| 不确定模糊系统的输出反馈控制 |
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| 引用本文： | 李丽 巩长忠. 不确定模糊系统的输出反馈控制[J]. 辽宁工学院学报, 2005, 25(1): 17-22 |
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| 作者姓名： | 李丽 巩长忠 |
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| 作者单位： | 渤海大学数学系，渤海大学数学系 辽宁锦州 121000，辽宁锦州 121000 |
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| 摘 要： | 对一类不确定非线性系统利用模糊T-S模型进行建模，在此基础上提出了不确定模糊系统的输出反馈控制的设计。用矩阵不等式的形式给出了模糊系统可通过输出反馈控制的充分条件。通过引入辅助变量将矩阵不等式的条件转化为迭代线性矩阵不等式(LMI)，并给出了相应的算法，最后通过数值算例和仿真结果表明该算法的有效性。
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| 关 键 词： | 输出反馈控制 模糊系统 线性矩阵不等式（LMI） 不确定非线性系统 模糊T-S模型 充分条件 辅助变量 仿真结果 数值算例 算法 |
| 文章编号： | 1005-1090(2005)01-0017-06 |
| 修稿时间： | 2004-06-15 |
Uncertain Static Output Feedback Stabilization for Fuzzy Systems |
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| LI Li,GONG Chang-zhong. Uncertain Static Output Feedback Stabilization for Fuzzy Systems[J]. Journal of Liaoning Institute of Technology(Natural Science Edition), 2005, 25(1): 17-22 |
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| Authors: | LI Li GONG Chang-zhong |
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| Abstract: | The Takagi-Sugeno (T-S) fuzzy model was used to represent a nonlinear systems of uncertainty. On the basis of the fuzzy modeling, the output feedback stabilization in uncertain fuzzy system was proposed. Sufficient conditions for the solvability of the quadratic stabilization via output feedback were established in terms of matrix inequality, and also by adding some auxiliary variable, an iterative linear matrix inequality (ILMI) algorithm was given. Finally, a numeric example and its simulation results were given to demonstrate the effectiveness of the design algorithm. |
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| Keywords: | uncertain nonlinear systems fuzzy systems output feedback linear matrix inequality |
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