分数阶细胞神经网络的动力学特性分析及控制设计  

Dynamic Analysis and Control Design of Fractional-Order Cellular Neural Networks

作　　者：王仁明[1] 陈昱 张赟宁[1] 王凌云[1] Wang Renming;Chen Yu;Zhang Yunning;Wang Lingyun(College of Electrical Engineering&Renewable Energy,China Three Gorges Univ.,Yichang 443002,China)

机构地区：[1]三峡大学电气与新能源学院

出　　处：《三峡大学学报（自然科学版）》2019年第6期102-107,共6页Journal of China Three Gorges University：Natural Sciences

基　　金：国家自然科学基金资助项目(61603212;51407104)

摘　　要：构建了一个四阶分数阶细胞神经网络系统模型,通过仿真分析了其动力学特性,如混沌吸引子、时序图、李雅普诺夫指数、平衡点的稳定性.同时也验证了在相同的系统参数和初始条件下,系统的混沌吸引子结构依赖于分数阶阶次的取值,并给出了系统出现混沌的参数范围.设计了状态反馈控制器镇定系统的平衡点.仿真结果验证了理论分析的正确性.A four-dimensional dynamic model for the fractional-order cellular neural network system is constructed;and its dynamic characteristics such as chaotic attractor, time series diagram, Lyapunov index and stability of equilibrium point, are analyzed based on Matlab simulation. Meanwhile, it is verified that the chaotic attractor structure of the system depends on the value of fractional order under the same system parameters and initial conditions as well. A state feedback controller is designed to stabilize the equilibrium point of the system. The simulation results verify the effectiveness of theoretical analysis.

关 键 词：分数阶细胞神经网络 混沌吸引子 李雅普诺夫指数 状态反馈控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]