| 不确定离散模糊时滞系统的时滞相关H∞控制 |
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| 引用本文： | 陈志盛,彭可,李勇刚,张泰山.不确定离散模糊时滞系统的时滞相关H∞控制[J].自动化学报,2006,32(5):834-838. |
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| 作者姓名： | 陈志盛 彭可 李勇刚 张泰山 |
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| 作者单位： | 1.长沙理工大学能源与动力工程学院, 长沙 410076; |
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| 基金项目： | 国家自然科学基金;湖南省教育厅资助项目 |
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| 摘 要： | 研究了不确定离散T-S模糊时滞系统的稳定性分析与H∞控制问题．通过构造适当的Lyapunov泛函,给出了系统的时滞相关稳定新判据．进而利用线性矩阵不等式方法,研究了H∞模糊状态反馈控制器存在的充分条件,并提出控制器优化设计的迭代算法．
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| 关 键 词： | T-S模糊系统 时滞相关 鲁棒控制 线性矩阵不等式 |
| 收稿时间： | 2004-12-18 |
| 修稿时间： | 2006-05-27 |
Delay-Dependent H∞ Control for Uncertain Discrete-Time Delay Fuzzy Systems |
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| CHEN Zhi-Sheng,PENG Ke,LI Yong-Gang,ZHANG Tai-Shan.Delay-Dependent H∞ Control for Uncertain Discrete-Time Delay Fuzzy Systems[J].Acta Automatica Sinica,2006,32(5):834-838. |
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| Authors: | CHEN Zhi-Sheng PENG Ke LI Yong-Gang ZHANG Tai-Shan |
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| Affiliation: | 1.School of Energy and Power Engineering, Changsha University of Science and Technology, Changsha 410076;College of Engineering, Hunan Normal University, Changsha 410081;School of Information Science and Engineering, Central South University, Changsha 410083 |
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| Abstract: | Problems of stability and H∞ control for discrete-time T-S fuzzy systems with state delay and uncertainties are discussed. A new delay-dependent stability criterion is first proposed by defining an appropriate Lyapunov function. Then, the sufficient conditions for the existence of H∞ fuzzy state-feedback controller is investigated in terms of linear matrix inequality(LMI). Finally, an iterative algorithm is provided for the optimal design of the H∞ controller. |
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| Keywords: | T-S fuzzy system delay-dependent robust control linear matrix inequality |
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