滑模控制的时滞分数阶金融系统混沌同步  

Chaos synchronization of fractional order financial systems with time-delay based on sliding control

作　　者：朱涛[1] 张广军[1] 姚宏[1] 李睿[1] 

机构地区：[1]空军工程大学理学院,西安710051

出　　处：《深圳大学学报（理工版）》2014年第6期626-629,共4页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目(10872156);航空科学基金资助项目(20111396011)~~

摘　　要：以非同等阶次的时滞分数阶金融系统为研究对象,研究以单一滑模控制器控制时滞分数阶金融系统实现混沌同步.通过计算Lyapunov指数的方式,分析时滞分数阶金融系统在指定参数条件下的动力学行为,提出单一控制器控制方法,并通过理论证明和仿真实验验证该方法可行,分析系统在出现外部扰动时控制方法的抗干扰能力.结果表明,所提出的单一积分滑模控制方法能够控制时滞分数阶动力系统实现混沌同步,鲁棒性佳.Chaotic self-synchronization of financial system controlled by a single sliding mode controller is investigated for non-identical order financial system with time-delay. The dynamic behavior of fractional order financial systems with time delay is analyzed under given parameters by calculating the Lyapunov exponent. On this basis is proposed a single sliding mode scheme,whose validity is verified through strict theoretical proof and numerical simulation. The robustness of the control scheme is investigated in the presence of external noise. Results show that the control scheme is robust,and the chaotic synchronization of fractional-order nonlinear dynamical system with time delay can be realized by means of a single integral sliding mode control.

关 键 词：混沌 时滞分数阶 非同等阶次 单一控制器 外部扰动 滑模控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]