State-Observer Based Synchronization Control Between Fractional-Order Unified Chaotic Systems

逯俊杰; 刘崇新; 张作鹏; 陈向荣

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State-Observer Based Synchronization Control Between Fractional-Order Unified Chaotic Systems

更新时间：2025-12-08

- State-Observer Based Synchronization Control Between Fractional-Order Unified Chaotic Systems
- Vol. 41, Issue 4, Pages: 497-500(2007)
- 作者机构：
  
  西安交通大学电气工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： O415.5
- Online First：10 April 2007，
  
  Published：2007
- 稿件说明：
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逯俊杰, 刘崇新, 张作鹏, et al. State-Observer Based Synchronization Control Between Fractional-Order Unified Chaotic Systems[J]. 2007, 41(4): 497-500.
DOI：

逯俊杰, 刘崇新, 张作鹏, et al. State-Observer Based Synchronization Control Between Fractional-Order Unified Chaotic Systems[J]. 2007, 41(4): 497-500. DOI：

摘要

基于状态观测器控制法

提出一种分数阶系统状态观测器

实现了2.7阶统一混沌系统的同步控制.Matlab仿真结果表明

基于状态观测器的控制方法不仅适用于整数阶混沌系统

也适用于分数阶混沌系统.利用该方法实现混沌系统的同步

无需计算系统的Lyapunov指数

在工程上易于实现

为混沌系统及分数阶混沌系统在实际中的应用奠定了理论基础.

Abstract

A fractional-order state-observer is proposed and the synchronization between 2.7-order unified chaotic systems is realized based on the control method of state-observer. The results simulated by Matlab prove that the scheme is applicable to either integral-order systems or fractional-order systems. The state-observer based chaotic synchronization facilitates the engineering realization without calculating the system Lyapunov index and establishes the groundwork for the factual applications of chaotic system and the fractional-order chaotic system.

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references

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