超混沌系统在分数阶区域完全同步与参数辨识  

Parameters Identification and Complete Synchronization of Heperchaotic System in Fractional-Order Area

作　　者：朱涛[1] 张广军[1] 李睿[1] 董俊[2] 

机构地区：[1]空军工程大学理学院,陕西西安710051 [2]空军第一航空学院,河南信阳464000

出　　处：《计算机仿真》2014年第7期255-258,共4页Computer Simulation

基　　金：国家自然科学基金(10872156);航空基金(20111396011)

摘　　要：在两个分数阶超混沌系统同步的研究中,针对异结构超混沌系统在一定分数阶区域并且同时含有多个不确定参数情况下的完全同步与参数辨识问题,利用分数阶系统稳定性理论和反馈控制方法设计同步控制器和参数演化规则,分析同步实现、参数辨识与反馈变量之间的关联性,然后将所研究的分数阶阶次推广到一定范围,最后对上述同步方法进行一系列仿真验证。结果表明,借助上述同步控制器和参数演化规则,两个异结构的分数阶超混沌系统可以在超混沌状态的最低阶次范围内以任意一组给出的阶次qi实现完全同步和参数辨识。The paper took two fresh fractional-order heperchaotic systems as an example, and completed synchronization and parameter identification of different heperchaotic system with several uncertain parameters investigated under a fractional-order area. Firstly, based on the fractional-order stability theory and feedback control technique, a controller and parameter update rule was designed, meanwhile the relationship between synchronization, parameters identification and feedback variable was analysed. Then, fractional order was extended to an area. Finally, a series of simulation test was established. The simulation results show that by means of synchronization controller and parameter update rule in this letter, two different fractional-order heperchaotic systems can choose a random fractional-order qi above the lowest order value of the heperchaotic system, even though qiis inequality it can realize complete synchroni- zation and parameters identification.

关 键 词：分数阶 超混沌 完全同步 参数辨识 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]