An Improved LLE-Based Approach to Fault Diagnosis of Nonlinear System

ZHANG Wei; ZHOU Wei-jia; LIU Xiao-yuan

doi:10.3969/j.issn.0372-2112.2015.09.020

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An Improved LLE-Based Approach to Fault Diagnosis of Nonlinear System

更新时间：2025-07-16

- An Improved LLE-Based Approach to Fault Diagnosis of Nonlinear System
- Acta Electronica Sinica Vol. 43, Issue 9, Pages: 1810-1815(2015)
- 作者机构：
  
  中国科学院沈阳自动化研究所机器人学国家重点实验室,辽宁,沈阳,110016
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.51175494)
- DOI：10.3969/j.issn.0372-2112.2015.09.020
  CLC： TP206
- Published：2015
- 稿件说明：
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ZHANG Wei, ZHOU Wei-jia, LIU Xiao-yuan. An Improved LLE-Based Approach to Fault Diagnosis of Nonlinear System[J]. Acta Electronica Sinica, 2015, 43(9): 1810-1815.
DOI：

ZHANG Wei, ZHOU Wei-jia, LIU Xiao-yuan. An Improved LLE-Based Approach to Fault Diagnosis of Nonlinear System[J]. Acta Electronica Sinica, 2015, 43(9): 1810-1815. DOI： 10.3969/j.issn.0372-2112.2015.09.020.

摘要

针对非线性系统故障诊断难以解决的问题

提出了一种基于扩展局部线性嵌入映射(Locally Linear Embedding

LLE)的故障诊断方法.通过引入切空间距离代替欧氏距离

可以更加科学的满足算法近邻点局部线性的要求

从而可以更好的保留原始数据的局部流形特征.另外

将故障状态与高维空间分布结合起来

通过确定数据点在空间超球内的分布完成故障的检测

在这个过程中将超球的确定与LLE算法中基于核函数的样本外数据扩展相结合

减少了计算量

提高了算法的实时性

从而为复杂非线性系统的故障诊断提供了一种新的有效的方法.

Abstract

It is quite a difficult problem of fault detection in nonlinear system.In this paper

a new method based on LLE is proposed to solve the problem.Firstly

tangent space distance is introduced to LLE(Locally Linear Embedding) algorithm

which can satisfy the hypothesis of locally linear patch of LLE

and so it can preserve the local manifold features of the original data better.And then

fault state is combined with special distribution to complete the fault detection.Out of sample extension is also considered

and combined with fault detection algorithm

which can reduce computation obviously and improves real time capability of the Thereby algorithm.provides a new effective method for the fault diagnosis of complicated nonlinear system.

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