| 引用本文: | 贾新春,张静梅,李宏峰,郑南宁.Takagi-Sugeno模糊连续系统的模糊采样控制[J].控制理论与应用,2007,24(1):69~74.[点击复制] |
| JIA Xin-chun,ZHANG
Jing-mei ,LI Hong-feng,ZHENG Nan-ning.Fuzzy sampled-data control forTakagi-Sugeno continuous-time fuzzy systems[J].Control Theory and Technology,2007,24(1):69~74.[点击复制] |
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| Takagi-Sugeno模糊连续系统的模糊采样控制 |
| Fuzzy sampled-data control forTakagi-Sugeno continuous-time fuzzy systems |
| 摘要点击 1652 全文点击 1364 投稿时间：2005-05-12 修订日期：2006-02-23 |
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| DOI编号 10.7641/j.issn.1000-8152.2007.1.012 |
| 2007,24(1):69-74 |
| 中文关键词 T-S模糊系统 模糊采样控制 线性矩阵不等式(LMI)方法 镇定 |
| 英文关键词 T-S fuzzy systems fuzzy
sampled-data control linear matrix inequality (LMI) approach stabilization |
| 基金项目 国家创新研究群体科学基金资助项目 60024301;山西省自然科学基金资助项目 20051032, 20041001 |
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| 中文摘要 |
| 研究了T-S模糊连续系统的模糊采样控制问题.
利用广义系统的描述方法、
Lyapunov-Krasovikii泛函以及线性矩阵不等式(LMI)方法,
建立了LMIs形式的依赖于采样时间间隔的模糊采样镇定条件,
同时给出了模糊采样控制律的设计方法.
所设计的模糊采样控制律可以镇定T-S模糊系统. 而且,
当连续时间模糊控制律可以镇定T-S模糊系统时, 对于足够小的采样时间间隔,
带有同样增益矩阵的
模糊采样控制律也可以镇定T-S模糊系统. 最后, 通过两个仿真实例说明了所给方法的有效性. |
| 英文摘要 |
| The fuzzy
sampled-data control problem for Takagi-Sugeno(T-S) continuous-time
fuzzy systems is discussed in this paper. A linear matrix
inequalities (LMIs) condition for
fuzzy sampled-data stabilization of T-S fuzzy systems is established via descriptor
system approach and Lyapunov-Krasovikii function, as well as the LMI approach.
The design methods of such fuzzy sampled-data control law which can stabilize T-S fuzzy systems,
are simultaneously given. Moreover, when a continuous-time fuzzy controller can stabilize the T-S fuzzy systems,
the corresponding fuzzy sampled-data controller with the same gain matrices can stabilize such T-S
fuzzy systems for any small enough sampling intervals. Finally,two design examples are given to
demonstrate the effectiveness of our design methods. |
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