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基于连续时间 T-S 模糊模型非线性系统的稳定性分析

李丽芳

吉林大学学报(理学版)Issue(4):789-793,5.
吉林大学学报(理学版)Issue(4):789-793,5.DOI:10.13413/j.cnki.jdxblxb.2014.04.30

基于连续时间 T-S 模糊模型非线性系统的稳定性分析

Stability Analysis of Nonlinear Systems Based on Continuous-Time Takagi-Sugeno Fuzzy Model

李丽芳1

作者信息

  • 1. 吉林警察学院 信息工程系,长春 130117
  • 折叠

摘要

Abstract

A novel stability analyisis method was proposed for addressing the problem of stability analysis of continuous-time nonlinear systems based on the Takagi-Sugeno fuzzy model.In the process of stability analysis,a slack matrix method was applied to further considering the useful underlying fuzzy membership functions’time derivative.Owing to more freedom can be introduced in virtue of the slack matrix method,the obtained stability criteria are less conservative than those existing ones. Furthermore,the stability criteria proposed are given in terms of linear matrix inequality,which is easily solved via MATLAB numerical software.Finally,a numerical example was given to illustrate the effectiveness of the proposed result.

关键词

非线性系统/稳定性分析/T-S 模糊模型/松弛矩阵

Key words

nonlinear systems/stability analysis/T-S fuzzy model/slack matrix

分类

信息技术与安全科学

引用本文复制引用

李丽芳..基于连续时间 T-S 模糊模型非线性系统的稳定性分析[J].吉林大学学报(理学版),2014,(4):789-793,5.

基金项目

国家自然科学基金(批准号:21127010) (批准号:21127010)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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