电子、通信与自动控制

新型多翼磁控忆阻混沌系统及其自适应滑模同步控制

  • 徐昌彪 何颖辉 莫运辉 吴霞
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  • 1. 重庆邮电大学 光电工程学院,重庆 400065;
    2. 重庆邮电大学 通信与信息工程学院,重庆 400065
徐昌彪( 1972-) ,男,博士,教授,主要从事混沌及其控制研究

收稿日期: 2019-04-01

  修回日期: 2019-05-20

  网络出版日期: 2019-09-01

基金资助

国家杰出青年科学基金资助项目( 51685168) ;教育部重点基金资助项目( 02152) 

A Novel Chaotic System with Multi-Wing Attractors Based on Flux-Controlled Memristor and Its Adaptive Sliding Mode Synchronization Control

  • XU Changbiao HE Yinghui MO Yunhui WU Xia
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  •  1. School of Optoelectronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China; 2. School of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China
徐昌彪( 1972-) ,男,博士,教授,主要从事混沌及其控制研究

Received date: 2019-04-01

  Revised date: 2019-05-20

  Online published: 2019-09-01

Supported by

Supported by the National Science Fund for Distinguished Young Scholars( 51685168) and the Key Foundation of the Ministry of Education( 02152) 

摘要

基于共轭 Lorenz 系统,引入忆阻元件,提出了一个新型多翼磁控忆阻混沌系统, 此系统在改变参数时能够产生单翼、双翼、三翼、四翼等多种拓扑结构的混沌吸引子. 采用 相图、 Lyapunov 指数谱和分岔图分析了该系统的动力学特性,设计了该系统的模拟电路并 利用 Multisim 进行仿真. 电路仿真结果与数值分析结果吻合,从而验证了该系统的混沌行 为,亦表明了其可实现性. 最后,基于 Lyapunov 稳定理论设计了一个自适应滑模同步控制 器,在0. 25s 内实现了对给定信号的追踪, 0. 12s 内实现了对位置参数的快速辨识. 

本文引用格式

徐昌彪 何颖辉 莫运辉 吴霞 . 新型多翼磁控忆阻混沌系统及其自适应滑模同步控制[J]. 华南理工大学学报(自然科学版), 2019 , 47(10) : 34 -41 . DOI: 10.12141/j.issn.1000-565X.190153

Abstract

A novel chaotic system with multi-wing attractors was proposed based on the conjugate Lorenztype system and by introducing flux-controlled memristor. Single-wing,two-wing,three-wing and four-wing chaotic attractors can be produced by changing the system parameters. The dynamic characteristics of the system were analyzed through phase diagrams,Lyapunov exponents,bifurcation diagram,etc. An analog circuit of the system was designed and simulated by Multisim. The circuit simulation results were consistent with the results of numerical analysis,which verifies the system's chaotic behaviors and shows its implementability. Finally,an adaptive sliding mode synchronous controller was designed based on the Lyapunov stability theory,and the given signal was tracked within 0. 25s and the position parameters was identified quickly within 0. 12s by the controller. 

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