| 引用本文: | 朱宝彦,张庆灵,佟绍成.一类Takagi-Sugeno模糊离散广义系统的稳定性判据[J].控制理论与应用,2007,24(1):113~116.[点击复制] |
| ZHU Bao-yan , ZHANG
Qing-ling , TONG Shao-cheng.Stability criteria for a class ofTakagi-Sugeno fuzzy discrete descriptor system[J].Control Theory and Technology,2007,24(1):113~116.[点击复制] |
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| 一类Takagi-Sugeno模糊离散广义系统的稳定性判据 |
| Stability criteria for a class ofTakagi-Sugeno fuzzy discrete descriptor system |
| 摘要点击 1546 全文点击 1338 投稿时间：2005-05-19 修订日期：2006-02-23 |
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| DOI编号 10.7641/j.issn.1000-8152.2007.1.021 |
| 2007,24(1):113-116 |
| 中文关键词 T-S模糊系统 离散广义系统 稳定 线性矩阵不等式 |
| 英文关键词 T-S fuzzy systems discrete
descriptor systems stability linear matrix inequality(LMI) |
| 基金项目 国家自然科学基金资助项目 60574011 ;
937计划课题资助项目 2002CB312200-04 ;
辽宁省普通高校学科带头人基金资助项目 124210 ;
智能控制理论及应用辽宁省高校重点实验室基金资助项目 200521308 |
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| 中文摘要 |
| 利用Lyapunov方法,
研究了一类Takagi-Sugeno(T-S)模糊离散广义系统的稳定性问题.
给出了该系统一致正则、因果和稳定的充分条件,
并把此条件用线性矩阵不等式(LMI)表示.
通过矩阵分解把广义系统的非严格矩阵不等式约束转化成严格的矩阵不等式约束,
从而可以用LMI工具
箱一次判定系统的稳定性, 算例说明所给方法使用方便. |
| 英文摘要 |
| The
stability problem was studied for a class of
Takagi-Sugeno(T-S) fuzzy discrete descriptor system by using Lyapunov's method.
The sufficient conditions to test the consistency regularity and causality and stability
are given for the system. The conditions are expressed as linear matrix inequality(LMI).
The nonstrict LMI restricted conditions are transformed into the strict ones by means of
the matrix decomposition. Verification of the stability for the system can be done only
once by using LMI Toolbox. A numerical example demonstrates the simplicity of the proposed method. |