基于神经模糊网络的分数阶Chameleon系统同步研究  

Synchronization of fractional-order Chameleon systems based on neuro-fuzzy network

作　　者：陈嘉乐 赵小山[1] CHEN Jiale;ZHAO Xiaoshan(SchoolofSciences,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《天津职业技术师范大学学报》2022年第3期18-22,共5页Journal of Tianjin University of Technology and Education

基　　金：国家自然科学基金资助项目(11901435);天津市自然科学基金资助项目(17JCYBJC15700).

摘　　要：针对具有不确定性和外部干扰的分数阶超混沌Chameleon系统的同步问题,基于分数阶微积分理论、神经模糊网络控制和自适应滑模控制方法设计了控制器和参数更新律,取得分数阶超混沌Chameleon系统自适应神经模糊网络滑模同步的充分条件。利用神经模糊控制器对未知非线性函数进行估计,设计自适应律对外部扰动估计量和逼近误差进行自适应调整。基于分数阶李雅普诺夫定理证明了文中所用控制器的渐近稳定性,通过Matlab数值仿真验证了该方案的有效性和鲁棒性。The study aims to address the synchronization problem of fractional-order hyperchaotic Chameleon systems with uncertainties and external disturbances.Based on the fractional calculus theory,neural-fuzzy network control,and adaptive sliding mode control method,the controller and parameter update laws were designed,and sufficient conditions were obtained for adaptive neural fuzzy network sliding mode synchronization of fractional-order hyperchaotic Chameleon systems.Neural fuzzy controllers were used to estimate the unknown nonlinear function,and adaptive laws were designed to adaptively adjust the external disturbance estimator and approximation error.The asymptotic stability of the controller was proved based on the fractional Lyapunov theorem.The effectiveness and robustness of the scheme were verified by Matlab numerical simulation.

关 键 词：超混沌Chameleon系统 滑模控制 神经模糊网络 自适应控制 分数阶 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]