河北师范大学学报—

期刊信息

刊名：河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
主办：河北师范大学
ISSN： 1000-5854
CN： 13-1061/N
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一个新复类Lorenz混沌系统的分析与追踪控制

彭建奎¹

俞建宁²

张莉³

1. 兰州文理学院师范学院, 甘肃兰州 730010;
2. 兰州交通大学数理学院, 甘肃兰州 730070;
3. 兰州工业学院基础部, 甘肃兰州 730050
DOI： 10.11826/j.issn.1000-5854.2014.06.007

Dynamics Analysis and Tracking Control of a New Complex Lorenz-like Chaotic System

PENG Jiankui¹, YU Jianning², ZHANG Li³

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摘要/Abstract

摘要：

在一个类Lorenz系统基础上构造新复类Lorenz混沌系统,运用Lypunov指数谱、分岔图分析新复类Lorenz系统的动力学行为,分析表明,随着参数的变化所构造新复类Lorenz系统呈单周期、高周期、准周期及混沌运动.并设计自适应追踪控制器,实现对周期信号和不同阶异结构广义同步的单变量追踪控制,运用Lyapunov稳定理论进行理论证明,同时运用数值仿真验证所设计自适应控制器的实用性和有效性.

Abstract：

A new complex Lorenz-like chaotic system was presented based on Lorenz-like system.Some of its basic dynamical behaviors are studied by Lyapunov exponent spectrum and bifurcation diagram,and it exhibits single cycle,high periodic,quasi-periodic and chaotic motion with proper parameters.Finally,a adaptive tracking controller is designed and single variable tracking control with periodic signal and different order different structure generalized synchronization is achieved.Lyapunov theory analysis and numerical simulation show that this designed adaptive controller is practical and efficient.

关键词

关键词： 新复类Lorenz系统 ; Lyapunov指数谱 ; 分岔图 ; 广义同步 ; 追踪控制

Key words： new complex Lorenz-like system ; Lyapunov exponent spectrum ; bifurcation diagram ; generalized synchronization ; tracking control

参考文献 12

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