Hybrid synchronization control of chaotic systems based on unbiased LS-SVM

ZHAO Yao-xin; ZHANG Guo-shan

doi:10.13873/J.1000-9787(2017)11-0115-04

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Hybrid synchronization control of chaotic systems based on unbiased LS-SVM

更新时间：2025-09-11

- Hybrid synchronization control of chaotic systems based on unbiased LS-SVM
- Vol. 36, Issue 11, Pages: 115-118+130(2017)
- 作者机构：
  
  天津大学电气与自动化工程学院
- 作者简介：
- 基金信息：
- DOI：10.13873/J.1000-9787(2017)11-0115-04
  CLC： O231;O415.5
- Published：2017
- 稿件说明：
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[1]赵垚鑫,张国山.基于无偏LS-SVM的混沌系统的混合同步控制[J].传感器与微系统,2017,36(11):115-118+130.

ZHAO Yao-xin, ZHANG Guo-shan. Hybrid synchronization control of chaotic systems based on unbiased LS-SVM[J]. 2017, 36(11): 115-118+130.
[1]赵垚鑫,张国山.基于无偏LS-SVM的混沌系统的混合同步控制[J].传感器与微系统,2017,36(11):115-118+130. DOI： 10.13873/J.1000-9787(2017)11-0115-04.

ZHAO Yao-xin, ZHANG Guo-shan. Hybrid synchronization control of chaotic systems based on unbiased LS-SVM[J]. 2017, 36(11): 115-118+130. DOI： 10.13873/J.1000-9787(2017)11-0115-04.

摘要

为实现超混沌系统与混沌系统的混合同步控制

通过对主系统采样

获得训练样本数集

设计了从系统混合同步轨线的形式;采用无偏最小二乘支持向量机（LS-SVM）的方法

引入核函数

获得优化目标

根据优化目标

求出混合同步轨线

设计了控制器。以超混沌Lorenz-Stenflo系统为主系统

Chen混沌系统为从系统为例

基于Matlab进行数值仿真

验证了方法的有效性。

Abstract

To realize hybrid synchronization control of hyper chaotic system and chaotic system

training sample number is obtained by sampling master system

and the hybrid synchronous trajectory of the slave system is set up. By using a method based on least square support vector machine（ LS-SVM）

and introducing the kernel function

the optimization target can be obtained

and according to optimization target

hybrid synchronous trajectory is gotten

and the controller is designed. Taking the hyper chaotic Lorenz-Stenflo system as master system

and Chen chaotic system as slave system

numerical simulations based on Matlab is carried out and verify efficiency of the method.

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references

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基于帐篷混沌观测矩阵的图像压缩感知 [J]. 刘叙含,申晓红,姚海洋,邓欣. 传感器与微系统 . 2014(09)

基于超混沌系统的彩色图像加密新算法 [J]. 柴秀丽,李伟,史春晓,赵鑫. 传感器与微系统 . 2013(08)

一种基于Cholesky分解的动态无偏LS-SVM学习算法 [J]. 蔡艳宁,胡昌华. 控制与决策 . 2008(12)

Adaptive synchronization between different hyperchaotic systems with fully uncertain parameters [J] . Jian Huang. Physics Letters A . 2008 (27)

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