混合反馈控制法,设计混合反馈控制器及参数自适应控制律。控制器能够根据误差状态自动调节反馈增益系数,能有效提高同步效率,最终实现了两个不同的分数阶混沌系统的广义混合投影同步并估计出不确定参数,并给出严格数学证明。最后通过预估校正算法进行了数值仿真,结果表明:由驱动系统与响应系统构建的误差系统将在一定时间内稳定于零点,验证了该方法的有效性和可行性。Generalized hybrid projective synchronization（GHPS） between two different fractional chaotic systems are investigated. Based on fractional stability theory and taking hybrid feedback control method and adaptive control method, hybrid feedback controller and parameter update laws are designed. The feedback gain of hybrid feedback controller can be adjusted according to the synchronization error state and values automatically. This feature promotes synchronization effieienctly. Under the controller, generalized hybrid projective synchronization has achieved between the two fractional chaotic systems,the all uncertain parameters are identified and the strict proof has been given. Nu- merical simulation is carried out to illustrate the effectiveness of the obtained results, by using predictor - corrector a- rithmetic. The numerical simulation shows that the errors of the system can become zero in short time.

关 键 词：分数阶系统 混沌 广义混合投影同步 参数不确定 混合反馈控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]