Synchronization of a Class of Partially Unknown Chaotic System with Adaptive Nonlinear Observer

王晶 1; 高金峰 2; 马西奎 1

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Synchronization of a Class of Partially Unknown Chaotic System with Adaptive Nonlinear Observer

更新时间：2025-12-08

- Synchronization of a Class of Partially Unknown Chaotic System with Adaptive Nonlinear Observer
- Vol. 41, Issue 10, Pages: 1165-1169(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： TP273.2;O415.5
- Online First：10 October 2007，
  
  Published：2007
- 稿件说明：
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王晶 1, 高金峰 2, 马西奎 1. Synchronization of a Class of Partially Unknown Chaotic System with Adaptive Nonlinear Observer[J]. 2007, 41(10): 1165-1169.
DOI：

王晶 1, 高金峰 2, 马西奎 1. Synchronization of a Class of Partially Unknown Chaotic System with Adaptive Nonlinear Observer[J]. 2007, 41(10): 1165-1169. DOI：

摘要

针对一类结构部分未知混沌系统

设计了一种含有补偿器的自适应正交神经网络非线性观测器.这种自适应非线性观测器以混沌系统的线性部分能准确复制为前提

利用正交神经网络的非线性逼近能力实现结构部分未知混沌系统在状态不可测情况下的同步.所设计的观测器中正交神经网络的权值和补偿控制器的自适应调节规律都是通过Lyapunov稳定性原理推导所得

保证了闭环系统的稳定性

且补偿输入小

同步速度快.理论研究和仿真结果都表明

基于正交神经网络的非线性观测器在被观测混沌系统存在结构部分未知情况时

仍然能完成混沌系统的大范围同步控制

并且这种同步控制方法收敛速度快

所需控制量小

实用范围广.

Abstract

A novel adaptive nonlinear observer with a compensator based on orthogonal neural networks is designed for a class of chaotic system where the nonlinear portion of the structure can not be evaluated. The adaptation laws of the network weight and the controller are derived from Lyapunov stability analysis to ensure the stability of the closed loop system. Numerical examples show that the synchronization of chaotic system can be achieved even if the structure of the chaotic system gets partially unknown. Moreover

the higher synchronizing rate and smaller control task verify the practicability of the proposed method.

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references

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